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Quantum entanglement inferred by the principle of maximum nonadditive entropy

机译:最大非加性熵原理推论的量子纠缠

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The problem of quantum-state inference and the concept of quantum entanglement are studied using a nonadditive measure in the form of the 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-Podolsky-Rosen pair of two spin-1/2 particles. Given the data on the Bell-Clauser-Horne-Shimony-Holt observable, the analytic expression is presented for the inferred quantum entangled state. It is shown that for q > 1, indicating the subadditive feature of the Tsallis entropy, the entangled region is small and enlarges as one goes into the superadditive regime where q < 1. It is also shown that quantum entanglement can be quantified by the generalized (Kullback-Leibler) relative entropy. [S1050-2947(99)01111-7]. [References: 29]
机译:使用非加法度量以正参数q索引的Tsallis熵的形式研究量子态推断问题和量子纠缠的概念。对于两个自旋1/2粒子的Einstein-Podolsky-Rosen对,详细讨论了与该熵相关的最大熵原理及其热力学解释。给定Bell-Clauser-Horne-Shimony-Holt上可观察到的数据,给出了推断量子纠缠态的解析表达式。结果表明,对于q> 1,表明Tsallis熵的次加和特征,纠缠区域很小,随着进入q <1的超加和态,纠缠区域变大。还表明量子纠缠可以通过广义量化来量化。 (Kullback-Leibler)相对熵。 [S1050-2947(99)01111-7]。 [参考:29]

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