Conditions for a Class of Entanglement Transformations
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.
 Publication:

Physical Review Letters
 Pub Date:
 July 1999
 DOI:
 10.1103/PhysRevLett.83.436
 arXiv:
 arXiv:quantph/9811053
 Bibcode:
 1999PhRvL..83..436N
 Keywords:

 Quantum Physics
 EPrint:
 4 pages. Title and some nomenclature changed. Minor errors fixed