Entanglement of Trapped-Ion Qubits Separated by 230 Meters
Open accessAbstract
We report on an elementary quantum network of two atomic ions separated by 230 m. The ions are trapped in different buildings and connected with 520(2) m of optical fiber. At each network node, the electronic state of an ion is entangled with the polarization state of a single cavity photon; subsequent to interference of the photons at a beam splitter, photon detection heralds entanglement between the two ions. Fidelities of up to (88.0+2.2-4.7)% are achieved with respect to a maximally entangled Bell state, with a success probability of 4×10^{-5}. We analyze the routes to improve these metrics, paving the way for long-distance networks of entangled quantum processors.
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Written from the paper’s full text.
TL;DR
Two trapped-ion nodes in separate buildings 230 m apart were entangled using cavity-generated photons sent through 520(2) m of optical fiber and interfered at a beam splitter. Bell-state fidelities reached up to about 88% for short coincidence windows, with a correspondingly low heralding success probability.
Key findings
- The experiment entangled two single \(^{40}\mathrm{Ca}^+\) ions in different buildings separated by 230 m, connected by 520(2) m of fiber, with entanglement heralded by coincident detection of two 854 nm photons after beam-splitter interference.
- For a coincidence window \(T=1\,\mu\mathrm{s}\), the reconstructed Bell-state fidelities were \(F_+ = (88.0^{+2.2}_{-4.7})\%\) and \(F_- = (83.3^{+3.3}_{-6.4})\%\), based on 555 coincidence events and a rate of 3.5 min\(^{-1}\). For \(T=17.5\,\mu\mathrm{s}\), fidelities fell to \(F_+ = (58.7^{+1.7}_{-2.1})\%\) and \(F_- = (58.0^{+2.0}_{-2.9})\%\).
- Across 13,656,928 attempts, 4470 coincidences were recorded in the 5.5–23 \(\mu\mathrm{s}\) interval, giving a 0.033% success probability per attempt and a 0.49 s\(^{-1}\) entanglement rate; the high-fidelity \(T=1\,\mu\mathrm{s}\) subset corresponds to roughly \(4\times10^{-5}\) success probability.
- Calibration measurements gave ion-photon entanglement fidelities of \((92.9^{+0.4}_{-0.5})\%\) at Node A and \((95.5^{+0.6}_{-0.9})\%\) at Node B, while two-photon interference visibility reached 101(6)% for \(T=0.25\,\mu\mathrm{s}\). Fidelity decreased with longer coincidence windows, which the models attribute to reduced photon indistinguishability, detector background, imperfect ion-photon entanglement, and technical noise.
Methods
- Each node used a single \(^{40}\mathrm{Ca}^+\) ion in a linear Paul trap coupled to a 20 mm cavity; a bichromatic cavity-mediated Raman transition generated an ion-photon entangled state, and photons from the two nodes were overlapped on a balanced beam splitter for a photonic Bell-state measurement.
- Data were acquired over seven hours, with up to 20 attempts per entanglement sequence, 0.3 ms initialization, a 50 \(\mu\mathrm{s}\) Raman pulse, and a 50 \(\mu\mathrm{s}\) detection window; the ion-ion state was reconstructed by quantum state tomography over nine Pauli basis combinations using maximum-likelihood estimation, with uncertainties from Monte Carlo resampling.
- Two models were used: an empirical two-qubit density-matrix model incorporating photon distinguishability via Hong-Ou-Mandel visibility, detector background, and imperfect ion-photon entanglement; and a master-equation model for visibility including cavity frequency jitter, Raman-laser phase noise, and spontaneous emission.
Limitations
- The paper has no dedicated limitations section. It states that fidelity and heralding efficiency trade off: longer coincidence windows lower fidelity because photon distinguishability increases, and spontaneous emission is identified as the most significant challenge. Technical noise from cavity jitter (60–100 kHz) and Raman-laser phase noise, plus temporal wave-packet mismatch, also limit visibility.
- Evident from the text: only one ion per node was used, so register-based processing at network nodes was not demonstrated; the high-fidelity regime has a very low success probability, and the reported rates are 0.49 s\(^{-1}\) for the broader window and 3.5 min\(^{-1}\) for \(T=1\,\mu\mathrm{s}\).
- The phase \(\phi\) was optimized from the data rather than determined independently from the node phases \(\theta_A\) and \(\theta_B\), which is an evident methodological limitation for full independent characterization.
Model-written summary. Check it against the paper before relying on it.
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Cites
Statistics
Claims the paper makes
13 of 24 cited sources checked · 8 supported · 0 flagged · accuracy not yet measured
- Study design and conductcitation
The remote ion-ion state is characterized via quantum state tomography for all nine combinations of Pauli measurement bases.
“The remote ion-ion state is characterized via quantum state tomography, for which the sequence is repeated for all nine combinations of the Pauli measurement bases for 2 ion qubits [52].”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [52] 52. D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Measurement of qubits, Phys. Rev. A 64, 052312 (2001). source
Section B, “Multiple beam Stokes parameters: multiple qubit tomography” (p. 4), supports tomography of two-qubit states and relates its measurement operators to Pauli operators. It describes a set of 16 measurements, however, not a sequence repeated for nine combinations of Pauli bases. The Introduction (p. 2) says its experiments use photon-polarization qubits, so it does not document the remote ion-ion procedure. (LLM, conf=0.85)
Experimental — accuracy not yet measured
- Interpretationcitation
The probability for dephasing in the channel is parametrized by the HOM interference visibility.
“The probability for dephasing in the channel is parametrized by the Hong-Ou-Mandel (HOM) interference visibility, which provides direct information about photon indistinguishability [58].”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [58] 58. G. Vittorini, D. Hucul, I. V. Inlek, C. Crocker, and C. Monroe, Entanglement of distinguishable quantum memo- ries, Phys. Rev. A 90, 040302(R) (2014). source
The discussion on p. 1 links photon distinguishability and detection timing to decoherence, and p. 3 discusses fidelity loss from time-dependent phase shifts. Neither passage parametrizes a channel’s dephasing probability by Hong–Ou–Mandel interference visibility. Searches for HOM visibility and interference visibility found no passage establishing that relationship. (LLM, conf=0.72)
Experimental — accuracy not yet measured
- Interpretationcitation
The success probabilities shown in Fig. 2(b) are comparable to those achieved over a few meters in Ref. [10].
“It is notable that the success probabilities shown in Fig. 2(b) are comparable to those achieved over a few meters in Ref. [10]”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites [10] 10. L. J. Stephenson, D. P. Nadlinger, B. C. Nichol, S. An, P. Drmota, T. G. Ballance, K. Thirumalai, J. F. Goodwin, D. M. Lucas, and C. J. Ballance, High-Rate, High-Fidelity Entanglement of Qubits Across an Elementary Quantum Network, Phys. Rev. Lett. 124, 110501 (2020). source
- Premisecitation
Efficient, low-noise and entanglement-preserving telecom wavelength conversion of the 854 nm photons used in the present Letter has been achieved.
“Furthermore, efficient, low-noise and entanglement-preserving telecom wavelength conversion of the 854 nm photons used in the present Letter has been achieved [25,26]”
Quote in the paperSubstantial claim2 of 2 sources checked- cites [25] 25. M. Bock, P. Eich, S. Kucera, M. Kreis, A. Lenhard, C. Becher, and J. Eschner, High-fidelity entanglement between a trapped ion and a telecom photon via quantum frequency conversion, Nat. Commun. 9, 1998 (2018). source
- cites [26] 26. V. Krutyanskiy, M. Meraner, J. Schupp, V. Krcmarsky, H. Hainzer, and B. P. Lanyon, Light-matter entanglement over 50 km of optical fibre, npj Quantum Inf. 5, 72 (2019). source
- Findingnone given
At each network node, the electronic state of an ion is entangled with the polarization state of a single cavity photon.
“At each network node, the electronic state of an ion is entangled with the polarization state of a single cavity photon”
Quote in the paperSubstantial claim
- Findingown data
Two atomic ions separated by 230 m were entangled in an elementary quantum network.
“We report on an elementary quantum network of two atomic ions separated by 230 m.”
- Also stated in: § Abstract · plain
“In this Letter, we report on the entanglement of two trapped ions separated by 230 m.”
- Also stated in: § Abstract · boosted
“we have verified entanglement over the longest trapped-ion network to date”
Quote in the paperSubstantial claim- Rests on an assumption: Remote entanglement of trapped ions more than a few meters apart had not previously been reported.
- Also stated in: § Abstract · plain
- Findingnone given
Subsequent to interference of the photons at a beam splitter, photon detection heralds entanglement between the two ions.
“subsequent to interference of the photons at a beam splitter, photon detection heralds entanglement between the two ions.”
Quote in the paperSubstantial claim - Findingown data
The HOM dip at τ = 0 can be clearly observed.
“The HOM dip at τ ¼ 0 can be clearly observed.”
Quote in the paperSubstantial claim - Findingown data
The success probability for two-photon coincidence per attempt is 0.033% for the interval [5.5 μs, 23 μs].
“resulting in 4470 coincidence events within the interval ½t ¼ 5.5 μs; t ¼ 23 μs [Fig.2(a)], corresponding to a 0.033% probability of two-photon coincidence per attempt, which we define as the success probability.”
Quote in the paperNot a substantial claim - Findingown data
4470 coincidence events within the interval [5.5 μs, 23 μs] were recorded.
“resulting in 4470 coincidence events within the interval ½t ¼ 5.5 μs; t ¼ 23 μs [Fig.2(a)]”
Quote in the paperNot a substantial claim - Findingreasoning
A decrease in fidelity as T increases is observed.
“In Fig. 2(d), we plot the measured fidelities for values of T between 0.75 μs and 17.5 μs.”
- Also stated in: § Abstract · hedged
“A decrease in fidelity as T increases is to be expected”
Quote in the paperNot a substantial claim - Also stated in: § Abstract · hedged
- Findingown data
The maximum two-photon interference visibility is 101(6)% for T = 0.25 μs.
“The maximum visibility corresponds to 101(6)% for T ¼ 0.25 μs; this value is above 100% because the background-corrected value for N k;kδ is negative, while consistent with zero within 1 standard deviation.”
Quote in the paperNot a substantial claim - Findingown data
The master-equation model is consistent with the visibility data.
“It can be seen that the model is consistent with the visibility data.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Findingown data
The remote entanglement rate during the data acquisition time is 0.49 s^-1.
“The remote entanglement rate during the data acquisition time is thus 0.49 s -1 .”
Quote in the paperNot a substantial claim - Findingown data
When a subset of data corresponding to coincidences separated by smaller values of T is taken, entangled ion-ion states are generated with higher fidelity, at the cost of a lower success probability.
“When we take a subset of the data corresponding to coincidences separated by smaller values of T, entangled ion-ion states are generated with higher fidelity, at the cost of a lower success probability [Fig.2(b)].”
Quote in the paperNot a substantial claim - Findingown data
Setting the technical noise contributions of cavity jitter and laser phase noise to zero improves the model visibility.
“Setting the technical noise contributions of cavity jitter and laser phase noise to zero, as shown in orange in Fig. 3(b), improves the model visibility.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Interpretationcitation
The empirical model for the ion-ion density matrix contains photon distinguishability along with two other sources of infidelity: detector background counts and imperfect ion-photon entanglement.
“The model contains photon distinguishability [56] along with two other sources of infidelity: detector background counts and imperfect ion-photon entanglement.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [56] 56. If photon distinguishability is due to a known frequency difference, it does not have to reduce entanglement fide- lity
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Interpretationcitation
The remaining visibility imperfections are due to mismatch between the temporal wave packets of the transform-limited photons produced at each node.
“The remaining visibility imperfections are due to mismatch between the temporal wave packets of the transform-limited photons produced at each node (see the Supplemental Material [40]).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [40] 40. See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.130.050803 for details on the synchronization and stabilization procedures between the two nodes, a full description of our density-matrix model, an independent characterization of the noise sources, and the calculation of interference visibility, including Refs. [41-51].
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Interpretationown data
The observed decline in fidelity as a function of T is due to the corresponding decline in visibility.
“and that the observed decline in fidelity as a function of T is due to the corresponding decline in visibility.”
Quote in the paperSubstantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Interpretationreasoning
Different values are predicted for F+ and F- due to the use of superconducting nanowire detectors at two of the four beam splitter outputs, which have lower dark-count rates than the single-photon-counting modules at the other two outputs.
“Different values are predicted for F þ and F -due to the use of superconducting nanowire detectors at two of the four beam splitter outputs, which have lower dark-count rates than the single-photon-counting modules at the other two outputs.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Interpretationcitation
To account for photon distinguishability, a 2-qubit dephasing channel is employed, which reduces the off-diagonal elements of the ideal density matrices.
“To account for photon distinguishability, we employ a 2-qubit dephasing channel, which reduces the off diagonal elements of the ideal density matrices jΨ Æ ihΨ Æ j (see the Supplemental Material [40]).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [40] 40. See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.130.050803 for details on the synchronization and stabilization procedures between the two nodes, a full description of our density-matrix model, an independent characterization of the noise sources, and the calculation of interference visibility, including Refs. [41-51].
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationown data
Based on agreement between measured and modeled fidelities, the empirical model captures the relevant properties of the setup.
“Based on the agreement between measured and modeled fidelities in Fig. 2(d), we conclude that the model captures the relevant properties of our setup”
Quote in the paperSubstantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Interpretationown data
The master-equation model considers three independently estimated noise processes that result in non-transform-limited photons at each node: frequency jitter of the Node A cavity by 60-100 kHz, Raman-laser phase noise, and spontaneous emission.
“This model considers three independently estimated noise processes that result in non-transform-limited (and therefore distinguishable) photons at each node: frequency jitter of the Node A cavity by 60-100 kHz, Raman-laser phase noise, and spontaneous emission.”
Quote in the paperSubstantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- Study design and conductnone given
Temporal synchronization of the two sequences to within a 30 ns jitter is achieved via a handshake between the control systems at the start of each sequence.
“Temporal synchronization of the two sequences to within a 30 ns jitter is achieved via a handshake between the control systems at the start of each sequence.”
Quote in the paperSubstantial claim - Interpretationreasoning
It is spontaneous emission that poses the most significant challenge.
“It is spontaneous emission that poses the most significant challenge.”
Quote in the paperSubstantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
- May combine two claims. 12
- Classified as probably not a substantial claim. 8
May combine two claims.
PremisecitationThe photon generation method based on a cavity-mediated Raman process provides tunable entangled states and high efficiency, which are advantageous for establishing long-distance entanglement.
“our photon generation method is based on a cavity-mediated Raman process providing tunable entangled states [34] and high efficiency [35], which are advantageous for establishing long-distance entanglement [36].”
Quote in the paperSubstantial claim3 of 3 sources checked- cites [34] 34. A. Stute, B. Casabone, P. Schindler, T. Monz, P. O. Schmidt, B. Brandstätter, T. E. Northup, and R. Blatt, Tunable ion- photon entanglement in an optical cavity, Nature (London) 485, 482 (2012). source
- cites [35] 35. J. Schupp, V. Krcmarsky, V. Krutyanskiy, M. Meraner, T. Northup, and B. Lanyon, Interface between trapped-ion qubits and traveling photons with close-to-optimal effi- ciency, PRX Quantum 2, 020331 (2021). source
- cites [36] 36. N. Sangouard, R. Dubessy, and C. Simon, Quantum repeaters based on single trapped ions, Phys. Rev. A 79, 042340 (2009). source
Classified as probably not a substantial claim. May combine two claims.
PremisecitationThe trapped-ion platform has the capability for quantum-information processing with dozens of addressed qubits in a single trap and fidelities sufficient for fault-tolerant gate operations and error correction.
“a particular strength of the trapped-ion platform is the capability for quantuminformation processing with dozens of addressed qubits in a single trap [22,23] and fidelities sufficient for faulttolerant gate operations and error correction [62,63].”
Quote in the paperSubstantial claim2 of 4 sources checked- cites [22] 22. C. D. Bruzewicz, J. Chiaverini, R. McConnell, and J. M. Sage, Trapped-ion quantum computing: Progress and chal- lenges, Appl. Phys. Rev. 6, 021314 (2019). source
The introduction (p. 2) says trapped-ion gates, preparation, and readout have achieved fidelities above those required by high-threshold fault-tolerant error-correction codes. But the DiVincenzo Criteria section (p. 3) reports only 20 ions in the largest fully controlled register, while Pros and Cons (p. 4) says larger chains with meaningful control and readout had not demonstrated entanglement between arbitrary ions. The copy therefore does not establish quantum-information processing with dozens of individually addressed qubits in one trap. (LLM, conf=0.86)
Experimental — accuracy not yet measured - cites [23] 23. N. Friis, O. Marty, C. Maier, C. Hempel, M. Holzäpfel, P. Jurcevic, M. B. Plenio, M. Huber, C. Roos, R. Blatt, and B. Lanyon, Observation of Entangled States of a Fully Controlled 20-Qubit System, Phys. Rev. X 8, 021012 (2018). source
- cites [62] 62. P. Kobel, M. Breyer, and M. Köhl, Deterministic spin- photon entanglement from a trapped ion in a fiber Fabry- Perot cavity, npj Quantum Inf. 7, 6 (2021). source
- cites [63] 63. C. Ryan-Anderson, J. G. Bohnet, K. Lee, D. Gresh, A. Hankin, J. P. Gaebler, D. Francois, A. Chernoguzov, D. Lucchetti, N. C. Brown, T. M. Gatterman, S. K. Halit, K. Gilmore, J. A. Gerber, B. Neyenhuis, D. Hayes, and R. P. Stutz, Realization of Real-Time Fault-Tolerant Quantum Error Correction, Phys. Rev. X 11, 041058 (2021). source
Classified as probably not a substantial claim. May combine two claims.
PremisecitationThis capability provides a route to robust logical qubit encodings at network nodes, separate communication and information processing functionalities within each node, and quantum repeaters requiring Bell state measurements and either purification or error correction.
“This capability provides a route to robust logical qubit encodings at network nodes [64], separate communication and information processing functionalities within each node [5,21], and quantum repeaters requiring Bell state measurements and either purification or error correction [65].”
Quote in the paperSubstantial claim2 of 4 sources checked- cites [64] 64. L. Postler, S. Heußen, I. Pogorelov, M. Rispler, T. Feldker, M. Meth, C. D. Marciniak, R. Stricker, M. Ringbauer, R. Blatt, P. Schindler, M. Müller, and T. Monz, Demonstration of fault-tolerant universal quantum gate operations, Nature (London) 605, 675 (2022). source
Split into 3 atoms — 0 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 2 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measured - cites [5] 5. C. Monroe, R. Raussendorf, A. Ruthven, K. R. Brown, P. Maunz, L.-M. Duan, and J. Kim, Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects, Phys. Rev. A 89, 022317 (2014). source
Split into 3 atoms — 2 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measured - cites [21] 21. L.-M. Duan and C. Monroe, Colloquium: Quantum networks with trapped ions, Rev. Mod. Phys. 82, 1209 (2010). source
- cites [65] 65. M. Zwerger, B. P. Lanyon, T. E. Northup, C. A. Muschik, W. Dür, and N. Sangouard, Quantum repeaters based on trapped ions with decoherence-free subspace encoding, Quantum Sci. Technol. 2, 044001 (2017). source
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationIn future long-distance networks limited by photon travel time, success probabilities will determine entanglement rates.
“in future long-distance networks limited by photon travel time, it will be success probabilities that determine entanglement rates [36].”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites [36] 36. N. Sangouard, R. Dubessy, and C. Simon, Quantum repeaters based on single trapped ions, Phys. Rev. A 79, 042340 (2009). source
May combine two claims.
Findingown dataFidelities of up to (88.0 +2.2 -4.7)% are achieved with respect to a maximally entangled Bell state, with a success probability of 4 × 10^-5.
“Fidelities of up to ð88.0 þ 2.2 -4.7Þ% are achieved with respect to a maximally entangled Bell state, with a success probability of 4 × 10 -5 .”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataIn total, 13 656 928 attempts were made to generate remote entanglement.
“In total, 13 656 928 attempts were made to generate remote entanglement”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
FindingreasoningWe optimize F ± over the phase φ, yielding φ = 82.2°.
“We optimize F Æ over the phase ϕ in Eq. ( 1) because we did not determine θ A and θ B independently; this optimization yields ϕ ¼ 82.2°.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe fidelities of the reconstructed states at T = 17.5 μs are F+ = (58.7 +1.7 -2.1)% and F- = (58.0 +2.0 -2.9)%.
“The fidelities of the reconstructed states are F þ ð17.5 μsÞ ¼ ð58.7 þ 1.7 -2.1Þ% and F -ð17.5 μsÞ ¼ ð58.0þ2.0-2.9Þ%”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe fidelities of the reconstructed states at T = 1 μs are F+ = (88.0 +2.2 -4.7)% and F- = (83.3 +3.3 -6.4)%.
“The fidelities of the reconstructed states are F þ ð1 μsÞ ¼ ð88.0 þ 2.2 -4.7Þ% and F -ð1 μsÞ ¼ ð83.3 þ 3.3 -6.4Þ%.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataFor T = 1 μs, 555 coincidence events were recorded, corresponding to a remote entanglement rate of 3.5 min^-1.
“The density matrices shown in Fig. 2(c) correspond to T ¼ 1 μs, for which we recorded 555 coincidence events, that is, a remote entanglement rate of 3.5 min -1 .”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataIon-photon entanglement fidelities at Nodes A and B are (92.9 +0.4 -0.5)% and (95.5 +0.6 -0.9)%, respectively.
“Ion-photon entanglement was characterized in a calibration measurement at each node via quantum state tomography immediately prior to ion-ion entanglement, and fidelities of ð92.9 þ 0.4 -0.5Þ% and ð95.5 þ 0.6 -0.9Þ% with respect to a maximally entangled state were obtained at Nodes A and B, respectively.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataA detailed model is developed that captures the observed trade-off between the fidelity of remote entanglement and the heralding efficiency and shows how significant improvements can be made in the future.
“A detailed model is developed that captures the observed trade-off between the fidelity of remote entanglement and the heralding efficiency and shows how significant improvements can be made in the future.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Interpretationown dataThe empirical model is used to calculate theoretical fidelities, taking into account all three sources of infidelity.
“The solid lines are calculated from the full model, taking into account all three sources of infidelity, while the dashed lines are calculated when photon distinguishability is excluded from the model.”
Quote in the paperSubstantial claim- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
May combine two claims.
Study design and conductown dataSpectral indistinguishability of the photons requires matching the resonant frequencies of the remote cavities, achieved via periodic calibration at 20 min intervals.
“Spectral indistinguishability of the photons requires matching the resonant frequencies of the remote cavities.This is achieved via periodic calibration at 20 min intervals: 854 nm laser light that is resonant with the cavity at Node A is sent to Node B over a third fiber in the bundle, and the length of the Node B cavity is adjusted until it is resonant with this light.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationcitationSpontaneous emission during the Raman process provides information on which ion generated which cavity photon, introducing which-path information.
“For example, spontaneous emission during the Raman process provides information on which ion generated which cavity photon [53][54][55], that is, scattering introduces which-path information.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [53][54][55]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Study design and conductown dataAll parameter values used in the master-equation model are statistically consistent with independent estimates and determined via comparison of the model to measured single-photon wave packets.
“All parameter values used in the model are statistically consistent with independent estimates and determined via comparison of the model to measured single-photon wave packets (see the Supplemental Material [40]).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [40] 40. See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.130.050803 for details on the synchronization and stabilization procedures between the two nodes, a full description of our density-matrix model, an independent characterization of the noise sources, and the calculation of interference visibility, including Refs. [41-51].
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- The authors state this as an assumption: For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
Classified as probably not a substantial claim.
Study design and conductcitationUncertainties for F ± (T) and for all quantities derived from the density matrices are obtained via Monte Carlo resampling.
“Uncertainties for F Æ ðTÞ and for all quantities derived from the density matrices are obtained via Monte Carlo resampling (see the Supplemental Material [40]).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [40] 40. See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.130.050803 for details on the synchronization and stabilization procedures between the two nodes, a full description of our density-matrix model, an independent characterization of the noise sources, and the calculation of interference visibility, including Refs. [41-51].
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim.
Study design and conductcitationThe polarization rotation of the fiber that carries single photons is characterized and corrected for at 20 min intervals.
“Also at 20 min intervals, the polarization rotation of the fiber that carries single photons is characterized and corrected for (see the Supplemental Material [40]).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [40] 40. See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.130.050803 for details on the synchronization and stabilization procedures between the two nodes, a full description of our density-matrix model, an independent characterization of the noise sources, and the calculation of interference visibility, including Refs. [41-51].
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
The paper relies on this without support.
Remote entanglement of trapped ions more than a few meters apart had not previously been reported.
“Remote entanglement of trapped ions more than a few meters apart has not previously been reported.”
The authors state this as an assumption.
For ion-photon entanglement, imperfections translate as a 2-qubit depolarizing channel on the ion-ion state.
“For ion-photon entanglement, we assume that imperfections translate as a 2-qubit depolarizing channel on the ionion state (see the Supplemental Material [40]).”
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Entanglement of nanophotonic quantum memory nodes in a telecom network
Knaut, C. M., Suleymanzade, A., Wei, Y.-C., Assumpção, D., Stas, P.-J., Huan, Y. Q., Machielse, B., Knall, E., Sutula, M., Baranes, G., et al. (2024) · Nature · doi:10.1038/s41586-024-07252-z · Cited by 314 · see citing works
“By integrating efficient bidirectional quantum frequency conversion of photonic communication qubits to telecommunication frequencies (1,350 nm), we demonstrate the entanglement of two nuclear spin memories through 40 km spools of low-loss fibre and a 35-km long fibre loop deployed in the Boston…”
Progress in quantum teleportation
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Quantum networks with neutral atom processing nodes
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Review of Distributed Quantum Computing: From single QPU to High Performance Quantum Computing
Barral, D., Cardama, F. J., Díaz-Camacho, G., Faílde, D., Llovo, I. F., Juane, M. M., Vázquez-Pérez, J., Villasuso, J., Piñeiro, C., Costas, N., et al. (2025) · Computer Science Review · doi:10.1016/j.cosrev.2025.100747 · Cited by 128 · see citing works
“After the subsequent BSM, fidelities to Bell states of up to 88% at 230 m have been demonstrated in trapped-ions [123], and deterministic qubit state transfer between different NV-center nodes has also been shown [78].”
Telecom-Wavelength Quantum Repeater Node Based on a Trapped-Ion Processor
Krutyanskiy, V. L., Canteri, M., Meraner, M., Bate, J., Krcmarsky, V., Schupp, J., Sangouard, N., & Lanyon, B. P. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.213601 · Cited by 109 · see citing works
“Two remote trapped ions have previously been entangled over a few meters [11,14,22,23] and, using the ion-cavity system of this work, over 230 m [24].”
BackgroundMethodSelf-citationMetropolitan-scale heralded entanglement of solid-state qubits
Stolk, A., van der Enden, K. L., Roehsner, M.-C., Raa, I. T., Botma, P., van Rantwijk, J., Biemond, J. J. B., Hagen, R., Herfst, R. W., Koek, W. D., et al. (2024) · Science Advances · doi:10.1126/sciadv.adp6442 · Cited by 112 · see citing works
“Over the past decades a range of experiments on different qubit platforms have demonstrated the rudimentary capabilities of quantum networks at short distances including photon-mediated entan-glement generation [7–13].”
BackgroundQuantum optical memory for entanglement distribution
Lei, Y., Asadi, F. K., Zhong, T., Kuzmich, A., Simon, C., & Hosseini, M. (2023) · Optica · doi:10.1364/optica.493732 · Cited by 98 · see citing works
“), e: [129], f: [174], g: [175], h: [176], i: [177] and j: [178].”
BackgroundTelecom Networking with a Diamond Quantum Memory
Bersin, E. A., Sutula, M., Huan, Y. Q., Suleymanzade, A., Assumpção, D., Wei, Y.-C., Stas, P.-J., Knaut, C. M., Knall, E., Langrock, C., et al. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.010303 · Cited by 86 · see citing works
“This approach also allows for interfacing SiVs with other quantum information platforms such as neutral atoms [40], trapped ions [12, 41], or other color centers in diamond [42, 43], where performing frequency conversion to a common wavelength would facilitate photonic-mediated entanglement…”
BackgroundRobust Quantum Memory in a Trapped-Ion Quantum Network Node
Drmota, P., Main, D., Nadlinger, D. P., Nichol, B. C., Weber, M., Ainley, E. M., Agrawal, A., Srinivas, R., Araneda, G., Ballance, C. J., et al. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.090803 · Cited by 82 · see citing works
Multiplexed entanglement of multi-emitter quantum network nodes
Ruskuc, A., Wu, C.-J., Green, E., Hermans, S., Pajak, W., Choi, J., & Faraon, A. (2025) · Nature · doi:10.1038/s41586-024-08537-z · Cited by 78 · see citing works
Remote-Entanglement Protocols for Stationary Qubits with Photonic Interfaces
Beukers, H. K. C., Pasini, M., Choi, H., Englund, D., Hanson, R., & Borregaard, J. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.010202 · Cited by 66 · see citing works
Nonlocal photonic quantum gates over 7.0 km
Liu, X., Hu, X.-M., Zhu, T.-X., Zhang, C., Xiao, Y., Miao, J.-L., Ou, Z.-W., Li, P.-Y., Liu, B., Zhou, Z., et al. (2024) · Nature Communications · doi:10.1038/s41467-024-52912-3 · Cited by 59 · see citing works
“The accuracy of the phase estimation algorithm increases with the number of measurement registers.”
BackgroundMalinowski, M., Allcock, D. T. C., & Ballance, C. J. (2023) · PRX Quantum · doi:10.1103/prxquantum.4.040313 · Cited by 54 · see citing works
High-Rate and High-Fidelity Modular Interconnects between Neutral Atom Quantum Processors
Li, Y., & Thompson, J. D. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.020363 · Cited by 56 · see citing works
“This rate is orders of magnitude higher than previously demonstrated [16, 18, 20, 22] or proposed [32, 33] remote entanglement approaches for atomic qubits.”
ResultState-of-the-art analysis of quantum cryptography: applications and future prospects
Sahu, S. K., & Mazumdar, K. (2024) · Frontiers in Physics · doi:10.3389/fphy.2024.1456491 · Cited by 62 · see citing works
High-fidelity remote entanglement of trapped atoms mediated by time-bin photons
Saha, S., Shalaev, M. I., O'Reilly, J. P., Goetting, I., Toh, G., Kalakuntla, A., Yu, Y., & Monroe, C. R. (2025) · Nature Communications · doi:10.1038/s41467-025-57557-4 · Cited by 46 · see citing works
Multimode Ion-Photon Entanglement over 101 Kilometers
Krutyanskiy, V. L., Canteri, M., Meraner, M., Krcmarsky, V., & Lanyon, B. P. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.020308 · Cited by 44 · see citing works
Self-citationDemonstration of quantum network protocols over a 14-km urban fiber link
Kucera, S., Haen, C., Arenskötter, E., Bauer, T., Meiers, J., Schäfer, M., Boland, R., Yahyapour, M., Lessing, M., Holzwarth, R., et al. (2024) · npj Quantum Information · doi:10.1038/s41534-024-00886-x · Cited by 39 · see citing works
“Demonstra-tions on laboratory scales have used memories based on single ions [26], single atoms [27, 28], solid-state qubits [29, 30], or atomic ensembles [31, 32].”
BackgroundLong-Lived Quantum Memory Enabling Atom-Photon Entanglement over 101 km of Telecom Fiber
Zhou, Y., Malik, P., Fertig, F., Bock, M., Bauer, T., van Leent, T., Zhang, W., Becher, C., & Weinfurter, H. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.020307 · Cited by 33 · see citing works
A thin film lithium niobate near-infrared platform for multiplexing quantum nodes
Assumpção, D., Renaud, D. L., Baradari, A., Zeng, B., De-Eknamkul, C., Xin, C. J., Shams‐Ansari, A., Barton, D. R., Machielse, B., & Lončar, M. (2024) · Nature Communications · doi:10.1038/s41467-024-54541-2 · Cited by 34 · see citing works
Requirements for a processing-node quantum repeater on a real-world fiber grid
Avis, G., da Silva, F. F., Coopmans, T. J., Dahlberg, A., Jirovská, H., Maier, D., Rabbie, J., Torres‐Knoop, A., & Wehner, S. (2023) · npj Quantum Information · doi:10.1038/s41534-023-00765-x · Cited by 30 · see citing works
An operating system for executing applications on quantum network nodes
Donne, C. D., Iuliano, M., van der Vecht, B., Ferreira, G. M., Jirovská, H., van der Steenhoven, T., Dahlberg, A., Skrzypczyk, M., Fioretto, D., Teller, M., et al. (2025) · Nature · doi:10.1038/s41586-025-08704-w · Cited by 38 · see citing works
“I think the assumption of the TDMA MAC, with a centralized network controller, is one of the most critical assumptions and a potential barrier to future adoption.”
Self-citationFast Photon-Mediated Entanglement of Continuously Cooled Trapped Ions for Quantum Networking
O'Reilly, J. P., Toh, G., Goetting, I., Saha, S., Shalaev, M. I., Carter, A. L., Risinger, A., Kalakuntla, A., Li, T., Verma, A., et al. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.090802 · Cited by 31 · see citing works
Efficient cavity-assisted storage of photonic qubits in a solid-state quantum memory
Duranti, S., Wengerowsky, S., Feldmann, L., Seri, A., Casabone, B., & de Riedmatten, H. (2024) · Optics Express · doi:10.1364/oe.512318 · Cited by 30 · see citing works
“Single quantum systems such as single atoms [17,18], vacancy centers in diamonds [19–21] and single trapped ions [22–25] have also been used as quantum memories.”
BackgroundNonreciprocal entanglement in cavity magnomechanics via the Barnett effect
Lu, T.-X., Li, Z.-S., Chen, L.-S., Wang, Y., Xiao, X. M., & Jing, H. (2025) · Physical Review A · doi:10.1103/physreva.111.013713 · Cited by 28 · see citing works
Transmission of light–matter entanglement over a metropolitan network
Rakonjac, J. V., Grandi, S., Wengerowsky, S., Lago-Rivera, D., Appas, F., & de Riedmatten, H. (2023) · Optica Quantum · doi:10.1364/opticaq.501048 · Cited by 26 · see citing works
Fault-tolerant optical interconnects for neutral-atom arrays
Sinclair, J., Ramette, J., Grinkemeyer, B., Bluvstein, D., Lukin, M. D., & Vuletić, V. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013313 · Cited by 28 · see citing works
Directional quantum-squeezing-enabled nonreciprocal enhancement of entanglement
Lu, T.-X., Li, B., Wang, Y., Wang, D., Xiao, X. M., & Jing, H. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.22.064001 · Cited by 25 · see citing works
Site-Selective Cavity Readout and Classical Error Correction of a 5-Bit Atomic Register
Hu, B., Sinclair, J., Bytyqi, E., Chong, M., Rudelis, A., Ramette, J., Vendeiro, Z., & Vuletić, V. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.120801 · Cited by 24 · see citing works
Distribution of telecom entangled photons through a 7.7 km antiresonant hollow-core fiber
Antesberger, M., Richter, C. M. D., Poletti, F., Slavı́k, R., Petropoulos, P., Hübel, H., Trenti, A., Walther, P. J., & Rozema, L. A. (2024) · Optica Quantum · doi:10.1364/opticaq.514257 · Cited by 21 · see citing works
“Although this is significantly shorter than the record for entanglement distribution in SMF of 248 km [28], the potential for AR-HCFs to achieve lower propagation loss than SMF [18] could allow quantum communications in AR-HCF to surpass this limit in the near future.”
BackgroundSchwerdt, D., Peleg, L., Shapira, Y., Priel, N., Florshaim, Y., Gross, A., Zalic, A., Afek, G., Akerman, N., Stern, A., et al. (2024) · Physical Review X · doi:10.1103/physrevx.14.041017 · Cited by 23 · see citing works
“An alternative scale-up approach is using photonic-interconnects in order to link small-scale ion-crystals [18–20].”
MethodTelecom quantum photonic interface for a 40Ca+ single-ion quantum memory
Arenskötter, E., Bauer, T., Kucera, S., Bock, M., Eschner, J., & Becher, C. (2023) · npj Quantum Information · doi:10.1038/s41534-023-00701-z · Cited by 21 · see citing works
Zhang, G.-Q., Feng, W., Xiong, W., Xu, D., Su, Q.-P., & Yang, C. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.20.044014 · Cited by 21 · see citing works
“However, in practical applications, it is vital to entangle distant nodes in a quantum network [26–36].”
BackgroundFully Packaged Multichannel Cryogenic Quantum Memory Module
Starling, D. J., Shtyrkova, K., Christen, I., Murphy, R. P., Li, L., Chen, K. C., Kharas, D., Zhang, X., Cummings, J., Nowak, W. J., et al. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.19.064028 · Cited by 19 · see citing works
Generation of entangled waveguided photon pairs by free electrons
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“Entangled photon pairs are routinely generated through spontaneous parametric down-conversion, a second-order nonlinear process that conserves both the photon polarization and momentum [7–10].”
Entangling quantum memories via heralded photonic Bell measurement
Dhara, P., Englund, D. R., & Guha, S. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.033149 · Cited by 20 · see citing works
Low-Noise Quantum Frequency Conversion of Photons from a Trapped Barium Ion to the Telecom O-band
Saha, U., Siverns, J., Hannegan, J., Quraishi, Q. S., & Waks, E. (2023) · ACS Photonics · doi:10.1021/acsphotonics.3c00581 · Cited by 18 · see citing works
Efficiency optimization in quantum computing: balancing thermodynamics and computational performance
Śmierzchalski, T., Mzaouali, Z., Deffner, S., & Gardas, B. (2024) · Scientific Reports · doi:10.1038/s41598-024-55314-z · Cited by 15 · see citing works
Challenges and opportunities for quantum information hardware
Awschalom, D. D., Bernien, H., Hanson, R., Oliver, W. D., & Jelena Vuckovic, A. (2025) · Science · doi:10.1126/science.adz8659 · Cited by 19 · see citing works
Integrated photonic structures for photon-mediated entanglement of trapped ions
Knollmann, F., Clements, E., Callahan, P. T., Gehl, M. R., Hunker, J. D., Mahony, T., McConnell, R., Swint, R. B., Sorace-Agaskar, C. M., Chuang, I. L., et al. (2024) · Optica Quantum · doi:10.1364/opticaq.522128 · Cited by 19 · see citing works
“Here we assume that a partial Bell-state analyzer is used for the polarization and frequency protocols. rection code employed for entanglement distillation [26].”
BackgroundMethodInfluentialQuantum Internet: Technologies, Protocols, and Research Challenges
Kumar, V., Cicconetti, C., Conti, M., & Passarella, A. (2025) · The International journal of networked and distributed computing · doi:10.1007/s44227-025-00060-5 · Cited by 22 · see citing works
Zhang, S. F., Shi, J., Liang, Y., Sun, Y., Wu, Y., Duan, L.-M., & Pu, Y. (2024) · Nature Communications · doi:10.1038/s41467-024-54691-3 · Cited by 17 · see citing works
“Meanwhile a new result appeared (arXiv:2406.09480v1), it may be interesting how this compares.”
Self-citationDevice-independent quantum key distribution over 100 km with single atoms
Lu, B.-W., Yang, C.-W., Wang, R.-Q., Gao, B., Zhen, Y.-Z., Wang, Z., Shi, J.-K., Ren, Z.-Q., Hahn, T., Tan, E. Y.-Z., et al. (2026) · Science · doi:10.1126/science.aec6243 · Cited by 16 · see citing works
“Stars: this work (labels indicate the optimized excitation probability α at each L ); points: prior demonstrations (individual atoms [8, 12], NV/SIV centers [14, 15, 33], trapped ions [21], atomic ensembles [13]).”
(2025) · doi:10.1103/wvv1-6lg8 · Cited by 12 · see citing works
“…of spatially separated atomic systems has already been performed in a variety of physical systems including single neutral atoms and ions [9–11], color centers in the solid-state [12– 14] or cold atomic clouds [15, 16] but their multiplexing capabilities have so far remained limited,…”
Self-citationGranados, G., Velásquez, W., Cajo, R., et al. (2025) · IEEE Access · doi:10.1109/access.2025.3577086 · Cited by 12 · see citing works
“QKD [22], [23], [24], [25], [26], [27] emerges as a promising solution to address these issues, employing quantum mechanical principles to deliver theoretically unbreakable security.”
Quantum cryptography integrating an optical quantum memory
Mamann, H., Nieddu, T., Hoffet, F., Bozzio, M., de Loubresse, F. G., Kerenidis, I., Diamanti, E., Urvoy, A., & Laurat, J. (2025) · Science Advances · doi:10.1126/sciadv.adx3223 · Cited by 12 · see citing works
Tools for the Analysis of Quantum Protocols Requiring State Generation Within a Time Window
Davies, B., Beauchamp, T., Vardoyan, G., & Wehner, S. (2024) · IEEE Transactions on Quantum Engineering · doi:10.1109/tqe.2024.3358674 · Cited by 11 · see citing works
“A prime example is heralded entanglement generation, which is commonly used in present-day quantum networks (see, e.g., [5], [6], [7], [8], [9], and [10]).”
BackgroundPhoton-Interfaced Ten-Qubit Register of Trapped Ions
Canteri, M., Koong, Z. X., Bate, J., Winkler, A., Krutyanskiy, V. L., & Lanyon, B. P. (2025) · Physical Review Letters · doi:10.1103/v5k1-whwz · Cited by 16 · see citing works
Self-citationHigh-purity single-photon generation based on cavity QED
Kikura, S., Asaoka, R., Koashi, M., & Tokunaga, Y. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013251 · Cited by 10 · see citing works
“In fact, several recent experiments have reported that the re-excitation significantly deteriorates the Hong-Ou-Mandel interference visibility [17, 18, 23].”
BackgroundHybrid classical-quantum communication networks
Lukens, J. M., Peters, N. A., & Qi, B. (2025) · Progress in Quantum Electronics · doi:10.1016/j.pquantelec.2025.100586 · Cited by 16 · see citing works
Realization of a Crosstalk-Free Two-Ion Node for Long-Distance Quantum Networking
Lai, P.-C., Wang, Y., Shi, J.-X., Cui, Z.-B., Wang, Z.-Q., Zhang, S. F., Liu, P.-Y., Tian, Z., Sun, Y.-D., Chang, X.-Y., et al. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.070801 · Cited by 10 · see citing works
“We believe that the enhancements through a cavity [18, 21, 27, 38, 42, 52] or via multiplexing [6, 22, 53–57] are promising approaches towards this goal.”
Self-citationMultiplexed color centers in a silicon photonic cavity array
Komza, L., Zhang, X., Song, H., Tang, Y., Wei, X., & Sipahigil, A. (2025) · Optica · doi:10.1364/optica.564691 · Cited by 11 · see citing works
“Quantum systems with optical interfaces, such as trapped ions [5–7], neutral atoms [8, 9], and color centers [10–13], are natural building blocks for quantum networks due to the low propagation loss of photons over long distances.”
Liu, W., & Wei, H. (2025) · Physical Review Applied · doi:10.1103/physrevapplied.23.054075 · Cited by 10 · see citing works
“Long-distance quantum entanglement has been experimentally demonstrated in various systems [49–51], but the limited photon transmission rate restricts the efficiency of the multi-qubit long-distance entanglement generation.”
Enhancing tripartite photon-phonon-magnon entanglement by synergizing parametric amplifications
Wang, Y., Wu, J., Jiao, Y., Lu, T.-X., Zhang, H.-L., Jiang, L., Kuang, L., & Jing, H. (2025) · Physical Review A · doi:10.1103/physreva.111.013709 · Cited by 10 · see citing works
Third-order exceptional point in an ion–cavity system
(2023) · doi:10.1063/5.0168372 · Cited by 10 · see citing works
Quantum entanglement, teleportation, and randomness: Nobel Prize in Physics 2022
Fedorov, A. K., Kiktenko, E. O., Khabarova, K. Y., & Kolachevsky, N. (2023) · Physics-Uspekhi · doi:10.3367/ufnr.2023.06.039412 · Cited by 9 · see citing works
Requirements for upgrading trusted nodes to a repeater chain over 900 km of optical fiber
da Silva, F. F., Avis, G., Slater, J. A., & Wehner, S. (2024) · Quantum Science and Technology · doi:10.1088/2058-9565/ad7499 · Cited by 9 · see citing works
Rate-fidelity tradeoff in cavity-based remote entanglement generation
Tanji, K., Takahashi, H., Roga, W., & Takeoka, M. (2024) · Physical Review A · doi:10.1103/physreva.110.042405 · Cited by 8 · see citing works
Mode mixing and losses in misaligned microcavities
Hughes, W. J., Doherty, T. H., Blackmore, J. A., Horák, P., & Goodwin, J. F. (2023) · Optics Express · doi:10.1364/oe.496981 · Cited by 8 · see citing works
“These mirrors are typically highly spherical within the milling diameter [15] and continue to be used for leading experiments [6, 16].”
BackgroundProfile control of fiber-based micro-mirrors using adaptive laser shooting with in situ imaging
(2025) · doi:10.1364/oe.564341 · Cited by 7 · see citing works
“If combined with an improved fiber pre-shooting preparation procedure (Supplementary 3), our fiber mirror fabrication can be transformed to fully automated mass production, which is essential for quantum network applications such as quantum repeaters [50,51].”
Achar, S., Kundu, A., Ashok, C., & Sharma, A. (2024) · Frontiers in Quantum Science and Technology · doi:10.3389/frqst.2024.1438340 · Cited by 7 · see citing works
ANN-enhanced detection of multipartite entanglement in a three-qubit NMR quantum processor
Gulati, V., Siyanwal, S., Arvind, & Dorai, K. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04696-8 · Cited by 8 · see citing works
“In recent years, there has been a growing interest in experimental characterization of entanglement in various physical systems such as optics [9, 10], trapped ions [11, 12], cold atoms [13, 14], N-V Centers [15] and superconducting qubits [16].”
Integrated photon-pair source with monolithic piezoelectric frequency tunability
Brydges, T., Raja, A. S., Gelmini, A., Lihachev, G., Petitjean, A., Siddharth, A., Tian, H., Wang, R. N., Bhave, S., Zbinden, H., et al. (2022) · Physical Review A · doi:10.1103/physreva.107.052602 · Cited by 4 · see citing works
Wengerowsky, S., Duranti, S., Heller, L., & de Riedmatten, H. (2025) · Physical Review Applied · doi:10.1103/physrevapplied.23.024049 · Cited by 7 · see citing works
“Also, it shows the possibility of interfacing solid-state quantum repeater nodes with processing nodes like cold calcium ions which emit photons of durations similar to the longest photons we converted here [7].”
An on-demand Resource Allocation Algorithm for a Quantum Network Hub and its Performance Analysis
Gauthier, S., Vasantam, T., & Vardoyan, G. (2024) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce60285.2024.00204 · Cited by 7 · see citing works
Square Root Law for Covert Quantum Communication over Optical Channels
Anderson, E. J. D., Eyre, C. K., Dailey, I. M., Rozpędek, F., & Bash, B. A. (2024) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce60285.2024.00211 · Cited by 6 · see citing works
Wang, M., Jiao, H., Lu, J., Fan, W., Li, S., & Wang, H. (2025) · Optica · doi:10.1364/optica.539388 · Cited by 6 · see citing works
“In the past two decades, entanglement between two quantum memories has been demonstrated with atomic ensembles [13–25], individual atoms [26–29], ions [30– 32] and solid-state spins [33–35], respectively.”
BackgroundCavity-Enhanced Spin-Wave Solid-State Quantum Memory
Feldmann, L., Wengerowsky, S., Das, A., Duranti, S., Hänni, J., Grandi, S., & de Riedmatten, H. (2025) · Physical Review Letters · doi:10.1103/8l9k-12k2 · Cited by 7 · see citing works
A Multilevel Framework for Partitioning Quantum Circuits
Burt, F., Chen, K.-C., & Leung, K. K. (2026) · Quantum · doi:10.22331/q-2026-01-22-1984 · Cited by 9 · see citing works
Remote quantum networks based on quantum memories
Zhu, T.-X., Liu, X., Zhou, Z., & Li, C. (2025) · Nanophotonics · doi:10.1515/nanoph-2024-0487 · Cited by 6 · see citing works
“Nowadays, the distance was extended to 230 m with a 520-m optical-fiber link in 2023 (Figure 3(d)) [95].”
Stolk, A., Biemond, J. J. B., van der Enden, K. L., van Dooren, L., van Zwet, E. J., & Hanson, R. (2025) · Physical Review Applied · doi:10.1103/physrevapplied.23.014077 · Cited by 7 · see citing works
Optimization of quantum-repeater networks using stochastic automatic differentiation
Avis, G., & Krastanov, S. (2025) · Physical Review Research · doi:10.1103/2g9m-h3jm · Cited by 6 · see citing works
“…(discussed below), the time window for photon detection [21, 93–95], the coincidence time window for double-click entanglement generation [34, 93, 94], the mean photon number of pulses used to drive SPDC sources [20, 96] and cutoff times that determine how much decoherence entangled states are…”
Asymmetric node placement in fiber-based quantum networks
Avis, G., Knegjens, R., Sørensen, A. S., & Wehner, S. (2024) · Physical Review A · doi:10.1103/physreva.109.052627 · Cited by 6 · see citing works
Taming the Recoil Effect in Cavity-Assisted Quantum Interconnects
Kikura, S., Inoue, R., Yamasaki, H., et al. (2025) · PRX Quantum · doi:10.1103/njh8-q7gb · Cited by 5 · see citing works
“…cavity-response rate: Ω( t ) ≫ γ and Ω( t ) ≫ min( κ, g 2 /κ ) . crucial the The former condition is to avoid reexcitation-induced infidelity [29, 30, 37, 38], whereas the latter allows us to simplify the atom-motion dynamics; under this realistic condition, the excitation and emission processes…”
A photonic engine fueled by entangled two atoms
Feyisa, C. G., & Jen, H. H. (2024) · New Journal of Physics · doi:10.1088/1367-2630/ad32e5 · Cited by 5 · see citing works
“Two-qubit entanglement is one of the most studied topics in various trapping and cooling systems [37–39].”
BackgroundQuantum repeaters: current research trends and latest achievements
Ахмеджанов, Р. А., Balega, Y. Y., Deev, A. D., & Kalachev, A. A. (2025) · Physics-Uspekhi · doi:10.3367/ufne.2025.05.039918 · Cited by 5 · see citing works
Ion-mediated interaction and controlled-phase-gate operation between two atomic qubits
Mudli, S., Mal, S., Rej, S. S., Dey, A., & Deb, B. (2024) · Physical Review A · doi:10.1103/physreva.110.062618 · Cited by 7 · see citing works
Soon, K. S., Hajdušek, M., Nagayama, S., Benchasattabuse, N., Teramoto, K., Satoh, R., & Meter, R. V. (2024) · International Conference on Quantum Communications, Networking, and Computing (QCNC) · doi:10.1109/qcnc62729.2024.00014 · Cited by 5 · see citing works
“Experimental distribution of remote entanglement has been demonstrated in a number of physical systems such as trapped ions [10], [11], trapped neutral atoms [12], color centers in diamond [13], and superconducting qubits [14].”
BackgroundCussenot, P., Grivet, B., Feldmann, L., Wengerowsky, S., Lanyon, B. P., Northup, T. E., de Riedmatten, H., Sørensen, A. S., & Sangouard, N. (2025) · Physical Review Letters · doi:10.1103/hvsx-cx2d · Cited by 8 · see citing works
Self-citationAtomic fluorescence collection into planar photonic devices
Smedley, O., Natarajan, V., Jaramillo, O., Rivy, H. M., & Mehta, K. K. (2024) · Optica Quantum · doi:10.1364/opticaq.540626 · Cited by 5 · see citing works
“Resonant cavities offer a route to order unity collection efficiency at rates beyond that set by free-space spon-taneous emission [23–25]; the associated technical challenges though, particularly for ions, motivate an understanding of limits to free-space collection more readily implemented in…”
Disti-Mator, an entanglement distillation-based state estimator
Casapao, J. C. A., Maity, A. G., Benchasattabuse, N., Hajdušek, M., Meter, R. V., & Elkouss, D. (2025) · Communications Physics · doi:10.1038/s42005-025-02352-2 · Cited by 5 · see citing works
Hoffet, F., Lowinski, J., Heller, L., Padrón-Brito, A., & de Riedmatten, H. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.030305 · Cited by 5 · see citing works
Optimal Switching Networks for Paired-Egress Bell State Analyzer Pools
Koyama, M., Yun, C., Taherkhani, A., Benchasattabuse, N., Sane, B. O., Hajdušek, M., Nagayama, S., & Meter, R. V. (2024) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce60285.2024.00219 · Cited by 5 · see citing works
“If the network itself can be built with enough stability that its effect on polarization can be characterized at infrequent intervals, network operation will be more efficient [35]–[37].”
Deterministic Nonlocal Quantum Gate with Room-Temperature Memory Modules
Lei, X., Li, J., Zhou, X., Yan, J., Ji, M., Yan, Z., Jia, X., Xie, C., & Peng, K. (2025) · Physical Review Letters · doi:10.1103/xt77-2gpw · Cited by 4 · see citing works
A Two-Level Control Framework for Quantum Networks
Yu, S.-Y., Perego, E., Phillips, J., Cheah, Y.-W., Umesh, P., Gao, G., Liu, J., Kissel, E., Bregar, M., Sun, K., et al. (2025) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce65121.2025.00145 · Cited by 4 · see citing works
“To date, a number of quantum network testbeds have been, or are being built around the world to demonstrate the building blocks of quantum networks [12], [15], [17], [19]–[25].”
Architecture for a quantum repeater based on Rydberg-atom quantum processors
Zhang, Y., Jie, Q., Li, M., Wu, S.-H., Wang, Z.-B., Zou, X., Zhang, P., Li, G., Zhang, T., Guo, G.-C., et al. (2025) · Physical Review Applied · doi:10.1103/8rss-rqr2 · Cited by 4 · see citing works
Efficient entanglement purification based on noise guessing decoding
Roque, A., Cruz, D., Monteiro, F. A., et al. (2024) · Quantum · doi:10.22331/q-2024-09-19-1476 · Cited by 4 · see citing works
“In experimental settings, notable progress has been made in establishing entan-glement between different components, as evidenced by successful demonstrations in various systems, including trapped ions [10–12], NV centers [13, 14], neutral atoms [15, 16], and superconducting circuits [17, 18].”
BackgroundScalable determination of multipartite entanglement in quantum networks
Kao, W., Huang, C.-Y., Tsai, T.-J., Chen, S.-H., Sun, S.-Y., Li, Y., Liao, T., Chuu, C., Lu, H., & Li, C. (2024) · npj Quantum Information · doi:10.1038/s41534-024-00867-0 · Cited by 8 · see citing works
Scalable Timing Coordination of Bell State Analyzers in Quantum Networks
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Mitigation of birefringence in cavity-based quantum networks using frequency-encoded photons
Zhang, C., Phillips, J., Monga, I., Sağlamyürek, E., Wu, Q., & Häffner, H. (2025) · Physical Review A · doi:10.1103/physreva.111.062608 · Cited by 4 · see citing works
Satellites promise global-scale quantum networks
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Success probabilities in time-reversal-based hybrid quantum state transfer
Randles, K., & van Enk, S. J. (2024) · Physical Review A · doi:10.1103/physreva.110.012415 · Cited by 4 · see citing works
- Authors
- Krutyanskiy, V., Galli, M., Krcmarsky, V., Baier, S., Fioretto, D. A., Pu, Y., Mazloom, A., Sekatski, P., Canteri, M., Teller, M., Schupp, J., Bate, J., Meraner, M., Sangouard, N., Lanyon, B. P., & Northup, T. E.
- Affiliations
- Austrian Academy of Sciences (AT)
- Universität Innsbruck (AT)
- Georgetown University (US)
- University of Geneva (CH)
- Centre National de la Recherche Scientifique (FR)
- Corresponding author
- Lanyon, B. P.
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2023-02-02
- Volume
- 130
- Issue
- 5
- Pages
- 050803-050803
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W4294320751
- Cited by
- 217
- References
- 77
- Citations by year
- 2026: 46 · 2025: 85 · 2024: 54 · 2023: 32
- FWCI
- 20.49
- Type
- journal article
- Language
- en
- Open access
- green
- hal.science
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- HAL (submittedVersion)
- arXiv (Cornell University) (submittedVersion)
- Digital Library of the University of Innsbruck (University of Innsbruck) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Horizon 2020 Framework Programme (820445)
- Austrian Science Fund (F 7109, Y 849, J 4229)
- Army Research Office (W911NF-15-2-0060)
- National Science Foundation (PHY-1915130)
- Commissariat à l’Énergie Atomique et aux Énergies Alternatives
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- trapped-ion qubits, quantum networks, optical fiber links, cavity quantum electrodynamics, entanglement fidelity, quantum repeaters
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-11.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-11.
Cited sources are checked by gpt-6-sol.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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