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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Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements
Yu-Xiao Jiang,Peng-Liang Guo,Cheng-Yan Gao,Haibo Wang,Faris Alzahrani,Aatef Hobiny,Fu-Guo Deng,Fu-Guo Deng +7 more
TL;DR: In this article, a self-error-rejecting photonic qubittransmission scheme for both the polarization and spatial states of photon systems transmitted over collective noise channels is presented.
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Multiparty-controlled Joint Remote Preparation of an Arbitrary m-qudit State with d-dimensional Greenberger-Horne-Zeilinger States
TL;DR: In this article, a multiparty-controlled joint remote preparation of an arbitrary m-qudit state by using d-dimensional Greenberger-Horne-Zeilinger (GHZ) states as the quantum channel is presented.
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Feasible measurement-based entanglement purification in linear optics
TL;DR: In this article, a measurement-based entanglement purification protocol (MB-EPP) is proposed for linear optics. But, the method does not require local two-qubit gates or single-particle measurements on the noisy pairs and may offer significant advantages compared with the gatebased EPPs.
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Enhancing teleportation fidelity by means of weak measurements or reversal
TL;DR: In this paper, the enhancement of teleportation fidelity by weak measurement or quantum measurement reversal is investigated, and the improvement could not be attributed to the increasing of entanglement, quantum discord, classical correlation or total correlation.
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Unity fidelity multiple teleportation using partially entangled states
TL;DR: Two new MTPs are presented which, under certain situations, are more efficient than the original one, requiring half of the number of its teleportations to achieve at least the same probability of success.
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.
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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.