A study of LOCC-detection of a maximally entangled state using hypothesis testing
A study of LOCC-detection of a maximally entangled state using hypothesis testing
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DOI：
10.1088/0305-4470/39/46/013
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发表时间：
2005-04
期刊：
影响因子：
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通讯作者：
Masahito Hayashi;Keiji Matsumoto;Y. Tsuda
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文献类型：
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作者：
Masahito Hayashi;Keiji Matsumoto;Y. Tsuda
我们研究如何很好地回答这样一个问题：给定的量子态是否等于某个最大纠缠态？在假设检验的背景下使用LOCC。在几种局部性和不变性条件下，利用群表示的基本理论，给出了几种特殊情况下的最优检验。通过执行量子隐形传态和验证态是否被隐形传态，实现了一些最优测试。我们还将给出一个实现一些最优测试的有限过程。这些测试的性能将进行数字比较。
We study how well we can answer the question 'Is the given quantum state equal to a certain maximally entangled state?' using LOCC, in the context of hypothesis testing. Under several locality and invariance conditions, optimal tests will be derived for several special cases by using basic theory of group representations. Some optimal tests are realized by performing quantum teleportation and checking whether the state is teleported. We will also give a finite process for realizing some optimal tests. The performance of the tests will be numerically compared.