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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Quantum Correlations beyond Entanglement and Discord
S. Köhnke,Elizabeth Agudelo,M. Schünemann,O. Schlettwein,Werner Vogel,Jan Sperling,Boris Hage +6 more
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Dynamic Group Multi-party Quantum Key Agreement.
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Feasible time-bin entanglement purification based on sum-frequency generation.
TL;DR: This paper presents the first entanglement purification protocol (EPP) for time-bin entangled state, which does not require the sophisticated controlled-not (CNOT) gate or similar operations, and it uses the feasible sum-frequency generation (SFG) to perform the purification.
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Long distance quantum communication over a noisy channel
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Quantum discord protection from amplitude damping decoherence.
Jiwon Yune,Kang-Hee Hong,Hyang-Tag Lim,Jong-Chan Lee,Osung Kwon,Sang-Wook Han,Yong-Su Kim,Sung Moon,Yoon-Ho Kim +8 more
TL;DR: In this article, the authors study the influence of amplitude damping decoherence on entropic and geometric discord measures and show that weak measurement and quantum measurement reversal can effectively protect quantum discord from amplitude-dampening decosherence, enabling distributed quantum correlation between two remote parties in a noisy environment.
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.