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arXiv 2007.10605quant-ph
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二元相关测量

Binary Correlation Measurements

Toru Ohira

摘要:

我们寻找一种最简单和最小的方法来确定一个给定的量子系统是纠缠的还是可分的。为此,我们提出了二进制相关测量,其中只有零或非零相关性的有限知识是可用的。我们考虑对两个粒子的纯态的具体研究,每个粒子有两个基态(2 × 2系统)。我们表明,即使从二进制相关测量的这一有限的信息,我们仍然可以达到已知的最低限度的三个测量纠缠检测。接下来我们考虑应用于混合密度矩阵的可比较问题。混合量子的情况似乎需要更详细的信息,我们通过研究沃纳密度矩阵的具体例子来说明。

英文摘要:

We search a simplest and minimal way to determine whether a given quantum system is entangled or separable. For this end, we propose binary correlation measurements in which restricted knowledge of only zero or non-zero correlations is available. We consider the concrete investigation on a pure state for two particles, each particle having two basis states (the 2x2 system). We show that, even with this limited information from the binary correlation measurements, we can still reach the known minimum of three measurements for entanglement detection. We next consider the comparable problem applied to the mixed density matrix. The mixed quantum case appears to require more detailed information, which we illustrate by studying the concrete example of the Werner density matrix.

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