论文标题

多拷贝自适应局部歧视:最强大的两分不地非局部基础

Multi-copy adaptive local discrimination: Strongest possible two-qubit nonlocal bases

论文作者

Banik, Manik, Guha, Tamal, Alimuddin, Mir, Kar, Guruprasad, Halder, Saronath, Bhattacharya, Some Sankar

论文摘要

复合量子状态的集合可以表现出非本地行为,从而使它们的最佳歧视可能需要全球操作。但是,如果可以使用(n-1)副本,则在自适应局部方案下,始终可以在自适应的局部方案下完全区分这种包含n个正交纯状状态的合奏。在这封信中,我们提供了两分Qubit Hilbert空间中的正统基础的示例,其适应性歧视需要3个国家的副本。对于此复合系统,我们分析了正交合奏的多拷贝自适应局部区分性,这反过来又将不同的非局部强度分配给了不同的集合。我们还提出了合奏,其自适应分离方案下的歧视所需的副本数量比自适应局部方案少。我们的施工发现在多方秘密共享任务中的重要应用,并指出了对本地访问信息的有趣的超级添加现象。

Ensembles of composite quantum states can exhibit nonlocal behaviour in the sense that their optimal discrimination may require global operations. Such an ensemble containing N pairwise orthogonal pure states, however, can always be perfectly distinguished under adaptive local scheme if (N-1) copies of the state are available. In this letter, we provide examples of orthonormal bases in two-qubit Hilbert space whose adaptive discrimination require 3 copies of the state. For this composite system we analyze multi-copy adaptive local distinguishability of orthogonal ensembles in full generality which in turn assigns varying nonlocal strength to different such ensembles. We also come up with ensembles whose discrimination under adaptive separable scheme require less number of copies than adaptive local schemes. Our construction finds important application in multipartite secret sharing tasks and indicates towards an intriguing super-additivity phenomenon for locally accessible information.

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