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Conditions for a Class of Entanglement Transformations

Nielsen, M. A. (1999) Conditions for a Class of Entanglement Transformations. Physical Review Letters, 83 (2). pp. 436-439. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:NIEprl99

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Abstract

Suppose Alice and Bob jointly possess a pure state, |ψ〉. Using local operations on their respective systems and classical communication it may be possible for Alice and Bob to transform |ψ〉 into another joint state |φ〉. This Letter gives necessary and sufficient conditions for this process of entanglement transformation to be possible. These conditions reveal a partial ordering on the entangled states and connect quantum entanglement to the algebraic theory of majorization. As a consequence, we find that there exist essentially different types of entanglement for bipartite quantum systems.


Item Type:Article
Additional Information:©1999 The American Physical Society Received 2 December 1998 I thank Howard Barnum, who introduced me to the beautiful subject of majorization, Dorit Aharonov and Bill Wootters, whose words and papers convinced me that entanglement for its own sake is a deeply interesting subject, and Ike Chuang, Chris Fuchs, Julia Kempe, and John Preskill for helpful discussions. This work was supported by DARPA through the Quantum Information and Computing Institute (QUIC) administered through the ARO.
Record Number:CaltechAUTHORS:NIEprl99
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:NIEprl99
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.83.436
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1970
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:27 Feb 2006
Last Modified:18 Sep 2014 18:11

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