Entanglement measures: state ordering vs local operations

Details Entanglement measures: state ordering vs local operations Entanglement measures: state ordering vs local operations

2007-07-30

arxiv.org/abs/0707.4401v1

Quantum Communication and Security (edited by M.Zukowski et al.), pp. 196-204 (IOS Press, 2007)

Physics

Quantum Physics

9 pages, 1 figure, presented at NATO Advanced Research Workshop on Quantum Communication and Security (September 2006, Gdansk,

Scientific paper

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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