dorsal/arxiv
View SchemaQuantum entanglement inferred by the principle of maximum Tsallis entropy
| Authors | Sumiyoshi Abe, A. K. Rajagopal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904088 |
| URL | https://arxiv.org/abs/quant-ph/9904088 |
| DOI | 10.1103/PhysRevA.60.3461 |
| Journal | Phys.Rev. A60 (1999) 3461 |
Abstract
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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"abstract": "The problem of quantum state inference and the concept of quantum\nentanglement are studied using a non-additive measure in the form of Tsallis\nentropy indexed by the positive parameter q. The maximum entropy principle\nassociated with this entropy along with its thermodynamic interpretation are\ndiscussed in detail for the Einstein-Podolosky-Rosen pair of two spin-1/2\nparticles. Given the data on the Bell-Clauser-Horne-Shimony-Holt observable,\nthe analytic expression is given for the inferred quantum entangled state. It\nis shown that for q greater than unity, indicating the sub-additive feature of\nthe Tsalls entropy, the entangled region is small and enlarges as one goes into\nsuper-additive regime where q is less than unity. It is also shown that quantum\nentanglement can be quantified by the generalized Kullback-Leibler entropy.",
"arxiv_id": "quant-ph/9904088",
"authors": [
"Sumiyoshi Abe",
"A. K. Rajagopal"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.60.3461",
"journal_ref": "Phys.Rev. A60 (1999) 3461",
"title": "Quantum entanglement inferred by the principle of maximum Tsallis entropy",
"url": "https://arxiv.org/abs/quant-ph/9904088"
},
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