Publication details

 

Entanglement measures: state ordering vs local operations

Basic information
Original title:Entanglement measures: state ordering vs local operations
Authors:Mário Ziman, Vladimír Bužek
Further information
Citation:ZIMAN, Mário - BUŽEK, Vladimír. Entanglement measures: state ordering vs local operations. In Quantum Communication and Security (edited by Marek Żukowski, Sergei Kilin, Janusz Kowalik). Amsterdam : IOP Press, 2007. Vol. 11, ISBN 978-1-58603-749-9, pp. 196-204. NATO Science for Peace and Security Series, D: Information and Communication Security.
Original language:English
Field:Informatika
Type:Chapter of a book
Keywords:quantum information processing; entanglement

A set of all states of a bi-partite quantum system can be divided into subsets each of which contains states with the same degree of entanglement. In this paper we address a question whether local operations (without classical communication) affect the entanglement-induced state ordering. We show that arbitrary unilocal channel (i.e., a channel that acts on one sub-system of a bi-partite system only) might change the ordering for an arbitrary nontrivial measure of entanglement. A slightly weaker result holds for the maximally entangled states. In particular, the maximally entangled states might not remain the most entangled ones at the output of a unilocal noise channel.

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