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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Distributed wireless quantum communication networks with partially entangled pairs
Xu-Tao Yu,Zai-Chen Zhang,Xu Jin +2 more
TL;DR: This work shows that multi-hop teleportation on distributed wireless quantum networks with partially entangled pairs is feasible and not necessary for the quantum path to be consistent with the classical path.
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Controlled bidirectional remote preparation of three-qubit state
TL;DR: A novel scheme for controlled bidirectional remote state preparation by using thirteen-qubit entangled state as the quantum channel, where both Alice and Bob transfer an arbitrary three-qubits state to each other simultaneously via the control of Charlie is presented.
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Nonasymptotic assisted distillation of quantum coherence
TL;DR: In this article, the authors characterize the operational task of environment-assisted distillation of quantum coherence under different sets of free operations when only a finite supply of copies of a given state is available.
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Dynamics of entanglement in two-qubit open system interacting with a squeezed thermal bath via dissipative interaction
TL;DR: In this article, the dynamics of entanglement in a two-qubit system interacting with a squeezed thermal bath via a dissipative system-reservoir interaction with the system and reservoir assumed to be in a separable initial state was studied by making use of concurrence as well as a recently introduced measure of mixed state entenglement via a probability density function.
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Remote quantum clock synchronization without synchronized clocks
Ebubechukwu O. Ilo-Okeke,Ebubechukwu O. Ilo-Okeke,Ebubechukwu O. Ilo-Okeke,Louis Tessler,Jonathan P. Dowling,Jonathan P. Dowling,Jonathan P. Dowling,Tim Byrnes +7 more
TL;DR: Ebubechukwu Ilo-Okeke and colleagues show that when the parties are out of sync the purification generates states that account for the discrepancy and then can be used for synchronisation, which closes the loophole for entanglement based quantum clock synchronization protocols.
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.