利用局部运算和经典通信明确区分任意多部基
Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
摘要:
我们证明了由$K$远距离方组成的多体量子态空间的任意基,使得$k$第三方具有局部维数$d_k$,总是包含至少$N=\sum_{k=1}^K (d_k-1)+1$成员,这些成员使用局部操作和经典通信(LOCC)是明确可区分的.我们进一步表明,这个下限是最佳的分析构建一个特殊的产品基础上只有$N$成员明确区分LOCC。有趣的是,这种特殊的乘积基不仅给出了“无纠缠非定域性”这一奇怪现象的更强形式,而且还暗示了局域可区分纠缠基的存在。
英文摘要:
We show that an arbitrary basis of a multipartite quantum state space consisting of $K$ distant parties such that the $k$th party has local dimension $d_k$ always contains at least $N=\sum_{k=1}^K (d_k-1)+1$ members that are unambiguously distinguishable using local operations and classical communication (LOCC). We further show this lower bound is optimal by analytically constructing a special product basis having only $N$ members unambiguously distinguishable by LOCC. Interestingly, such a special product basis not only gives a stronger form of the weird phenomenon ``nonlocality without entanglement", but also implies the existence of locally distinguishable entangled basis.
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