Local distinguishability of orthogonal 2 ⊗ 3 pure states
Local distinguishability of orthogonal 2 ⊗ 3 pure states
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DOI：
10.1103/physreva.77.012315
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发表时间：
2007-09
影响因子：
2.9
通讯作者：
Yu Xin;R. Duan
中科院分区：
文献类型：
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作者：
Yu Xin;R. Duan
我们提出了正交 $2\otimes 3$ 纯状态的局部可区分性的完整表征，除了三个状态的一些特殊情况之外。有趣的是，我们发现有一类由四三种状态组成的状态通过局部投影测量无法区分，而经典通信 (LPCC) 可以通过 LOCC 完全区分。这表明 LOCC 区分 $2\otimes 3$ 状态的能力严格来说比 LPCC 更强大，这与多量子位状态的情况截然不同。我们还通过构建一类 $m\otimes n$ 状态来证明经典通信对于局部区分性起着至关重要的作用，该类需要至少 $2\min\{m,n\}-2$ 轮经典通信才能实现完美的局部区分。
We present a complete characterization for the local distinguishability of orthogonal $2\otimes 3$ pure states except for some special cases of three states. Interestingly, we find there is a large class of four or three states that are indistinguishable by local projective measurements and classical communication (LPCC) can be perfectly distinguishable by LOCC. That indicates the ability of LOCC for discriminating $2\otimes 3$ states is strictly more powerful than that of LPCC, which is strikingly different from the case of multi-qubit states. We also show that classical communication plays a crucial role for local distinguishability by constructing a class of $m\otimes n$ states which require at least $2\min\{m,n\}-2$ rounds of classical communication in order to achieve a perfect local discrimination.