Conditions for a Class of Entanglement Transformations

  title={Conditions for a Class of Entanglement Transformations},
  author={Michael A. Nielsen},
  journal={Physical Review Letters},
  • M. Nielsen
  • Published 20 November 1998
  • Physics
  • Physical Review Letters
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… 
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