Distilling multipartite pure states from a finite number of copies of multipartite mixed states

Details Distilling multipartite pure states from a finite number of copies of multipartite mixed states Distilling multipartite pure states from a finite number of copies of multipartite mixed states

2003-11-14

arxiv.org/abs/quant-ph/0311095v1

Physics

Quantum Physics

to appear in PRA

Scientific paper

10.1103/PhysRevA.69.012308

This paper will address the question of the distillation of entanglement from a finite number of multi-partite mixed states. It is shown that if one can distill a pure entangled state from n copies of a mixed state $\sigma _{ABC...}$ there must be at least a subspace in whole Hilbert space of the all copies such that the projection of $\sigma_{ABC...}^{\otimes n}$ onto the subspace is a pure entangled state. We also show that the purification of entanglement or distillation of entanglement can be carried out by local joint projective measurements with the help of classical communication and local general positive operator valued measurements on a single particle, in principle. Finally we discuss experimental realizability of the entanglement purification.

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