Strong monotonicity in mixed-state entanglement manipulation

Details Strong monotonicity in mixed-state entanglement manipulation Strong monotonicity in mixed-state entanglement manipulation

2006-03-20

arxiv.org/abs/quant-ph/0603162v2

Phys. Rev. A 73, 062308 (2006)

Physics

Quantum Physics

6 pages and 1 figure. A brief discussion about the connection to asymptotic distillability was added

Scientific paper

10.1103/PhysRevA.73.062308

A strong entanglement monotone, which never increases under local operations and classical communications (LOCC), restricts quantum entanglement manipulation more strongly than the usual monotone since the usual one does not increase on average under LOCC. We propose new strong monotones in mixed-state entanglement manipulation under LOCC. These are related to the decomposability and 1-positivity of an operator constructed from a quantum state, and reveal geometrical characteristics of entangled states. These are lower bounded by the negativity or generalized robustness of entanglement.

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