Locally distinguishable maximally entangled states by two-way LOCC
Locally distinguishable maximally entangled states by two-way LOCC
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双向 LOCC 局部可区分最大纠缠态
DOI：
10.1007/s11128-020-02957-2
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发表时间：
2021-01
影响因子：
2.5
通讯作者：
耿世佼
中科院分区：
文献类型：
--
作者：
杨迎辉;原江涛;王彩虹;耿世佼
我们主要讨论了单向局域操作与经典通信(1-LOCC)和双向局域操作与经典通信(2-LOCC)在区分最大纠缠态(MESS)方面的差异。我们分析了用1-LOCC不可分辨量子比特格态(Nathanson in Phys Revv A 88：062316,2013)构造的kMES的2-LOCC可区分性。给出了用2-LOCC来区分哪种类型的Nathanson构造态的充分条件。它在一定程度上解决了内桑森提出的一个悬而未决的问题。此外，我们至少在一定程度上以一种更简单、更有效的方式回答了这个问题。也就是说，如果初始LSS是独立的且不是对应于初始LSS的最大数目的成对交换矩阵，则构造的状态可以用2-LOCC来区分，而不能用1-LOCC来区分。最后，我们发现了一个有趣的现象，即1-LOCC和2-LOCC在区分四个四四元四元组和四个由四个组态派生的构造态时的工作方式不同。对于四路LSS，2-LOCC与1-LOCC相比没有优势。然而，对于四个构造态，2-LOCC比1-LOCC具有更大的优势。
We concentrate on the differences between one-way local operations and classical communication (1-LOCC) and two-way local operations and classical communication (2-LOCC) in distinguishing maximally entangled states (MESs). We analyze the 2-LOCC distinguishability ofkMESs which were constructed by using 1-LOCC indistinguishable qubit lattice states (LSs) (Nathanson in Phys Rev A 88:062316, 2013). We give a sufficient condition that illustrates which type of Nathanson’s constructed states can be distinguished by 2-LOCC. It partly solves an open question proposed by Nathanson. Furthermore, we answer the question in a simpler and more efficient way, at least to some extent. That is, thekconstructed states can be distinguished by 2-LOCC but not by 1-LOCC if, where the initial LSs are inandmis the largest number of pairwise commuting matrices corresponding to the initial LSs. Finally, we find an interesting phenomenon, i.e., 1-LOCC and 2-LOCC work differently when distinguishing four ququad-ququad LSs and distinguishing four constructed states derived from the four LSs. For the four ququad-ququad LSs, 2-LOCC has no advantage over 1-LOCC. However, for the four constructed states, 2-LOCC has advantages over 1-LOCC.
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最大纠缠态的单向 LOCC 不可区分性
影响因子：
2.5
作者：
Zhang, Zhi-Chao;Wen, Qiao-Yan;Gao, Fei;Tian, Guo-Jing;Cao, Tian-Qing
通讯作者：
Cao, Tian-Qing
影响因子：
2.9
作者：
Guojing Tian;Sixia Yu;F. Gao;Q. Wen
通讯作者：
Guojing Tian;Sixia Yu;F. Gao;Q. Wen
任意三个广义贝尔态的局部可区分性
影响因子：
2.5
作者：
Wang Yan-Ling;Li Mao-Sheng;Fei Shao-Ming;Zheng Zhu-Jun
通讯作者：
Zheng Zhu-Jun
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
影响因子：
4.6
作者：
Tian G;Wu X;Cao Y;Gao F;Wen Q
通讯作者：
Wen Q
影响因子：
8.6
作者：
Walgate, J;Short, AJ;Vedral, V
通讯作者：
Vedral, V