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
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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Measurement-Based Entanglement of Noninteracting Bosonic Atoms.
Brian Lester,Yiheng Lin,Mark O. Brown,Adam Kaufman,Randall J. Ball,Emanuel Knill,Emanuel Knill,Ana Maria Rey,Ana Maria Rey,Cindy Regal +9 more
TL;DR: In this article, Hong-Ou-Mandel interference was used to postselect a spin-singlet state after overlapping two atoms in distinct spin states on an effective beam splitter.
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Continuous-variable entanglement distillation of non-Gaussian mixed states
Ruifang Dong,Ruifang Dong,Mikael Lassen,Mikael Lassen,J. Heersink,J. Heersink,Christoph Marquardt,Christoph Marquardt,Radim Filip,Gerd Leuchs,Gerd Leuchs,Ulrik L. Andersen +11 more
TL;DR: This paper uses linear optical components, homodyne measurements, and classical communication to distill the entanglement, and finds that by using this method the entangled states can be probabilistically increased for some specific non-Gaussian noise channels.
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.
Journal ArticleDOI
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.