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
Reads0
Chats0
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
More filters
Journal ArticleDOI
Quantumness in the context of) resource theories
TL;DR: In this article, the authors review the basic idea behind resource theories, where they quantify quantum resources by specifying a restricted class of operations and quantify the worth of the resource by the relative entropy distance to the set of free states, and under certain conditions, this is a unique measure which quantifies the rate of state to state transitions.
Journal ArticleDOI
Entanglement certification from theory to experiment
TL;DR: The most commonly used quantifiers of entanglement are discussed and the state-of-the-art detection and certification methods are surveyed, including their respective underlying assumptions, from both a theoretical and an experimental point of view.
Journal ArticleDOI
Violating Bell's inequalities in vacuum
TL;DR: In this article, the ground state entanglement of a relativistic free scalar field is directly probed in a controlled manner, where a pair of initially nonentangled detectors locally interact with the vacuum for a finite duration, such that the two detectors remain causally disconnected.
Journal ArticleDOI
Entanglement Distillation between Solid-State Quantum Network Nodes
Norbert Kalb,Andreas Reiserer,Peter C. Humphreys,Jacob Bakermans,Sten J. Kamerling,Naomi H. Nickerson,Simon C. Benjamin,Daniel J. Twitchen,Matthew Markham,Ronald Hanson +9 more
TL;DR: The heralded generation of two copies of a remote entangled state is demonstrated through single-photon–mediated entangling of the electrons and robust storage in the nuclear spins and single-shot measurements herald the distillation of an entangled state with increased fidelity that is available for further use.
Journal ArticleDOI
The Ion Trap Quantum Information Processor
TL;DR: An introductory review of the linear ion trap is given in this paper, with particular regard to its use for quantum information processing, and the discussion aims to bring together ideas from information theory and experimental ion trapping, to provide a resource to workers unfamiliar with one or the other of these subjects.
References
More filters
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.
Journal ArticleDOI
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.