Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
Charles H. Bennett,Gilles Brassard,Sandu Popescu,Benjamin Schumacher,John A. Smolin,William K. Wootters +5 more
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TLDR
Upper and lower bounds on the yield of pure singlets ($\ket{\Psi^-}$) distillable from mixed states $M$ are given, showing $D(M)>0$ if $\bra{Psi-}M\ket-}>\half$.Abstract:
Two separated observers, by applying local operations to a supply of not-too-impure entangled states (e.g., singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity (e.g., near-perfect singlets). These can then be used to faithfully teleport unknown quantum states from one observer to the other, thereby achieving faithful transmission of quantum information through a noisy channel. We give upper and lower bounds on the yield $D\left(M\right)$ of pure singlets $(|{\ensuremath{\Psi}}^{\ensuremath{-}}〉)$ distillable from mixed states $M$, showing $D\left(M\right)g0$ if $〈{\ensuremath{\Psi}}^{\ensuremath{-}}|M|{\ensuremath{\Psi}}^{\ensuremath{-}}〉g\frac{1}{2}$.read more
Citations
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Device-independent quantum secure direct communication against collective attacks
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TL;DR: The first device-independent quantum secure direct communication protocol (DI-QSDC) is put forward and its security and communication efficiency against collective attacks are analyzed and noiseless linear amplification (NLA) protocol and entanglement purification protocol (EPP) are modified.
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Deterministic teleportation of a quantum gate between two logical qubits
Kevin Chou,Jacob Blumoff,Jacob Blumoff,Christopher S. Wang,Philip Reinhold,Christopher Axline,Yvonne Y. Gao,Luigi Frunzio,Michel Devoret,Liang Jiang,Robert Schoelkopf +10 more
TL;DR: The teleportation of a controlled-NOT (CNOT) gate is experimentally demonstrated, which illustrates a compelling approach for implementing multi-qubit operations on logical qubits and indicates a promising path towards fault-tolerant quantum computation using a modular architecture.
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Joint remote state preparation
Ba An Nguyen,Jaewan Kim +1 more
TL;DR: In this paper, Alice, Bob and Charlie are three remote parties sharing the classical knowledge of a secret qubit state, and Alice and Bob share the knowledge of how to prepare the qubit states for Charlie.
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The minimal work cost of information processing
Philippe Faist,Frédéric Dupuis,Frédéric Dupuis,Frédéric Dupuis,Jonathan Oppenheim,Renato Renner +5 more
TL;DR: This work determines the minimal work required to carry out any logical process, for instance a computation, which is given by the entropy of the discarded information conditional to the output of the computation.
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Entanglement distribution over 300 km of fiber.
TL;DR: In this article, the distribution of time-bin entangled photon pairs over 300 km of optical fiber was reported, and the observed two-photon interference fringes exhibited a visibility of 84%.
References
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Journal ArticleDOI
Concentrating partial entanglement by local operations
TL;DR: Any pure or mixed entangled state of two systems can be produced by two classically communicating separated observers, drawing on a supply of singlets as their sole source of entanglement.
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Generalized privacy amplification
TL;DR: This paper provides a general treatment of privacy amplification by public discussion, a concept introduced by Bennett, Brassard, and Robert for a special scenario, and yields results on wiretap and broadcast channels for a considerably strengthened definition of secrecy capacity.