Search Results - "Shor, Peter W."
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Criticality without frustration for quantum spin-1 chains
Published in Physical review letters (16-11-2012)“…Frustration-free (FF) spin chains have a property that their ground state minimizes all individual terms in the chain Hamiltonian. We ask how entangled the…”
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The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels
Published in IEEE transactions on information theory (01-05-2014)“…Dual to the usual noisy channel coding problem, where a noisy (classical or quantum) channel is used to simulate a noiseless one, reverse Shannon theorems…”
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Equivalence of additivity questions in quantum information theory
Published in Communications in mathematical physics (01-04-2004)Get full text
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Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
Published in SIAM review (1999)“…A digital computer is generally believed to be an efficient universal computing device; that is, it is believed to be able to simulate any physical computing…”
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5
Randomizing quantum states: Constructions and applications
Published in Communications in mathematical physics (01-09-2004)Get full text
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Supercritical entanglement in local systems: Counterexample to the area law for quantum matter
Published in Proceedings of the National Academy of Sciences - PNAS (22-11-2016)“…Quantum entanglement is the most surprising feature of quantum mechanics. Entanglement is simultaneously responsible for the difficulty of simulating quantum…”
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The Quantum Double Model with Boundary: Condensations and Symmetries
Published in Communications in mathematical physics (01-09-2011)“…Associated to every finite group, Kitaev has defined the quantum double model for every orientable surface without boundary. In this paper, we define…”
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High Performance Single-Error-Correcting Quantum Codes for Amplitude Damping
Published in IEEE transactions on information theory (01-10-2011)“…We construct families of high performance quantum amplitude damping codes. All of our codes are nonadditive and most modestly outperform the best possible…”
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Bounding the forward classical capacity of bipartite quantum channels
Published in IEEE transactions on information theory (01-05-2023)“…We introduce various measures of forward classical communication for bipartite quantum channels. Since a point-to-point channel is a special case of a…”
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Additive Classical Capacity of Quantum Channels Assisted by Noisy Entanglement
Published in Physical review letters (19-05-2017)“…We give a capacity formula for the classical information transmission over a noisy quantum channel, with separable encoding by the sender and limited resources…”
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11
Unextendible product bases, uncompletable product bases and bound entanglement
Published in Communications in mathematical physics (01-07-2003)Get full text
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12
Superadditivity of the Classical Capacity with Limited Entanglement Assistance
Published in Physical review letters (28-07-2017)“…Finding the optimal encoding strategies can be challenging for communication using quantum channels, as classical and quantum capacities may be superadditive…”
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13
Superadditivity in Trade-Off Capacities of Quantum Channels
Published in IEEE transactions on information theory (01-06-2019)“…In this paper, we investigate the additivity phenomenon in the quantum dynamic capacity region of a quantum channel for trading the resources of classical…”
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14
Simple proof of security of the BB84 quantum key distribution protocol
Published in Physical review letters (10-07-2000)“…We prove that the 1984 protocol of Bennett and Brassard (BB84) for quantum key distribution is secure. We first give a key distribution protocol based on…”
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Separation of Out-Of-Time-Ordered Correlation and Entanglement
Published in PRX quantum (01-06-2021)“…The out-of-time-ordered correlation (OTOC) and entanglement are two physically motivated and widely used probes of the “scrambling” of quantum information, a…”
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Oblivious remote state preparation
Published in Physical review letters (28-03-2003)“…We characterize the class of remote state preparation (RSP) protocols that use only forward classical communication and entanglement, deterministically prepare…”
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Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel
Published in IEEE transactions on information theory (01-12-2008)“…Error correction procedures are considered which are designed specifically for the amplitude damping channel. Amplitude damping errors are analyzed in the…”
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Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
Published in IEEE transactions on information theory (01-10-2002)“…The entanglement-assisted classical capacity of a noisy quantum channel (C/sub E/) is the amount of information per channel use that can be sent over the…”
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Local Rule-Based Theory of Virus Shell Assembly
Published in Proceedings of the National Academy of Sciences - PNAS (02-08-1994)“…A local rule-based theory is developed which shows that the self-assembly of icosahedral virus shells may depend on only the lower-level interactions of a…”
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20
Quantum information theory The bits don't add up
Published in Nature physics (01-04-2009)“…A counterexample to the 'additivity question', the most celebrated open problem in the mathematical theory of quantum information, casts doubt on the…”
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