Constructions of locally distinguishable sets of maximally entangled states which require two-way LOCC
Constructions of locally distinguishable sets of maximally entangled states which require two-way LOCC
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需要双向 LOCC 的局部可区分最大纠缠态集的构造
DOI：
10.1088/1751-8121/abc43b
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发表时间：
2020-11
期刊：
影响因子：
--
通讯作者：
王彩虹
中科院分区：
文献类型：
--
作者：
原江涛;杨迎辉;王彩虹
大多数已知的最大纠缠态的局部可分辨集合(MESS)可以通过单向局部操作和经典通信(1-LOCC)来很好地区分，而需要双向LOCC(2-LOCC)的已知局部可分辨集合并不多。最近已经建立了一些这样的集合，也就是说，它们只能用2-LOCC来局部区分。在这项工作中，我们证明了存在许多需要2-LOCC(用2-LOCC集表示这样的集合)的局部可区分MUE。首先利用广义Bell态构造了量子系统Ca+(a+1)r⊗Ca+(a+1)r和Ca+(a+2)r⊗Ca+(a+2)r中大量的1-locc不可区别集。然后利用Weyl对易关系和两种构造方法构造了大量的2-LOCC集。特别地，在量子系统C10⊗C10和C19⊗C19中分别存在至少8个和105个2-LOCC集。
Most of known locally distinguishable sets of maximally entangled states (MESs) can be perfectly distinguished with one-way local operations and classical communication (1-LOCC), and there are not many known locally distinguishable sets which require two-way LOCC (2-LOCC). Recently some such sets of MESs have been built, that is, they can be locally distinguished only with 2-LOCC. In this work, we show that there exist a lot of locally distinguishable MESs which require 2-LOCC (denote such sets by 2-LOCC sets). Firstly generalized Bell states are employed to construct lots of 1-LOCC indistinguishable sets of MESs in the quantum systems Ca+(a+1)r⊗Ca+(a+1)r and Ca+(a+2)r⊗Ca+(a+2)r . Then we build a lot of 2-LOCC sets by using Weyl commutation relation and two constructive methods. Especially, it is shown that there are at least 8 and 105 2-LOCC sets in quantum systems C10⊗C10 and C19⊗C19 respectively.
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影响因子：
2.9
作者：
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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
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