不可约多方关联可以通过本地操作创建
Irreducible multiparty correlation can be created by local operations
摘要：
推广Amari的工作，题为“信息几何的概率分布的层次”，我们定义的程度不可约多方量子态的基础上的量子相对熵的多方关联。我们证明了这些定义是等价的最大冯Neaumann熵原理。基于这些定义，我们发现了一个关于不可约多方关联的反直觉结果：虽然在局域操作下，三方量子态的总关联度并没有增加，但不可约三方关联可以由只有不可约两方关联的三方态通过局域操作产生.换句话说，即使一个三方状态最初完全通过测量两方厄米算符来确定，在局部操作之后的状态的确定也必须求助于三方厄米算符的测量。
英文摘要：
Generalizing Amari's work titled "Information geometry on hierarchy of probability distributions", we define the degrees of irreducible multiparty correlations in a multiparty quantum state based on quantum relative entropy. We prove that these definitions are equivalent to those derived from the maximal von Neaumann entropy principle. Based on these definitions, we find a counterintuitive result on irreducible multiparty correlations: although the degree of the total correlation in a three-party quantum state does not increase under local operations, the irreducible three-party correlation can be created by local operations from a three-party state with only irreducible two-party correlations. In other words, even if a three-party state is initially completely determined by measuring two-party Hermitian operators, the determination of the state after local operations have to resort to the measurements of three-party Hermitian operators.
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