ENTANGLEMENTS AND COMPOUND STATES IN QUANTUM INFORMATION THEORY
ENTANGLEMENTS AND COMPOUND STATES IN QUANTUM INFORMATION THEORY
复制标题
量子信息论中的纠缠和复合态
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
M. Ohya
中科院分区：
文献类型：
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作者：
V. Belavkin;M. Ohya
从量子复合态的角度对描述真正量子耦合的量子纠缠进行了研究和分类。我们表明，经典的量子对应，如量子编码可以被视为d-纠缠导致一类特殊的可分离的复合态。d-复合态和纠缠态的互信息导致给定量子态的两种不同类型的熵：冯诺依曼熵，它是所有d-纠缠上的信息的上确界，以及维度熵，它是在标准纠缠下实现的，真正的量子纠缠，仅在交换情况下与d-纠缠一致。量子无噪声信道的q容量，定义为所有纠缠的上确界，被给出为输入冯诺依曼代数的维数的对数。它可以使经典容量加倍，作为所有半量子耦合（d-纠缠或编码）的上确界，其由最大阿贝尔子代数的维数的对数限制。
Quantum entanglements, describing truly quantum couplings, are studied and classified from the point of view of quantum compound states. We show that classical-quantum correspondences such as quantum encodings can be treated as d-entanglements leading to a special class of the separable compound states. The mutual information of the d-compound and entangled states lead to two different types of entropies for a given quantum state: the von Neumann entropy, which is achieved as the supremum of the information over all d-entanglements, and the dimensional entropy, which is achieved at the standard entanglement, the true quantum entanglement, coinciding with a d-entanglement only in the commutative case. The q-capacity of a quantum noiseless channel, defined as the supremum over all entanglements, is given as the logarithm of the dimensionality of the input von Neumann algebra. It can double the classical capacity, achieved as the supremum over all semi-quantum couplings (d-entanglements, or encodings), which is bounded by the logarithm of the dimensionality of a maximal Abelian subalgebra.
DOI：
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发表时间：
2002
期刊：
Proceedings of the Royal Society of London A 458,No.2
影响因子：
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作者：
V.P.Belavkin;M.Ohya
通讯作者：
M.Ohya