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
Advances in Quantum Cryptography
Stefano Pirandola,Ulrik L. Andersen,Leonardo Banchi,Mario Berta,Darius Bunandar,Roger Colbeck,Dirk Englund,Tobias Gehring,Cosmo Lupo,Carlo Ottaviani,Jason Pereira,Mohsen Razavi,Jesni Shamsul Shaari,Marco Tomamichel,Vladyslav C. Usenko,Giuseppe Vallone,Paolo Villoresi,Petros Wallden +17 more
TL;DR: Quantum cryptography is arguably the fastest growing area in quantum information science as mentioned in this paper, and many quantum key distribution protocols have been proposed, both theoretically and experimentally, over the last few decades.
Journal ArticleDOI
Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement
TL;DR: It is proved that bound entangled states cannot help increase the distillable entanglement of a state beyond its regularized entanglements of formation assisted by bound entangling.
Journal ArticleDOI
Fundamentals of quantum information theory
TL;DR: In this paper, the authors give a self-contained introduction to the conceptional and mathematical foundations of quantum information theory, including entanglement measures, channel capacities, relations between both, additivity and continuity properties and asymptotic rates of quantum operations.
Journal ArticleDOI
Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
TL;DR: In this article, the authors present a review of quantum computation with neutral atom qubits and examine Rydberg mediated gate protocols and fidelity for two-and multi-qubit interactions.
Journal ArticleDOI
Fault-Tolerant Error Correction with Efficient Quantum Codes.
TL;DR: This work exhibits a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes, derived using a recently introduced group-theoretic framework for unifying all known quantum codes.
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.