Quantum entanglement inferred by the principle of maximum nonadditive entropy
Quantum entanglement inferred by the principle of maximum nonadditive entropy
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由最大非加性熵原理推断的量子纠缠
DOI：
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发表时间：
1999
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通讯作者：
U.S.A.
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作者：
S. Abe;A. G. S. O. Science;Technology;Nihon University;Funabashi;Chiba;Japan Naval Research Laboratory;Washington D.C.;U.S.A.
利用以正参数q为索引的Tsallis熵的非加性测度，研究了量子态推理问题和量子纠缠的概念。详细讨论了爱因斯坦-波多洛斯基-罗森对两个自旋为1/2的粒子的最大熵原理及其热力学解释。给出了bell - clauser - horn - shimony - holt可观测态的解析表达式。结果表明，当q大于1时，表明Tsalls熵的亚加性特征，当q小于1时，纠缠区域较小，并随着进入超加性区域而增大。量子纠缠可以用广义Kullback-Leibler熵来量化。
The problem of quantum state inference and the concept of quantum entanglement are studied using a non-additive measure in the form of Tsallis entropy indexed by the positive parameter q. The maximum entropy principle associated with this entropy along with its thermodynamic interpretation are discussed in detail for the Einstein-Podolosky-Rosen pair of two spin-1/2 particles. Given the data on the Bell-Clauser-Horne-Shimony-Holt observable, the analytic expression is given for the inferred quantum entangled state. It is shown that for q greater than unity, indicating the sub-additive feature of the Tsalls entropy, the entangled region is small and enlarges as one goes into super-additive regime where q is less than unity. It is also shown that quantum entanglement can be quantified by the generalized Kullback-Leibler entropy.