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
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Entanglement across a transition to quantum chaos
Carlos Mejía-Monasterio,Guliano Benenti,Guliano Benenti,Gabriel G. Carlo,Giulio Casati,Giulio Casati +5 more
TL;DR: In this article, the relation between entanglement and quantum chaos in one-and two-dimensional spin-1/2 lattice models was studied, and it was shown that the behavior of the entropy is related to mixing of the noninteracting eigenfunctions rather than to the transition to chaos.
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Purification of Logic-Qubit Entanglement.
Lan Zhou,Yu-Bo Sheng +1 more
TL;DR: This paper investigates the first entanglement purification protocol for logic-qubitEntanglement, and shows that both the bit-flip error and phase-Flip error in logic- qubit entanglements can be well purified and can be completely corrected.
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Coherence measures and optimal conversion for coherent states
TL;DR: The optimal conversion of coherent states under incoherent operations is presented which sheds some light on the coherence of a single copy of a pure state.
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Quantum Key Distribution: A Networking Perspective
Miralem Mehic,Marcin Niemiec,Stefan Rass,Jiajun Ma,Momtchil Peev,Alejandro Aguado,Vicente Martin,Stefan Schauer,Andreas Poppe,Christoph Pacher,Miroslav Voznak +10 more
TL;DR: This article surveys previously applied methods, showing techniques for deploying QKD networks and current challenges of QKKD networking, and focuses on the network aspect by considering network organization, routing and signaling protocols, simulation techniques, and a software-defined QkD networking approach.
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Quantum impurity entanglement
TL;DR: In this paper, the von Neumann entanglement in a single channel Kondo model with an impurity was studied using analytic methods as well as large scale numerical density matrix renormalization group methods.
References
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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.