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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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In the paper
“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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In the paper
“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 paper
“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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In the paper
“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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In the paper
“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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- Probably not a substantial claim. 8
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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
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
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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
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim. It may state two separate claims as one.
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In the paper
“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
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
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In the paper
“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
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
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In the paper
“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
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✓ Based: passesProbably not a substantial claim. The paper’s conclusions may not depend on it.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
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
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
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
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
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
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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]
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“Such systems have been used to efficiently create maximally entangled states of N two-level atoms [6], which are important resources for quantum information processing [7, 8] and quantum communication [9, 10], for example.”
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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
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