Distinguishability of maximally entangled states

Distinguishability of maximally entangled states
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DOI:
10.1103/physreva.70.022304
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发表时间:
2004-08-01
期刊:
影响因子:
2.9
通讯作者:
Sarkar, D
Sarkar, D
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ghosh, S;Kar, G;Sarkar, D

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在 2x2 中,如果只允许本地操作和经典通信 (LOCC),则永远无法确定地区分具有单个副本的两个以上正交贝尔状态。我们在这里展示了 dxd 中超过 d 个成对正交最大纠缠态,它们采用规范形式,由 Bennett [Phys.莱特牧师。 70, 1895 (1993) ],当提供各州的单一副本时,LOCC 永远不会明确歧视。有趣的是,我们在这里表明,当且仅当提供每个状态的两个副本时,LOCC 才能确定地区分所有规范形式的正交最大纠缠态。我们在这里提供了一个关于 dxd 中任何 d 个或更少数量的成对正交最大纠缠态的局部可区分性的高度不平凡的问题(在单副本情况下)的猜想。
In 2x2, more than two orthogonal Bell states with a single copy can never be discriminated with certainty if only local operations and classical communication (LOCC) are allowed. We show here that more than d numbers of pairwise orthogonal maximally entangled states in dxd, which are in canonical form, used by Bennett [Phys. Rev. Lett. 70, 1895 (1993) ], can never be discriminated with certainty by LOCC, when single copies of the states are provided. Interestingly we show here that all orthogonal maximally entangled states, which are in canonical form, can be discriminated with certainty by LOCC if and only if two copies of each of the states are provided. We provide here a conjecture regarding the highly nontrivial problem of local distinguishability of any d or fewer numbers of pairwise orthogonal maximally entangled states in dxd (in the single copy case).