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Chinese Physics Letters

Entanglement Distillation for Mixed States Using Particle Statistics

黄晓理, 程丽红, 衣学喜

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

我们为纯状态扩大纠纷集中协议的想法(Phys。加快。Lett。88， 187903 ) 到为混合状态的纠纷蒸馏的案例。计划仅仅与粒子统计和本地操作工作，没有任何另外的相互作用的需要。当起始的状态是纯的时，我们证明纠缠的格言联盟者声明罐头外面被提取，否则提取的纠纷取决于起始的状态的密度矩阵的离开斜的元素。因为为密度矩阵的要求，提取的纠纷总是是不到一个，并且这结果是为 fermionic 和 bosonic 粒子的一样。Thedistillation 效率是起始的状态的斜元素的一个产品，它拿最大值 50% ，与那一样在为纯状态的情况中。

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我们为纯状态扩大纠纷集中协议的想法(Phys。加快。Lett。88， 187903 ) 到为混合状态的纠纷蒸馏的案例。计划仅仅与粒子统计和本地操作工作，没有任何另外的相互作用的需要。当起始的状态是纯的时，我们证明纠缠的格言联盟者声明罐头外面被提取，否则提取的纠纷取决于起始的状态的密度矩阵的离开斜的元素。因为为密度矩阵的要求，提取的纠纷总是是不到一个，并且这结果是为 fermionic 和 bosonic 粒子的一样。Thedistillation 效率是起始的状态的斜元素的一个产品，它拿最大值 50% ，与那一样在为纯状态的情况中。
We extend the idea of entanglement concentration protocol for pure states (Phys. Rev. Lett. 88 , 187903) to the case of entanglement distillation for mixed states. The scheme works only with particle statistics and local operations, without the need of any other interactions. We show that the maximally entangled state can be distilled out when the initial state is pure, otherwise the entanglement distilled depends on the off-diagonal element of density matrix of the initial state. Because of the requirement for density matrix, the entanglement distilled is always less than one, and this result is the same for both fermionic and bosonic particles. The distillation efficiency is a product of the diagonal elements of the initial state, it takes the maximum 50%, the same as that in the case for pure states.