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

Abstract

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.

to appear in PRA

References in corpus (5)

• Feasible Entanglement Purification for Quantum Communication
• Experimental Nonlocality Proof of Quantum Teleportation and Entanglement Swapping
• Local Hidden Variable Theories for Quantum States
• A Necessary And Sufficient Condition of Distillability with unite fidelity from Finite Copies of a Mixed State: The Most Efficient Purification Protocol
• Impossibility Criterion for Obtaining Pure Entangled States From Mixed States By Purifying Protocols

Cited by in corpus (1)

• Effect of weak measurement on entanglement distribution over noisy channels