General existence of locally distinguishable maximally entangled states only with two-way classical communication.
General existence of locally distinguishable maximally entangled states only with two-way classical communication.
复制标题
仅具有双向经典通信的局部可区分最大纠缠态的普遍存在
DOI：
10.1038/srep30181
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发表时间：
2016-07-21
影响因子：
4.6
通讯作者：
Wen Q
中科院分区：
文献类型：
--
作者：
Tian G;Wu X;Cao Y;Gao F;Wen Q
已知存在两种本地操作设置，单向和双向经典通信的本地操作。最近，在特定维度的量子系统中建立了一些最大纠缠态的集合，这些集合只能通过双向经典通信来局部区分。在本文中，我们通过在所有剩余的量子系统中构造此类集合来证明此类集合的存在是普遍的。具体来说，这样的包含pn最大纠缠态的集合将被构建在(np− 1) ⊗ (np− 1)的量子系统中，其中n≥ 3且p为素数，这完成了这样的集合确实存在于每个可能维度量子系统中的图景。
It is known that there exist two locally operational settings, local operations with one-way and two-way classical communication. And recently, some sets of maximally entangled states have been built in specific dimensional quantum systems, which can be locally distinguished only with two-way classical communication. In this paper, we show the existence of such sets is general, through constructing such sets in all the remaining quantum systems. Specifically, such sets includingpornmaximally entangled states will be built in the quantum system of (np− 1) ⊗ (np− 1) withn≥ 3 andpbeing a prime number, which completes the picture that such sets do exist in every possible dimensional quantum system.