Conditions for a Class of Entanglement Transformations
- 12 July 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 83 (2), 436-439
- https://doi.org/10.1103/physrevlett.83.436
Abstract
Suppose Alice and Bob jointly possess a pure state, . Using local operations on their respective systems and classical communication it may be possible for Alice and Bob to transform into another joint state . 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.
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