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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Protection of Telecloning Over Noisy Channels with Environment-Assisted Measurements and Weak Measurements
He-Jin Wu,Zhao Jin,Ai-Dong Zhu +2 more
TL;DR: In this article, a scheme for protecting and improving the fidelity of quantum telecloning over the amplitude damping (AD) channels was proposed, and the entanglement of the quantum channel among three separated participants can be recovered probabilistically.
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The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels
TL;DR: The local quantum uncertainty shows more robustness and exhibits, under phase reversal effect, revival and frozen phenomena, the same amount of non-classical correlations as are measured by entropic quantum discord and goes beyond negativity.
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Measurement-based entanglement purification for entangled coherent states
TL;DR: In this paper, a measurement-based entanglement purification protocol (MBEPP) for ECSs to distill some high-quality ECS from a large number of low-quality copies was proposed.
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Deterministic error correction for nonlocal spatial-polarization hyperentanglement
TL;DR: In this scheme, the spatial-polarization hyperentanglement is first encoded into a spatial-defined time-bin entanglement with identical polarization before it is transmitted over collective-noise channels, which leads to the error rejection of the spatial entangling during the transmission.
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Channel estimation with noisy entanglement
TL;DR: It turns out that within a specific range entanglement can serve as a nonclassical resource, however, this range is rather small, that isEntanglement is not very robust for this application.
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.