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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Single-photon-assisted entanglement concentration of partially entangled multiphoton W states with linear optics
TL;DR: In this article, a single-photon assisted entanglement concentration protocol (ECP) was proposed for nonlocal Nphoton systems in a partially entangled pure W-class state with linear optical elements.
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Quantum networks based on color centers in diamond
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Entanglement of formation for an arbitrary two-mode Gaussian state.
Paulina Marian,Tudor A. Marian +1 more
TL;DR: The optimal pure-state decomposition of any two-mode Gaussian state is written and it is shown that its entanglement of formation coincides with the Gaussian one.
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Standard forms of noisy quantum operations via depolarization
TL;DR: In this article, completely positive maps that describe noisy, multiparticle unitary operations are depolarized to a standard form with a reduced number of parameters describing the noise process in such a way that the noiseless (unitary) part of the evolution is not altered.
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Probabilistic teleportation via a non-maximally entangled GHZ state
FengLi Yan,Tao Yan +1 more
TL;DR: In this paper, a scheme for probabilistic teleportation via a non-maximally entangled GHZ state is presented, where the teleportation process requires the sender to make a generalized Bell state measurement, the cooperator to perform a generalized X basis measurement, and the receiver to perform collective unitary transformation and make a measurement on an auxiliary particle.
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.
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.