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Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Open accessAbstract
An unknown quantum state \ensuremath{\Vert}\ensuremath{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations. To do so the sender, ``Alice,'' and the receiver, ``Bob,'' must prearrange the sharing of an EPR-correlated pair of particles. Alice makes a joint measurement on her EPR particle and the unknown quantum system, and sends Bob the classical result of this measurement. Knowing this, Bob can convert the state of his EPR particle into an exact replica of the unknown state \ensuremath{\Vert}\ensuremath{\varphi}〉 which Alice destroyed.
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“An unknown quantum state ]P) can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Furthermore, after Alice s measurement, Bob's particle 3 will have been projected into one of the four pure states superposed in Eq. ( 5), according to the measurement outcome.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Each of these possible resultant states for Bob's EPR particle is related in a simple way to the original state IP) which Alice sought to teleport.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Thus an accurate teleportation can be achieved in all cases by having Alice tell Bob the classical outcome of her mea- surement, after which Bob applies the required rotation to transform the state of his particle into a replica of IP).”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“It follows that, regardless of the unknown state I/i), the four measurement outcomes are equally likely, each occurring with probability 1/4.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“In the three other cases, Bob must apply one of the unitary operators in Eq. ( 6), corresponding, respectively, to 180' rotations around the z, x, and y axes, in order to”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Knowing this, Bob can convert the state of his EPR particle into an exact replica of the unknown state ]P) which Alice destroyed.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Having received these two transmissions, Bob can construct an accurate replica of IP).”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“The teleportation of lg) from Alice to Bob has the side effect of producing two bits of random classical information, uncorrelated to lg), which are left behind at the end of the process.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Then, after teleportation, particles 0 and 3 would be left in a singlet state, even though they had originally belonged to separate EPR pairs.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“It can readily be seen that after Alice's measurement, Bob's particle 3 will be related to IP&) by four fixed unitary operations if and only if IT23) has the form”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“For any lg), this is a maximally mixed state, giving no information about the input state IP).”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Here, we show that EPR correlations can nevertheless assist in the”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Below, we show how Alice can divide the full information encoded in I&/) into two parts, one purely classical and the other purely non- classical, and send them to Bob through two diferent channels.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“Of course Alice's original IP) is destroyed in the process, as it must be to obey the no-cloning theorem.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“In particular, it cannot take place instantaneously or over a spacelike in- terval, because it requires, among other things, sending a classical message from Alice to Bob.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“To do so the sender,”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Clearly any direct prod- uct state of particles 2 and 3 is useless, because for such states manipulation of particle 2 has no effect on what can be predicted about particle 3.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“Unlike the quantum correlation of Bob's EPR particle 3 to Alice's particle 2, the result of Alice's measurement is purely classical information, which can be transmit- ted, copied, and stored at will in any suitable physical medium.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Later we show that a full two bits of classical channel capacity are neces- sary.”
- Also stated in: § Abstract · plain
“therefore reliable teleportation of a two-state particle cannot be achieved with a classical channel of less than two bits of capacity.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“The classical message plays an essential role in telepor- tation.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Teleportation and 4-way coding can be seen as variations on the same un- derlying process, illustrated by the spacetime diagrams in Fig. 1.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Since teleportation is a linear operation applied to the quantum state IP), it will work not only with pure states, but also with mixed or entangled states.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“Alice could then teleport quantum states to Bob over arbitrarily great distances, without worrying about the eEects of attenuation and noise on, say, a single photon sent through a long op- tical Aber.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“By the same argument, reliable teleportation of an ¹tateparticle requires a classical channel of 21og~ (AI') bits capacity.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“It could not be otherwise, be- cause any correlation between the input and the guessed output could be used to send a superluminal signal.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Alice and Bob would only need a stockpile of EPR pairs (whose reliability can be tested by violations of Bell's inequality [7]) and a channel capable of carry- ing robust classical messages.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
What the sources say
- Not matchedcites [7] 7. J. S. Bell, Physics (Long Island City, N. Y. ) 1, 195 (1964);
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“Accurate teleportation using a classical channel of any lesser capacity would allow Bob to send superlumi- nal messages through the teleported particle, by guessing the classical message before it arrived (cf.Fig. 2).”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“In the case of the first (singlet) outcome, Bob's state is the same except for an irrelevant phase factor, so Bob need do nothing further to produce a replica of Alice's spin.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“Alice makes a joint measurement on her EPR particle and the unknown quantum system, and sends Bob the classical result of this measurement.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“Alice, on the other hand, is left with particles 1 and 2 in one of the states 4~2 ) or IC~~), without any trace of (+) ' (+) the original state I P) .”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“States which are less entangled reduce the fidelity of teleportation, and/or the range of states lg) that can be accurately tele- ported.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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“P) will be reconstructed (in the spin-2 case) as a ran- dom mixture of the four states of Eq. ( 6).”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“It is known that instantaneous information transfer is definitely impossible [3].”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
What the sources say
- Not matchedcites [3] 3. A. Einstein, in Albert Einstein, Philosopher Scientist, - edited by P. A. Schilpp (Library of Living Philosophers, Evanston, 1949) p. 85.
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In the paper
“This”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
What the sources say
- Not matchedcites [5] 5. J. L. Park, Found. Phys. 1, 23 (1970).
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In the paper
“Finally, teleportation has the advantage of still being possible in situations where Alice and Bob, after sharing their EPR pairs, have wandered about independently and no longer know each others' locations.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“All of what we have said above can be generalized to systems having N & 2 orthogonal states.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✗ Based: failsProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
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In the paper
“This diagram is of interest because it can be used to show that a full two bits of classical channel capacity are necessary for accurate tele- portation of a two-state particle (cf.caption).”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“Although it is currently unfeasible to store separated EPR particles for more than a brief time, if it becomes feasible to do so, quantum teleportation could be quite useful.”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
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In the paper
“Trying to draw similar”
§ Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels > Abstract
Strength:hedged· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✗ Based: failsProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
The paper relies on this without support.
If Alice knows beforehand that the unknown state belongs to a given orthonormal set, she can make a measurement whose result will allow her to make an accurate copy.
“Only if Alice knows before- hand that ~qb) belongs to a given orthonormal set can she make a measurement whose result will allow her to make an accurate copy of [P).”
The paper relies on this without support.
If the possibilities for the unknown state include two or more nonorthogonal states, then no measurement will yield sufficient information to prepare a perfectly accurate copy.
“Conversely, if the possibilities for ~P) include two or more nonorthogonal states, then no measurement will yield sufhcient information to prepare a perfectly accurate copy.”
The paper relies on this without support.
In general, there is no way to learn the state vector of an unknown quantum system.
“Knowing the state vector ]P) itself would be sufficient information, but in general there is no way to learn it.”
Claims other papers make about this one
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The cited source says what the claim attributes to it.
In the citing paper
“Quantum teleportation (Bennett et al., 1993) enables a faithful transfer of an unknown quantum state from one location to another, using entangled states as a quantum channel.”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Bennett et al., 1993
The cited source says what the claim attributes to it.
In the citing paper
“The projection of two photons into a Bell state lies at the heart for many quantum information processing protocols, such as quantum dense coding (Bennett and Wiesner, 1992), quantum teleportation (Bennett et al., 1993), and entanglement swapping ( Żukowski et al., 1993).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Bennett et al., 1993
The cited source says what the claim attributes to it.
In the citing paper
“By exploiting entanglement one can efficiently encode classical messages (Bennett and Wiesner, 1992; section VI.A), transfer quantum information to a remote location (Bennett et al., 1993; section VI.B), entangle two remote particles that have no common past ( Żukowski et al., 1993; section VI.C), and purify a large ensemble in a less entangled states into a smaller ensemble with higher”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Bennett et al., 1993
The cited source says what the claim attributes to it.
In the citing paper
“The fascinating possibility of quantum teleportation was discovered by Bennett, Brassard, Crépeau, Jozsa, Peres, and Wootters (1993).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Bennett, Brassard, Crépeau, Jozsa, Peres, and Wootters (1993)
The cited source says what the claim attributes to it.
In the citing paper
“This is the case when, as already remarked by Bennett et al. (1993), particle 1 itself is a member of an entangled pair, ultimately leading to entanglement swapping ( Żukowski et al., 1993;Bose et al., 1998).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Bennett et al. (1993)
The cited source says what the claim attributes to it.
In the citing paper
“Some of the promising quantum communication protocols to expand the possibility of classical data transmission in quantum-based systems include quantum key distribution (QKD) [126,127], quantum teleportation [128] and dense coding [129].”
From Quantum Machine Learning for 6G Communication Networks: State-of-the-Art and Vision for the Future (2019) · cites this paper as [129]
The check wasn’t confident either way, so it gives no verdict — never disputed.
In the citing paper
“Several realizations of the RRDPS protocol have recently been demonstrated experimentally using time-bin phase encoding [103][104][105][106] and using transverse spatial modes [107].”
From Two-photon interference: the Hong–Ou–Mandel effect (2021) · cites this paper as [107]
Experimental — accuracy not yet measuredIn the citing paper
“Other unique quantum phenomena like 'teleportation' [30] could also be investigated.”
From Two-bit gates are universal for quantum computation (1995) · cites this paper as [30]
In the citing paper
“Since quantum teleportation [14] rests entirely on Bell's Theorem, then this and all research based upon quantum teleportation requires reassessment.”
From EPR Correlations Using Quaternion Spin (2024) · cites this paper as [14]
In the citing paper
“Fortunately, the success probability of the nondeterministic CNOT can be boosted by harnessing quantum teleportation [12]-a process whereby the unknown state of a qubit can be transfered to another qubit.”
From Optical Quantum Computing (2007) · cites this paper as [12]
In the citing paper
“Bennett et al. [1] have suggested that it is possible to transfer the quantum state of a particle onto another particle - the process of quantum teleportation - provided one does not get any information about the state in the course of this transformation.”
From Experimental quantum teleportation (1997) · cites this paper as [1]
In the citing paper
“Quantum physics predicts [1] that once particles 1 and 2 are projected into | ψ -〉 12 , particle 3 is instantaneously projected into the initial state of particle 1.”
From Experimental quantum teleportation (1997) · cites this paper as [1]
In the citing paper
“Although the projection postulate in quantum mechanics seems to bring Alice's attempts to provide Bob with the state | ψ 〉 to a halt, it was realised by Bennett et al. [1] that precisely this projection postulate enables teleportation of | ψ 〉 from Alice to Bob.”
From Experimental quantum teleportation (1997) · cites this paper as [1]
In the citing paper
“It is now well known that the photons produced via the down-conversion process share nonclassical correlations [7].”
From Ultrabright source of polarization-entangled photons (1999) · cites this paper as [7]
In the citing paper
“Using teleportation, an arbitrary unknown qubit can be faithfully transmitted via a pair of maximally-entangled qubits ( e.g. two spin1 2 particles in a pure singlet state) previously shared between sender and receiver, and a 2-bit classical message from the sender to the receiver.”
From Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels (1996) · cites this paper as [1]
In the citing paper
“To complete the G min gate set so that we can implement arbitrary quantum computations, it suffices to add HAD and preparation of the state | π/ 8 〉 = cos( π/ 8) | 0 〉 + sin( π/ 8) | 1 〉 . 26, 27”
From Quantum computing with realistically noisy devices (2005) · cites this paper as [26]
In the citing paper
“While | φ 3 〉 corresponds to a GHZ state of three qubits [7]”
From Persistent Entanglement in Arrays of Interacting Particles (2001) · cites this paper as [7]
In the citing paper
“Be it in quantum computation [1,2], teleportation [3] or quantum cryptography [4], entanglement is viewed as an important resource and, as such, must be quantified.”
From Measures and dynamics of entangled states (2005) · cites this paper as [3]
Citations
Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
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Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777
Proposed Experiment to Test Local Hidden-Variable Theories
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Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
Bennett, C. H., & Wiesner, S. J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2881 · Cited by 5,470
Self-citationA single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406
Self-citationExperimental Test of Bell's Inequalities Using Time- Varying Analyzers
Aspect, A., Dalibard, J., & Roger, G. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.1804 · Cited by 3,942
Quantum cryptography using any two nonorthogonal states
Bennett, C. H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.3121 · Cited by 3,069
Self-citationRapid solution of problems by quantum computation
Deutsch, D., & Jozsa, R. (1992) · Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences · doi:10.1098/rspa.1992.0167 · Cited by 2,700
Self-citationQuantum cryptography without Bell’s theorem
Bennett, C. H., Brassard, G., & Mermin, N. D. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.557 · Cited by 2,536
Self-citationWiesner, S. (1983) · ACM SIGACT News · doi:10.1145/1008908.1008920 · Cited by 1,520
Flagged first, then by citations
Research works printed but not linked: 3
- A. Shimony, 1984, Proceedings of the International Symposium on Foundations of Quantum Theory /
- J. S. Bell, 1964, N.Y.), 1, 195
- C. H. Bennett, 1984, Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India
Cited by
Sorted by citations
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515
(2007) · Project Muse (Johns Hopkins University) · Cited by 7,214
A scheme for efficient quantum computation with linear optics
Knill, E., Laflamme, R., & Milburn, G. J. (2001) · Nature · doi:10.1038/35051009 · Cited by 5,880
Experimental quantum teleportation
Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., & Zeilinger, A. (1997) · Nature · doi:10.1038/37539 · Cited by 5,545
Metadata
- Authors
- Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-03-29
- Volume
- 70
- Issue
- 13
- Pages
- 1895-1899
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1978553093
- Cited by
- 13,703
- References
- 15
- Citations by year
- 2026: 437 · 2025: 724 · 2024: 696 · 2023: 708 · 2022: 628 · 2021: 640 · 2020: 571 · 2019: 598 · 2018: 477 · 2017: 497 · 2016: 545 · 2015: 500 · 2014: 492 · 2013: 526 · 2012: 492
- FWCI
- 42.66
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum teleportation, unknown quantum states, Einstein-Podolsky-Rosen correlations, EPR pairs, classical information, joint measurement, quantum state tomography, quantum entanglement
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.
A language model drew the claims from the paper on 2026-10-11, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-10-11 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
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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