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Concentrating partial entanglement by local operations (1995)
| Citations: | 178 - 6 self |
BibTeX
@MISC{Bennett95concentratingpartial,
author = {Charles H. Bennett and Herbert J. Bernstein and Sandu Popescu and Benjamin Schumacher},
title = {Concentrating partial entanglement by local operations },
year = {1995}
}
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Abstract
If two separated observers are supplied with entanglement, in the form of n pairs of particles in identical partly-entangled pure states, one member of each pair being given to each observer; they can, by local actions of each observer, concentrate this entanglement into a smaller number of maximally-entangled pairs of particles, for example Einstein-Podolsky-Rosen singlets, similarly shared between the two observers. The concentration process asymptotically conserves entropy of entanglement—the von Neumann entropy of the partial density matrix seen by either observer—with the yield of singlets approaching, for large n, the base-2 entropy of entanglement of the initial partly-entangled pure state. Conversely, 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. Recent results in quantum information theory have shed light on the channel resources needed for faithful transmission of quantum states, and the extent to which these resources
Keyphrases
partial entanglement local operation faithful transmission quantum state concentration process channel resource sole source local action partial density matrix identical partly-entangled pure state mixed entangled state separated observer initial partly-entangled pure state base-2 entropy von neumann entropy example einstein-podolsky-rosen singlet recent result quantum information theory maximally-entangled pair
