Physics – Quantum Physics
Scientific paper
2001-10-08
Phys. Rev.A 66, (2002) 022309
Physics
Quantum Physics
a revised version
Scientific paper
10.1103/PhysRevA.66.022309
It is well known that any entangled mixed state in $2\otimes 2$ systems can be purified via infinite copies of the mixed state. But can one distill a pure maximally entangled state from finite copies of a mixed state in any bipartite system by local operation and classical communication? This is more meaningful in practical application. We give a necessary and sufficient condition of this distillability. This condition can be expressed as: there exists distillable-subspaces. According to this condition, one can judge whether a mixed state is distillable or not easily. We also analyze some properties of distillable-subspaces, and discuss the most efficient purification protocols. Finally, we discuss the distillable enanglement of two-quibt system for the case of finite copies.
Chen Ping-Xing
Huang Ming-Qiu
Li Cheng-zu
Liang Lin-Mei
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