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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Probabilistic Multiparty Joint Remote Preparation of an Arbitrary m-Qubit State with a Pure Entangled Channel Against Collective Noise
TL;DR: This scheme has the advantage of having high success probability for multiparty joint remote preparation of an arbitrary m-qubit state via pure entangled states.
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Fidelity of quantum teleportation in correlated quantum channels
TL;DR: There is a threshold value above which the source state even subjected to decoherence becomes useful for quantum teleportation, and an effective strategy to enhance quantum teleportation fidelity under decoherent channels by means of filtering operation is developed.
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Attacking the Quantum Internet
Takahiko Satoh,Shota Nagayama,Shigeya Suzuki,Takaaki Matsuo,Michal Hajdušek,Rodney Van Meter +5 more
TL;DR: In this article, the authors discuss and classify attacks on quantum repeaters, which will serve roles similar to those of classical Internet routers, and point out attack vectors, then analyze attacks in terms of confidentiality, integrity, and availability.
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Exponential Sensitivity and its Cost in Quantum Physics.
TL;DR: In this paper, it was shown that chaotic behaviour is a rather generic feature in state selective protocols: exponential sensitivity can exist for all initial states in an experimentally realisable optical scheme.
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Multi-copy nested entanglement purification for quantum repeaters
TL;DR: A multi-copy nested entanglement purification protocol (EPP) that can distill a high fidelity entangled photon pair from multiple copies of low fidelity photon pairs and may have potential application in future long-distance quantum communication.
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.