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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Information leakage resistant quantum dialogue against collective noise
TL;DR: Decoherence-free subspace (DFS) is used to erase the influence from two kinds of collective noise, i.e., collective-dephasing noise and collective-rotation noise, where each logical qubit is composed of two physical qubits and free from noise.
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Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy
Eric A. Carlen,Elliott H. Lieb +1 more
TL;DR: In this article, lower bounds for the entanglement of formation Ef(ρ12) and the squashed Entanglement Esq(ρ 12) in terms of the conditional entropy S12 − S1 were shown.
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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 paper, 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.
Journal ArticleDOI
Noisy processing and distillation of private quantum States.
Joseph M. Renes,Graeme Smith +1 more
TL;DR: A simple security proof for prepare and measure quantum key distribution protocols employing noisy processing and one-way postprocessing of the key by showing that the security of such a protocol is equivalent to that of an associated key distribution protocol in which a more general private state is distilled.
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Entanglement concentration for arbitrary unknown less-entangled three-photon W states with linear optics
Tie-Jun Wang,Gui-Lu Long +1 more
TL;DR: In this paper, the authors presented two three-photon entanglement concentration protocols (ECPs) for an arbitrary unknown unknown less-entangled W-class state, resorting to linear optical elements.
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.