On-demand semiconductor single-photon source with near-unity indistinguishability
Open accessAbstract
Single-photon sources based on semiconductor quantum dots offer distinct advantages for quantum information, including a scalable solid-state platform, ultrabrightness and interconnectivity with matter qubits. A key prerequisite for their use in optical quantum computing and solid-state networks is a high level of efficiency and indistinguishability. Pulsed resonance fluorescence has been anticipated as the optimum condition for the deterministic generation of high-quality photons with vanishing effects of dephasing. Here, we generate pulsed single photons on demand from a single, microcavity-embedded quantum dot under s-shell excitation with 3 ps laser pulses. The π pulse-excited resonance-fluorescence photons have less than 0.3% background contribution and a vanishing two-photon emission probability. Non-postselective Hong-Ou-Mandel interference between two successively emitted photons is observed with a visibility of 0.97(2), comparable to trapped atoms and ions. Two single photons are further used to implement a high-fidelity quantum controlled-NOT gate.
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TL;DR
Pulsed resonant s-shell excitation of a microcavity-embedded InGaAs quantum dot generated on-demand single photons with near-unity indistinguishability. The authors observed non-postselective Hong-Ou-Mandel interference with corrected visibility 0.97(2) and used two such photons to implement a quantum controlled-NOT gate.
Key findings
- π-pulse excited resonance-fluorescence photons had less than 0.3% background contributions and anti-bunching of g²(0) = 0.012(2).
- Non-postselective HOM interference between two successively emitted photons separated by 2 ns showed raw visibility 0.91(2) and corrected visibility 0.97(2).
- The overall RF collection efficiency was ∼1.3%, with ∼6% of photons emitted by the QD collected into the first lens after correcting for setup losses.
- A photonic CNOT gate was demonstrated with fidelities F_zz = 0.85(6) and F_xx = 0.85(7), giving process fidelity bounds 0.70(9) ≤ F_proc ≤ 0.85(7).
Methods
- Experiments used self-assembled InGaAs quantum dots embedded in a planar microcavity, cooled to 4.2 K, with confocal microscopy and cross-polarization to suppress scattered laser light.
- The QD was resonantly excited at the s-shell with 3-ps laser pulses at ∼82 MHz; Rabi oscillations, second-order correlations, and high-resolution spectra were measured.
- Two-photon interference used an unbalanced Mach-Zehnder interferometer with 2-ns path-length difference; the CNOT gate used polarization-encoded photons and partial polarizing beam splitters, evaluated with Hofmann’s complementary-fidelity method.
Limitations
- The paper states that photon extraction efficiency is a critical issue: overall collection efficiency was only 1.3%, and it “needs to be drastically improved” for a deterministic single-photon source.
- The paper notes that spectral diffusion and pure dephasing, while not affecting the present 2-ns-separated photons, will limit indistinguishability for photons from independent QDs; gate-controlled QDs or spectral filtering may be needed.
- The text also states that the current work focuses only on the π-pulse regime, and excitation-induced damping of Rabi oscillations is visible at higher powers.
Model-written summary. Check it against the paper before relying on it.
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- Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
Pulsed resonance fluorescence single photons were generated on demand from a single microcavity-embedded quantum dot under s-shell excitation with 3-ps laser pulses.
“Here, we generate pulsed RF single photons on demand from a single, microcavity-embedded quantum dot under s-shell excitation with 3-ps laser pulses.”
- Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · plain
“In this Article, by applying resonant s-shell optical excitation with picosecond laser pulses, we generate pulsed RF single photons on demand from a single QD embedded in a planar microcavity.”
- Also stated in: § Conclusion and outlook · boosted
“In this work, we have demonstrated the on-demand generation of near background-free (∼99.7% purity) and highly indistinguishable RF single photons, from a quantum dot in a planar microcavity driven by resonant π pulses.”
Quote in the paperSubstantial claim - Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · plain
- Findingown data
Passing the resonance fluorescence through an etalon improved the signal-to-background ratio from 20 to 357 at π-pulse excitation.
“This results in a clean RF spectrum as shown in the inset of Fig. 2a, with an improvement of the signal to background (including the detector dark counts) ratio from 20 to 357 at π-pulse excitation.”
Quote in the paperSubstantial claim - Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
Under π-pulse excitation, the second-order correlation at zero delay is g2(0) = 0.012(2).
“show an anti-bunching of g 2 (0) = 0.012(2).”
- Also stated in: § Pulsed resonance fluorescence · boosted
“At zero delay, it shows a clear anti-bunching with a vanishing multi-photon probability of g 2 (0) = 0.012 (2).”
- Also stated in: § Pulsed resonance fluorescence · plain
“The second-order correlation g 2 (0) = 0.012(2) is calculated from the integrated photons counts in the zero time delay peak divided by the average of the adjacent six peaks”
Quote in the paperSubstantial claim - Also stated in: § Pulsed resonance fluorescence · boosted
- Findingreasoning
The full quantum process fidelity Fproc of the controlled-NOT gate is bounded by 0.70(9) ≤ Fproc ≤ 0.85(7).
“Thus, here we have 0.70(9) F proc 0.85 (7).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [50] Fattal, D., Diamanti, E., Inoue, K. & Yamamoto, Y. Quantum teleportation with a quantum dot single photon source. Phys. Rev. Lett. 92, 037904 (2004). source
Not checked in the free run.
- Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
The raw two-photon Hong-Ou-Mandel interference visibility is 0.91(2).
“raw visibility of 0.91(2)”
- Also stated in: § Two-photon quantum interference · plain
“This corresponds to a raw two-photon HOM interference visibility of 0.91(2).”
Quote in the paperSubstantial claim - Also stated in: § Two-photon quantum interference · plain
- Findingown data
The spontaneous emission lifetime for this quantum dot is T1 = 0.41(2) ps.
“The spontaneous emission lifetime for this QD is measured to be T 1 =0.41(2)ps (see Fig. S3)”
Quote in the paperNot a substantial claim - Findingown data
The overall resonance fluorescence collection efficiency is approximately 1.3%.
“The overall RF collection efficiency is ∼ 1.3%.”
Quote in the paperNot a substantial claim - Findingown data
The fidelity of the controlled-NOT operation in the XX basis is Fxx = 0.85(7).
“The fidelity of the CNOT operation, defined as the probability of obtaining the correct output averaged over all four possible inputs, is in the ZZ basis: F zz = 0.85(6), and in the XX basis: F xx = 0.85 (7).”
Quote in the paperSubstantial claim - Findingown data
The pulsed resonance fluorescence spectrum is fitted with a Voigt profile with a homogeneous linewidth of 0.4(1) GHz (corresponding to T2 = 0.7(2) ns) and an inhomogeneous linewidth of 1.0(1) GHz.
“can be fitted with a Voigt profile with a homogeneous linewidth of 0.4(1)GHz (corresponding to T 2 =0.7(2)ns) and an inhomogeneous linewidth of 1.0(1)GHz.”
Quote in the paperNot a substantial claim - Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
Non-postselective Hong-Ou-Mandel interference between two successively emitted resonance fluorescence photons is observed with a visibility of 0.97(2).
“Non-postselective Hong-Ou-Mandel interference between two successively emitted photons is observed with a visibility of 0.97(2), comparable to trapped atoms and ions.”
- Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · plain
“We observe non-postselective HOM interference with a raw visibility of 0.91(2) and corrected visibility of 0.97(2) for two RF photons excited by two successive π pulses separated by 2ns.”
- Also stated in: § Two-photon quantum interference · plain
“we obtain corrected degrees of indistinguishability to be 0.97 (2).”
Quote in the paperSubstantial claim - Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · plain
- Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
Rabi oscillations are visible from the variation of the resonance fluorescence intensity as a function of pump pulse area.
“Rabi oscillations are visible from the variation of the RF intensity as a function of pump pulse area.”
- Also stated in: § Pulsed resonance fluorescence · boosted
“The oscillation of the RF intensity is due to the wellknown Rabi rotation between the ground and the excitonic state.”
Quote in the paperNot a substantial claim - Also stated in: § Pulsed resonance fluorescence · boosted
- Findingreasoning
Approximately 6% of the photons emitted by the quantum dot are collected into the first lens.
“we estimate that ∼ 6% of the photons emitted by the QD are collected into the first lens, which is in good agreement with numerical simulations”
Quote in the paperNot a substantial claim - Findingreasoning§ On-demand semiconductor single-photon source with near-unity indistinguishability
The corrected degree of indistinguishability is 0.97(2).
“corrected visibility of 0.97(2)”
- Also stated in: § Two-photon quantum interference · plain
“we obtain corrected degrees of indistinguishability to be 0.97 (2).”
Quote in the paperSubstantial claim- Rests on an assumption: The independently measured optical imperfections and residual two-photon emission probability account for all factors that reduce the Hong-Ou-Mandel visibility from unity.
- Also stated in: § Two-photon quantum interference · plain
- Findingown data
The fidelity of the controlled-NOT operation in the ZZ basis is Fzz = 0.85(6).
“The fidelity of the CNOT operation, defined as the probability of obtaining the correct output averaged over all four possible inputs, is in the ZZ basis: F zz = 0.85(6), and in the XX basis: F xx = 0.85 (7).”
Quote in the paperSubstantial claim - Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
π-pulse excited resonance fluorescence photons have a vanishing two-photon emission probability.
“The π-pulse excited RF photons have less than 0.3% background contributions and a vanishing two-photon emission probability.”
- Also stated in: § Pulsed resonance fluorescence · boosted
“At zero delay, it shows a clear anti-bunching with a vanishing multi-photon probability of g 2 (0) = 0.012 (2).”
Quote in the paperSubstantial claim - Also stated in: § Pulsed resonance fluorescence · boosted
- Findingown data
The resonance fluorescence intensity reaches its first peak at the π pulse.
“The RF intensity reaches its first peak at the π pulse.”
Quote in the paperSubstantial claim - Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
Two single photons were used to implement a quantum controlled-NOT gate.
“Two single photons are further used to implement a high-fidelity quantum controlled-NOT gate.”
- Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · boosted
“Finally, the highly indistinguishable RF photons are utilized to demonstrate a quantum controlled-NOT gate.”
- Also stated in: § Conclusion and outlook · boosted
“a quantum CNOT gate with entangling capability has been successfully demonstrated.”
Quote in the paperSubstantial claim - Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · boosted
- Findingown data
The probability of two photons to exit the same channel in a two-photon Fock state (bunching) is 95.4%.
“Quantitative evaluation (see the caption of Fig. 3 for details) shows that the probability of the two photons to exit the same channel in a 2-photon Fock state (bunching) is 95.4%.”
Quote in the paperSubstantial claim - Findingown data
On another quantum dot, Hong-Ou-Mandel interference with π, 0.72π and 0.41π pulse excitation yields visibilities of 0.96(6), 0.97(6) and 0.99(4), respectively.
“On another QD, we test the HOM interference with π, 0.72π and 0.41π pulse excitation and observe visibilities of 0.96(6), 0.97(6) and 0.99(4), respectively (see the data in Fig. S4).”
Quote in the paperSubstantial claim - Findingown data
The pure dephasing time T*2 is estimated to be 5.7 ∞ 3.8 ns.
“we estimate the pure dephasing time T * 2 =5.7 ∞ 3.8 ns.”
Quote in the paperNot a substantial claim - Findingown data§ On-demand semiconductor single-photon source with near-unity indistinguishability
π-pulse excited resonance fluorescence photons have less than 0.3% background contributions.
“The π-pulse excited RF photons have less than 0.3% background contributions and a vanishing two-photon emission probability.”
- Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · plain
“Under deterministic πpulse excitations, the RF photons have less than 0.3% background contributions and show an anti-bunching of g 2 (0) = 0.012(2).”
- Also stated in: § Conclusion and outlook · hedged
“near background-free (∼99.7% purity)”
Quote in the paperSubstantial claim - Also stated in: § On-demand semiconductor single-photon source with near-unity indistinguishability · plain
- Findingown data
Resonantly driven single QD emission shows a significantly reduced spectral linewidth compared with incoherent excitation methods including above-bandgap and p-shell CW excitation.
“In our experiment, we begin with an optical characterization of the QDs and observe a significantly reduced spectral linewidth of the emitted photons from a resonantly driven single QD compared with incoherent excitation methods including via above-bandgap and p-shell using CW lasers.”
Quote in the paperSubstantial claim - Findingown data
CW RF photons exhibit a significantly narrower linewidth of ∼0.48 GHz even at high power well above saturation (32P0) where a Mollow triplet arises.
“On the other hand, CW RF photons (see Fig. S2c) exhibit a significantly narrower linewidth of ∼ 0.48GHz even at high power regime well above saturation (32P 0 ) where a Mollow triplet arises [1][2][3].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [1][2][3]
Not checked in the free run.
- Findingown data
π-pulse excited single photons were obtained with an overall collection efficiency of 1.3% reaching the single-photon detector.
“So far, we have obtained π-pulse excited single photons with an overall collection efficiency of 1.3% reaching the single-photon detector.”
Quote in the paperNot a substantial claim - Findingown data
At moderate power around saturation, CW photoluminescence from above-bandgap excitation yields a linewidth of ∼2.5 GHz.
“At moderate power regime (around saturation), the CW photoluminescence spectra arising from above band-gap and p-shell excitation yields a linewidth of ∼ 2.5GHz (see Fig. S2a) and ∼ 1.5GHz (Fig. S2b), respectively.”
Quote in the paperSubstantial claim - Findingown data
At moderate power around saturation, CW photoluminescence from p-shell excitation yields a linewidth of ∼1.5 GHz.
“At moderate power regime (around saturation), the CW photoluminescence spectra arising from above band-gap and p-shell excitation yields a linewidth of ∼ 2.5GHz (see Fig. S2a) and ∼ 1.5GHz (Fig. S2b), respectively.”
Quote in the paperNot a substantial claim - Findingown data
π-pulse excitation is obtained with reasonable quality.
“While excitation-induced damping of the Rabi oscillation (there has been an intense debate on its mechanism, see e.g.[37]) is visible at higher powers, a π-pulse excitation is obtained with reasonable quality.”
Quote in the paperSubstantial claim - Findingown data
Excitation-induced damping of the Rabi oscillation is visible at higher powers.
“While excitation-induced damping of the Rabi oscillation (there has been an intense debate on its mechanism, see e.g.[37]) is visible at higher powers, a π-pulse excitation is obtained with reasonable quality.”
Quote in the paperNot a substantial claim - Findingown data
The second-order correlation g2(0) for RF emission from the QD under pulsed s-shell excitation is 0.012(2).
“The second-order correlation g 2 (0) = 0.012(2) is calculated from the integrated photons counts in the zero time delay peak divided by the average of the adjacent six peaks, and its error (0.002) which denotes one standard deviation, is deduced from propagated Poissonian counting statistics of the raw detection events.”
Quote in the paperSubstantial claim - Findingown data
The inhomogeneous (Gaussian) linewidth ω_G increases at larger excitation power.
“As plotted in the inset of Fig. S3, the ω G shows a increase at larger excitation power, which is in qualitative agreement with previous investigations of light-induced spectral diffusion [7].”
Quote in the paperNot a substantial claim - Findingown data
The spontaneous emission lifetime of the QD1 single-charged exciton measured by time-resolved pulsed RF is 416(23) ps.
“The blue dots are the instrument response function, the black squares are the measured raw data and the red curve is the best fit to the measured data obtained by convolving the instrument response function with an exponential function with a decay time of 416 (23) ps.”
Quote in the paperNot a substantial claim - Findingreasoning
The central cluster shows an overall reduced photon counts compared to the side clusters.
“The central cluster shows an overall reduced photon counts compared to the side clusters due to the single-photon nature of the source.”
Quote in the paperNot a substantial claim - Findingreasoning
After accounting for residual two-photon emission probability g2(0)=0.008(2) and optical imperfections of the interferometric setup, the corrected degrees of indistinguishability are 0.956(58), 0.966(59), and 0.989(41) for π, 0.72π, and 0.41π pulses, respectively.
“g 2 (0) = 0.008(2), and the optical imperfections of our interferometric setup (same as in the main text), we obtain corrected degrees of indistinguishability to be 0.956(58), 0.966(59), 0.989(41) for the π, 0.72π and 0.41π pulses, respectively.”
Quote in the paperSubstantial claim - Findingown data
The residual two-photon emission probability for this QD is g2(0)=0.008(2).
“g 2 (0) = 0.008(2)”
Quote in the paperSubstantial claim - Findingown data
A well-separated Mollow triplet is observed at 32P0 (Ω ∼ 7.8Γ1).
“one example of well-separated Mollow triplet at 32P0 (Ω ∼ 7.8Γ1) where Γ1 is the QD exciton spontaneous emission rate.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The relatively slow spectral diffusion and pure dephasing will limit the degree of indistinguishability for photons from independent quantum dots.
“We note that although the relatively slow spectral diffusion and pure dephasing does not affect the two-photon interference in our present work due to the 2-ns time separation of the photons, it will limit the degree of indistinguishability for photons from independent QDs.”
Quote in the paperSubstantial claim - Interpretationown data
These are to date the highest visibilities reported for quantum-dot-based single-photon sources.
“Taken together, these are to date the highest visibilities reported for QD-based single-photon sources.”
Quote in the paperSubstantial claim - Interpretationown data
One and only one resonance fluorescence photon is generated on demand from every π-pulse excitation.
“Thus it can be concluded that one and only one RF photon is generated on demand from every π-pulse excitation.”
Quote in the paperSubstantial claim - Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishability
A high degree of indistinguishability between individual photons is required to obtain Hong-Ou-Mandel interference, which is central to photonic controlled logic gates and photon-interference-mediated quantum networking.
“These proposals primarily rely upon a high degree of indistinguishability between individual photons to obtain the Hong-Ou-Mandel (HOM) type interference [5] which is at the heart of photonic controlled logic gates and photon-interference-mediated quantum networking [1][2][3][4].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [5] Hong, C. K., Ou, Z. Y. & Mandel, L. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044–2046 (1987). source
Not checked in the free run.
- cites [1][2][3][4]
Not checked in the free run.
- Interpretationreasoning
The relatively slow spectral diffusion and pure dephasing do not affect the two-photon interference in the present work due to the 2-ns time separation of the photons.
“We note that although the relatively slow spectral diffusion and pure dephasing does not affect the two-photon interference in our present work due to the 2-ns time separation of the photons, it will limit the degree of indistinguishability for photons from independent QDs.”
Quote in the paperSubstantial claim - Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishability
Incoherent pumping via above band-gap or p-shell excitation typically causes reduced photon coherence times due to homogeneous broadening and uncontrolled emission time jitter, leading to decreased photon indistinguishability.
“The method of incoherent pumping (via above band-gap or p-shell excitation) typically causes reduced photon coherence times due to homogeneous broadening of the excited state [5] and uncontrolled emission time jitter from the nonradiative high-level to s-shell relaxation [6], leading to a decrease of photon indistinguishability.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [5] Hong, C. K., Ou, Z. Y. & Mandel, L. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044–2046 (1987). source
Not checked in the free run.
- cites [6] Lounis, B. & Orrit, M. Single-photon sources. Rep. Prog. Phys. 68, 1129–1179 (2005). source
Not checked in the free run.
- Premisecitation
The two complementary fidelities Fzz and Fxx are sufficient to give upper and lower bounds for the full quantum process fidelity Fproc.
“These two complementary fidelities, F zz and F xx , are sufficient to give an upper and a lower bound for the full quantum process fidelity F proc of the gate by (F zz + F xx -1) F proc min(F zz , F xx ).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [50] Fattal, D., Diamanti, E., Inoue, K. & Yamamoto, Y. Quantum teleportation with a quantum dot single photon source. Phys. Rev. Lett. 92, 037904 (2004). source
Not checked in the free run.
- Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishability
Before this work, access to a background-free on-demand single-photon source with near-unity indistinguishability proved elusive.
“Yet, access to a background-free on-demand single-photon source with near-unity indistinguishability proved elusive [33].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [33] Zrenner, A. et al. Coherent properties of a two-level system based on a quantum-dot photodiode. Nature 418, 612–614 (2002). source
Not checked in the free run.
- Study design and conductown data
The correction of the Hong-Ou-Mandel visibility uses independently measured optical imperfections R/T = 1.01 and (1 - ε) = 0.98.
“Taking into account the residual two-photon emission probability g 2 (0) = 0.012(2), and the optical imperfections of our interferometric setup which are independently measured, R/T = 1.01 and (1 -ε) = 0.98, where R, T are the reflectivity and transmitivity of the beam splitter and (1 -ε) is the first-order interference visibility of the Mach-Zehnder interferometer tested with a CW laser, we obt”
Quote in the paperSubstantial claim - Premisecitation
In previous pulsed above-bandgap or p-shell excitation experiments, the photon coherence time had to be much larger than the incoherent carrier relaxation time jitter (about tens of ps) to obtain good two-photon interference visibility, which fundamentally limited radiative lifetime shortening through the Purcell effect.
“Lastly, it is important to note that in the previous pulsed above-bandgap or p-shell excitation experiment, the photon coherence time had to be much larger than the incoherent carrier relaxation time jitter (about tens of ps) in order to obtain a good two-photon interference visibility [6], which fundamentally put a limit on the radiative lifetime shortening through the Purcell effect.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [6] Lounis, B. & Orrit, M. Single-photon sources. Rep. Prog. Phys. 68, 1129–1179 (2005). source
Not checked in the free run.
- Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishability
Under continuous-wave laser excitation, a high degree of indistinguishability for continuously generated resonance fluorescence photons has been demonstrated through post-selective Hong-Ou-Mandel interference.
“Under continuous-wave (CW) laser excitation, a high degree of indistinguishability for con-tinuously generated RF photons has been demonstrated through post-selective HOM interference [25].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [25] Ates, S. et al. Post-selected indistinguishable photons from the resonance fluorescence of a single quantum dot in a microcavity. Phys. Rev. Lett. 103, 167402 (2009). source
Not checked in the free run.
- Interpretationcitation
The observed near-radiative-lifetime-limited coherence is consistent with the prediction that pure s-shell resonant excitation can eliminate dephasings associated with incoherent excitation methods.
“This is consistent with the prediction that the pure s-shell resonant excitation can eliminate dephasings associated with the incoherent excitation methods [5,6].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [5] Hong, C. K., Ou, Z. Y. & Mandel, L. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044–2046 (1987). source
Not checked in the free run.
- cites [6] Lounis, B. & Orrit, M. Single-photon sources. Rep. Prog. Phys. 68, 1129–1179 (2005). source
Not checked in the free run.
- Interpretationown data
The reduction in central cluster counts is due to the single-photon nature of the source.
“The central cluster shows an overall reduced photon counts compared to the side clusters due to the single-photon nature of the source.”
Quote in the paperNot a substantial claim - Interpretationnone given
The unwanted combinations in the CNOT truth table are mainly caused by the imperfections of the optical elements and the remaining distinguishability of the single photons.
“The unwanted combinations are mainly caused by the imperfections of the optical elements and the remaining distinguishability of the single photons.”
Quote in the paperNot a substantial claim
- Classified as probably not a substantial claim. 15
- May combine two claims. 14
- The quote only partly states this claim. 1
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Findingown dataThe inhomogeneous linewidth varies for different quantum dots and typically increases at larger excitation power.
“The inhomogeneous linewidth varies for different QDs and typically shows an increase at larger excitation power (see Fig. S3), which is in qualitative agreement with previous investigations of light-induced spectral diffusion [7].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [7] Shields, A. J. Semiconductor quantum light sources. Nature Photon. 1, 215–223 (2007). source
Not checked in the free run.
May combine two claims.
Findingown dataFor distinguishable photons with different polarization, the expected peak-area ratio is 1:2:2:2:1, in good agreement with the measured data.
“For distinguishable photons with different polarization, the expected peak-area ratio equals 1:2:2:2:1, which is in good agreement with Fig. 3b.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe coherence time T2 fitted from CW RF spectra at P0 is closest to radiative-lifetime limited, with T2/2T1 = 0.93(6), where T1 is the exciton lifetime measured separately as 390(10) ps using time-resolved pulsed RF.
“The coherence time T 2 fitted (using the corrected Eqn.(1) from ref. [4]) from the CW RF spectra at P 0 is closest to being radiative lifetime limited: T 2 /2T 1 =0.93(6),where T 1 is the exciton lifetime which is measured separately to be of 390(10)ps using time-resolved pulsed RF.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [4] Kimble, H. J. The quantum internet. Nature 453, 1023–1030 (2008). source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataA fine-structure splitting of ∼2.3 GHz is visible from the spectra.
“A fine-structure splitting of ∼ 2.3GHz is visible from the spectra.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataDue to the limited time response, the five peaks have finite overlaps.
“Due to the limited time response, the five peaks have finite overlaps.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataHOM interference tested with π, 0.72π, and 0.41π pulse excitation, where RF counts reach ∼100%, ∼90%, and ∼60% saturation, shows raw visibilities of 0.903(55), 0.912(56), and 0.934(39), respectively.
“The HOM interference are tested with π, 0.72π and 0.41π pulse excitation where the RF counts reach ∼ 100%, ∼ 90% and ∼ 60% saturation level, and show raw visibilities of 0.903(55), 0.912(56) and 0.934 (39), respectively (see Fig. 4(c-h)).”
- Also stated in: § HOM interference at different excitation power · plain
“The HOM interference are tested with π, 0.72π and 0.41π pulse excitation where the RF counts reach ∼ 100%, ∼ 90% and ∼ 60% saturation level, and show raw visibilities of 0.903(55), 0.912(56) and 0.934(39), respectively (see Fig.4(c-h)).”
Quote in the paperSubstantial claim- Also stated in: § HOM interference at different excitation power · plain
May combine two claims.
Findingown dataThe excitation laser profile is much broader than the RF signal, enabling a second-stage of background filtering based on frequency which is not possible in the CW case.
“The excitation laser profile (fitted by the red line) is much broader than the RF signal, enabling a second-stage of background filtering based on frequency (see text) which is not possible in the CW case.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataClusters of five peaks appear periodically with repetition period of ∼12.2 ns.
“Clusters of five peaks appear periodically with repetition period of ∼12.2 ns.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationcitationThe controlled-NOT gate's process fidelity Fproc surpasses the threshold of 0.5, which is sufficient to confirm the gate's entangling capability.
“Here, the F proc well surpasses the the threshold of 0.5, which is sufficient to confirm the entangling capability of our CNOT gate.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [50] Fattal, D., Diamanti, E., Inoue, K. & Yamamoto, Y. Quantum teleportation with a quantum dot single photon source. Phys. Rev. Lett. 92, 037904 (2004). source
Not checked in the free run.
May combine two claims.
InterpretationcitationSpectral diffusion should happen at a time scale much longer than the 2-ns separation, consistent with previous experiments.
“The spectral diffusion (as shown in Fig. 2c) should also happen at a time scale much longer than the 2-ns separation, which is consistent with previous experiments [5,7,15,40].”
Quote in the paperSubstantial claim0 of 4 sources checked- cites [5] Hong, C. K., Ou, Z. Y. & Mandel, L. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044–2046 (1987). source
Not checked in the free run.
- cites [7] Shields, A. J. Semiconductor quantum light sources. Nature Photon. 1, 215–223 (2007). source
Not checked in the free run.
- cites [15] Santori, C., Fattal, D., Vuckovic, J., Solomon, G. & Yamamoto, Y. Indistinguishable photons from a single-photon device. Nature 419, 594–597 (2002). source
Not checked in the free run.
- cites [40] Kuhn, A., Hennrich, M. & Rempe, G. Deterministic single-photon source for distributed quantum networking. Phys. Rev. Lett. 89, 067901 (2002). source
Not checked in the free run.
May combine two claims.
InterpretationreasoningThe pure dephasing time T*2 = 5.7 ∞ 3.8 ns is considerably larger than 2 ns and thus should have little effect on the visibility.
“The pure dephasing time T * 2 =5.7 ∞ 3.8 ns is considerably larger than the 2ns and thus should have little effect on the visibility.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe high-visibility results indicate a reduction of fast dephasing and an elimination of emission time jitter associated with pulsed resonance fluorescence, compared to previous incoherent excitation methods.
“The high-visibility results indicate a reduction of the fast dephasing and an elimination of the emission time jitter associated with the pulsed RF, compared to the previous incoherent excitation methods.”
Quote in the paperSubstantial claimThe quote only partly states this claim.
Interpretationown data§ On-demand semiconductor single-photon source with near-unity indistinguishabilityThe Hong-Ou-Mandel interference visibility of 0.97(2) is comparable to that of trapped atoms and ions.
“comparable to trapped atoms and ions.”
- Also stated in: § Two-photon quantum interference · boosted
“These results demonstrate that the solid-state pulsed RF single photons in quick succession are highly indistinguishable to a level comparable to the best results from those welldeveloped systems such as parametric down-conversion [1], trapped atoms and ions [41][42][43][44].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [1] Pan, J-W. et al. Multi-photon entanglement and interferometry. Rev. Mod. Phys. 84, 777–838 (2012). source
Not checked in the free run.
- cites [41][42][43][44]
Not checked in the free run.
- Also stated in: § Two-photon quantum interference · boosted
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductcitationThe performance of the quantum controlled-NOT gate was evaluated using an efficient method proposed by Hofmann.
“We experimentally evaluate the performance of the quantum CNOT gate using an efficient method proposed by Hofmann [50].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [50] Fattal, D., Diamanti, E., Inoue, K. & Yamamoto, Y. Quantum teleportation with a quantum dot single photon source. Phys. Rev. Lett. 92, 037904 (2004). source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationThe process fidelity is directly related to the quantum entangling capability of the controlled-NOT gate; the gate can produce entangled states from unentangled input states.
“The process fidelity is directly related to the quantum entangling capability of the CNOT gate, that is, the CNOT gate can produce entangled states from unentangled input states [50].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [50] Fattal, D., Diamanti, E., Inoue, K. & Yamamoto, Y. Quantum teleportation with a quantum dot single photon source. Phys. Rev. Lett. 92, 037904 (2004). source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishabilityQuantum dots are attractive solid-state devices because they can be embedded in high-quality nanostructure cavities and waveguides to generate ultra-bright sources of single and entangled photons, provide a light-matter interface, and can in principle be scaled to large quantum networks.
“Among different types of single-photon emitters [6,7], quantum dots (QDs) are attractive solid-state devices since they can be embedded in high-quality nanostructure cavities and waveguides to generate ultra-bright sources of single and entangled photons [7][8][9][10].QDs also provide a light-matter interface [11][12][13] and can in principle be scaled to large quantum networks [14].”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites [7][8][9][10]
Not checked in the free run.
- cites [11][12][13]
Not checked in the free run.
- cites [14] Yao, W., Liu, R. B. & Sham, L. J. Theory of control of the spin–photon interface for quantum networks. Phys. Rev. Lett. 95, 030504 (2005). source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductown dataThe error on the second-order correlation g2(0) is deduced from propagated Poissonian counting statistics of the raw detection events.
“its error (0.002) which denotes one standard deviation, is deduced from propagated Poissonian counting statistics of the raw detection events.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Study design and conductreasoningThe microscope was operated in a cross-polarization configuration that extinguished the scattered laser by a factor exceeding 10^6.
“The microscope is operated in a crosspolarization configuration, whereby a polarizer is placed in the collection arm with its polarization perpendicular to the excitation light, extinguishing the scattered laser by a factor exceeding 10 6 .”
Quote in the paperSubstantial claimMay combine two claims.
Study design and conductown dataThe controlled-NOT gate was tested in both the computational basis (ZZ) and its linear superpositions (XX).
“To show the quantum behaviour of the CNOT gate, it is tested for different combinations of input-output states using complementary bases, that is, in both the computational basis (|0 / |1 ) and their linear superpositions (|± = (1/ √ 2)(|0 ± |1 )), which are refereed to as the ZZ and XX basis using the Pauli matrix language respectively.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishabilityEarlier experiments have used pulsed resonant excitation to demonstrate Rabi oscillation, a hallmark for quantum optics.
“Earlier experiments [21,32] have used pulsed resonant excitation to demonstrate Rabi oscillation, a hallmark for quantum optics.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [21] Muller, A. et al. Resonance fluorescence from a coherently driven semiconductor quantum dot in a cavity. Phys. Rev. Lett. 99, 187402 (2007). source
Not checked in the free run.
- cites [32] Melet, R. et al. Resonant excitonic emission of a single quantum dot in the Rabi regime. Phys. Rev. B 78, 073301 (2008). source
Not checked in the free run.
Classified as probably not a substantial claim. May combine two claims.
Premisecitation§ On-demand semiconductor single-photon source with near-unity indistinguishabilityPulsed and resonant s-shell excitation has been anticipated to remedy the problems of incoherent and continuous-wave excitation and enable deterministic generation of time-tagged, highly indistinguishable single photons.
“It has been anticipated [6,[17][18][19]25] that pulsed and resonant s-shell excitation could remedy the above problems and be used for deterministic generation of timetagged, highly indistinguishable single photons.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [6,[17][18][19]25]
Not checked in the free run.
Classified as probably not a substantial claim. May combine two claims.
InterpretationreasoningThe true resonant, time-jitter-free, pulsed RF technique developed here has no such limitation and can be fully compatible with large Purcell factors to be implemented in the future.
“We emphasize that the true resonant, time-jitterfree, pulsed RF technique developed here has no such limitation and can be fully compatible with large Purcell factors to be implemented in the future.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenAll the data reported are raw data without subtraction of background or smoothing.
“All the data reported are raw data without subtraction of background or smoothing.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenThe lasers are power stabilized with less than 4% fluctuation.
“The lasers are power stabilized (< 4% fluctuation) and focused on the QD sample with an aspheric objective lens (NA=0.68)placed inside a cryogenic-free cryostat (Attodry1000).”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationcitationThe increase in ω_G at larger excitation power is in qualitative agreement with previous investigations of light-induced spectral diffusion.
“As plotted in the inset of Fig. S3, the ω G shows a increase at larger excitation power, which is in qualitative agreement with previous investigations of light-induced spectral diffusion [7].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [7] Shields, A. J. Semiconductor quantum light sources. Nature Photon. 1, 215–223 (2007). source
Not checked in the free run.
The paper relies on this without support.
The independently measured optical imperfections and residual two-photon emission probability account for all factors that reduce the Hong-Ou-Mandel visibility from unity.
“Taking into account the residual two-photon emission probability g 2 (0) = 0.012(2), and the optical imperfections of our interferometric setup which are independently measured, R/T = 1.01 and (1 -ε) = 0.98, where R, T are the reflectivity and transmitivity of the beam splitter and (1 -ε) is the first-order interference visibility of the Mach-Zehnder interferometer tested with a CW laser, we obt”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the previous demonstration of eight-photon entanglement, sources of triggered single photons were generated with a count rate of 310000/sec, multiphoton emission probability of 2.9%, raw indistinguishability of 76%, under laser pump power of 880 mW.
“In the previous demonstration of the largest, eight-photon entanglement [28], sources of triggered single photons were generated with a count rate of 310000= sec, multiphoton emission probability of 2.9% and raw indistinguishablility of 76%, under a laser pump power of 880 mW.”
From On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar (2016) · cites this paper as [28]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Figure S3 is identified as two different measurements
MinorThe text directs readers to Fig. S3 for a high-resolution spectrum, but the supplied Fig. S3 caption identifies it as a spontaneous-emission-lifetime measurement.
“A high-resolution pulsed RF spectrum from QD2 is shown in Fig. S3.”
“FIG. S3: Spontaneous emission lifetime of the QD1 single-charged exciton measured by time-resolved pulsed RF.”
Hofmann method is attributed to the wrong numbered reference
MinorThe text attributes the gate-evaluation method to Hofmann [50], but reference 50 is by Pooley and colleagues; the Hofmann paper is reference 51.
“We experimentally evaluate the performance of the quantum CNOT gate using an efficient method proposed by Hofmann [50].”
“50. Pooley, M. A. et al. Controlled-NOT gate operating with single photons. Appl. Phys. Lett 100, 21103 (2012). 51. Hofmann, H. F. Complementary classical fidelities as an efficient criterion for the evaluation of experimentally re- alized quantum operations. Phys. Rev. Lett. 94, 160504 (2005).”
Figure S4 is identified as both a histogram and a spectrum
MinorThe supplementary text says Fig. S4a-b contains full HOM histograms, whereas the supplied Fig. S4 caption describes a high-resolution RF spectrum.
“Figure S4a-b show the data of full histogram obtained on QD2.”
“Figure: FIG.S4: A high-resolution RF spectrum when excited by a 0.8π pulse.”
Exciton lifetime is reported in conflicting units
MinorThe main text gives the lifetime as 0.41 ps, while the supplementary caption reports a 416 ps decay time for the same QD1 measurement-a factor of about 1,000 difference.
“The spontaneous emission lifetime for this QD is measured to be T 1 =0.41(2)ps (see Fig. S3)”
“FIG. S3: Spontaneous emission lifetime of the QD1 single-charged exciton measured by time-resolved pulsed RF.The blue dots are the instrument response function, the black squares are the measured raw data and the red curve is the best fit to the measured data obtained by convolving the instrument response function with an exponential function with a decay time of 416 (23) ps.”
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Single-Photon Generation With InAs Quantum Dots
Santori, C., Fattal, D. A., Vučković, J., et al. (2004) · doi:10.21236/ada426389 · Cited by 8 · see citing works
Deutsch-Jozsa algorithm using triggered single photons from a single quantum dot
Scholz, M., Ramelow, S., Benson, O. J., et al. (2006) · doi:10.1109/cleo.2006.4629027 · Cited by 1 · see citing works
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Solid-state single-photon emitters
Aharonovich, I., Englund, D., & Toth, M. (2016) · Nature Photonics · doi:10.1038/nphoton.2016.186 · Cited by 1,786 · see citing works
Integrated photonic quantum technologies
Wang, J., Sciarrino, F., Laing, A., & Thompson, M. G. (2020) · Nature Photonics · doi:10.1038/s41566-019-0532-1 · Cited by 1,576 · see citing works
Interfacing single photons and single quantum dots with photonic nanostructures
Lodahl, P., Mahmoodian, S., & Stobbe, S. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.347 · Cited by 1,465 · see citing works
Ding, X., He, Y., Duan, Z.-C., Gregersen, N., Chen, M.-C., Unsleber, S., Maier, S., Schneider, C., Kamp, M., Höfling, S., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.020401 · Cited by 908 · see citing works
Self-citationMeasurement-Device-Independent Quantum Key Distribution Over a 404 km Optical Fiber
Yin, H.-L., Chen, T.-Y., Yu, Z.-W., Liu, H., You, L.-X., Zhou, Y.-H., Chen, S.-J., Mao, Y., Huang, M.-Q., Zhang, W.-J., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.190501 · Cited by 836 · see citing works
Self-citationHybrid integration methods for on-chip quantum photonics
Kim, J.-H., Aghaeimeibodi, S., Carolan, J., Englund, D., & Waks, E. (2020) · Optica · doi:10.1364/optica.384118 · Cited by 272 · see citing works
Experimental Quantum Computing to Solve Systems of Linear Equations
Cai, X.-D., Weedbrook, C., Su, Z.-E., Chen, M.-C., Gu, M., Zhu, M.-J., Li, L., Liu, N.-L., Lu, C.-Y., & Pan, J.-W. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.230501 · Cited by 173 · see citing works
Self-citationWei, Y.-J., He, Y.-M., Chen, M.-C., Hu, Y.-N., He, Y., Wu, D., Schneider, C., Kamp, M., Höfling, S., Lu, C.-Y., et al. (2014) · Nano Letters · doi:10.1021/nl503081n · Cited by 169 · see citing works
Self-citationTwo-photon interference from a bright single-photon source at telecom wavelengths
Kim, J.-H., Cai, T., Richardson, C. J. K., Leavitt, R. P., & Waks, E. (2016) · Optica · doi:10.1364/optica.3.000577 · Cited by 144 · see citing works
Gallium arsenide (GaAs) quantum photonic waveguide circuits
Wang, J., Santamato, A., Jiang, P., Bonneau, D., Engin, E., Silverstone, J. W., Lermer, M., Beetz, J., Kamp, M., Höfling, S., et al. (2014) · Optics Communications · doi:10.1016/j.optcom.2014.02.040 · Cited by 134 · see citing works
Self-citationUnsleber, S., McCutcheon, D. P. S., Dambach, M., Lermer, M., Gregersen, N., Höfling, S., Mørk, J., Schneider, C., & Kamp, M. (2015) · Physical Review B · doi:10.1103/physrevb.91.075413 · Cited by 37 · see citing works
Self-citation
- Authors
- He, Y.-M., He, Y., Wei, Y.-J., Wu, D., Atatüre, M., Schneider, C., Höfling, S., Kamp, M., Lu, C.-Y., & Pan, J.-W.
- Affiliations
- University of Science and Technology of China (CN)
- University of Würzburg (DE)
- Corresponding author
- Höfling, Sven
- Lu, Chao-Yang
- Pan, Jian-Wei
- ORCID
- Venue
- Nature Nanotechnology
- Published
- 2013-02-03
- Volume
- 8
- Issue
- 3
- Pages
- 213-217
- ISSN
- 1748-3387 (ISSN-L)
- 1748-3395
- OpenAlex
- W1990286022
- Semantic Scholar
- 451edc5ed345cbd2cd7763b2e06b37ed89217c6d
- Cited by
- 559
- References
- 62
- Citations by year
- 2026: 17 · 2025: 27 · 2024: 28 · 2023: 33 · 2022: 37 · 2021: 46 · 2020: 40 · 2019: 50 · 2018: 49 · 2017: 62 · 2016: 58 · 2015: 54 · 2014: 43 · 2013: 15
- FWCI
- 29.14
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Nanotechnology (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- National Natural Science Foundation of China (2011CB921300, 2013CB933300)
- Chinese Academy of Sciences (2011CB921300)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- 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
- Keywords
- single-photon sources, semiconductor quantum dots, indistinguishability, Hong-Ou-Mandel interference, CNOT gate, optical quantum computing
- MeSH terms
- Fluorescence, Lasers, Light, Photons, Quantum Dots
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 2026-10-09.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-09.
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