"Entanglement measures: state ordering vs local operations" . "9"^^ . . . . "Quantum Communication and Security (edited by Marek \u017Bukowski, Sergei Kilin, Janusz Kowalik)" . "14330" . . . . "Amsterdam" . "Entanglement measures: state ordering vs local operations" . "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."@en . "quantum information processing; entanglement"@en . "Ziman, M\u00E1rio" . "978-1-58603-749-9" . . "420209" . "RIV/00216224:14330/07:00020705!RIV10-GA0-14330___" . "P(GA201/07/0603), Z(MSM0021622419)" . "IOP Press" . . . . . . . "RIV/00216224:14330/07:00020705" . . "225"^^ . "[3CC149B4A1A1]" . "Entanglement measures: state ordering vs local operations"@en . . "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." . "Vol. 11" . "2"^^ . "Bu\u017Eek, Vladim\u00EDr" . . "Entanglement measures: state ordering vs local operations"@en . "2"^^ . .