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arXiv 0709.4059quant-ph
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随机多方纠缠蒸馏

Random multiparty entanglement distillation

Ben Fortescue, Hoi-Kwong Lo

摘要:

我们描述了与多方纠缠态的随机蒸馏相关的各种结果-也就是说,将这些状态转换为较少方之间共享的纠缠态,其中这些方不是预先确定的。在以前的工作[物理。98,260501(2007)]我们表明,某些输出状态(即Einstein-Podolsky-Rosen(EPR)对)可以通过随机蒸馏从规定的初始多部分状态(即W状态)中可靠地获得,而这些状态不能在预定方之间可靠地创建。在这里,我们提供了一个更严格的定义是什么构成了“可怕的”随机蒸馏。我们证明了随机蒸馏对于W类三量子比特态总是有利的(但有时对于Greenberger-Horne-Zeilinger(GHZ)类态)。我们表明,一般类的多方国家称为对称迪克国家可以很容易地转换为许多其他国家的类通过随机蒸馏。最后,我们证明了随机蒸馏在纯态的多个拷贝的限制下是不有利的。

英文摘要:

We describe various results related to the random distillation of multiparty entangled states - that is, conversion of such states into entangled states shared between fewer parties, where those parties are not predetermined. In previous work [Phys. Rev. Lett. 98, 260501 (2007)] we showed that certain output states (namely Einstein-Podolsky-Rosen (EPR) pairs) could be reliably acquired from a prescribed initial multipartite state (namely the W state) via random distillation that could not be reliably created between predetermined parties. Here we provide a more rigorous definition of what constitutes ``advantageous'' random distillation. We show that random distillation is always advantageous for W-class three-qubit states (but only sometimes for Greenberger-Horne-Zeilinger (GHZ)-class states). We show that the general class of multiparty states known as symmetric Dicke states can be readily converted to many other states in the class via random distillation. Finally we show that random distillation is provably not advantageous in the limit of multiple copies of pure states.

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