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@inbook{747041,
author = {Ziman, Mário and Bužek, Vladimír},
address = {Amsterdam},
booktitle = {Quantum Communication and Security (edited by Marek Żukowski, Sergei Kilin, Janusz Kowalik)},
keywords = {quantum information processing; entanglement},
language = {eng},
location = {Amsterdam},
isbn = {978-1-58603-749-9},
note = {NATO Science for Peace and Security Series, D: Information and Communication Security},
pages = {196-204},
publisher = {IOP Press},
title = {Entanglement measures: state ordering vs local operations},
year = {2007}
}
TY - CHAP
ID - 747041
AU - Ziman, Mário - Bužek, Vladimír
PY - 2007
TI - Entanglement measures: state ordering vs local operations
VL - Vol. 11
PB - IOP Press
CY - Amsterdam
SN - 9781586037499
N1 - NATO Science for Peace and Security Series, D: Information and Communication Security
KW - quantum information processing
KW - entanglement
N2 - 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.
ER -
ZIMAN, Mário a Vladimír BUŽEK. Entanglement measures: state ordering vs local operations. In \textit{Quantum Communication and Security (edited by Marek \.Zukowski, Sergei Kilin, Janusz Kowalik)}. Amsterdam: IOP Press, 2007, s.~196-204. Vol. 11. ISBN~978-1-58603-749-9.
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