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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Linear-Optics-Based Entanglement Concentration of Four-Photon χ -type States for Quantum Communication Network
Tao Li,Fu-Guo Deng,Fu-Guo Deng +2 more
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Fault-Tolerate Three-Party Quantum Secret Sharing over a Collective-Noise Channel
LI Chun-Yan,Li Yan-Song +1 more
TL;DR: A fault-tolerate three-party quantum secret sharing (QSS) scheme over a collective-noise channel that uses single-photon measurements to rebuild Alice's information and detect the security by the agents Bob and Charlie, not Bell-state measurements.
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Deterministic arbitrary multi-photon entanglement sharing via noisy channels
TL;DR: This work presents an efficient strategy for sharing multipartite polarization entanglement between distant locations via the noisy channel assisted by the time-bin degree of freedom, and demonstrates an entanglements purification protocol for the three-qubit Greenberge–Horne–Zeilinger state and anEntanglement distribution protocol forThe three- qubit W state.
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Efficient Computation of the Waiting Time and Fidelity in Quantum Repeater Chains
TL;DR: In this paper, two algorithms for determining the generation time and fidelity of the first generated entangled pair between the end nodes of a quantum repeater chain are presented, which can be used for the analysis of large quantum chain protocols and topologies of the future quantum internet.
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Purification of the concatenated Greenberger–Horne–Zeilinger state with linear optics
TL;DR: This paper describes anEntanglement purification protocol (EPP) for one type of logic qubit entanglement, named concatenated Greenberger–Horne–Zeilinger(C-GHZ) state, which requires some feasible linear optical elements and is feasible in the current experimental condition.
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.