Quantum entanglement inferred by the principle of maximum Tsallis entropy

Details Quantum entanglement inferred by the principle of maximum Tsallis entropy Quantum entanglement inferred by the principle of maximum Tsallis entropy

1999-04-26

arxiv.org/abs/quant-ph/9904088v1

Phys.Rev. A60 (1999) 3461

Physics

Quantum Physics

15 pages, 1 figure

Scientific paper

10.1103/PhysRevA.60.3461

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.

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