dorsal/arxiv
View SchemaNonadditive conditional entropy and its significance for local realism
| Authors | Sumiyoshi Abe, A. K. Rajagopal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001085 |
| URL | https://arxiv.org/abs/quant-ph/0001085 |
| DOI | 10.1016/S0378-4371(00)00476-3 |
Abstract
Based on the form invariance of the structures given by Khinchin's axiomatic foundations of information theory and the pseudoadditivity of the Tsallis entropy indexed by q, the concept of conditional entropy is generalized to the case of nonadditive (nonextensive) composite systems. The proposed nonadditive conditional entropy is classically nonnegative but can be negative in the quantum context, indicating its utility for characterizing quantum entanglement. A criterion deduced from it for separability of density matrices for validity of local realism is examined in detail by employing a bipartite spin-1/2 system. It is found that the strongest criterion is obtained in the limit q going to infinity.
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"abstract": "Based on the form invariance of the structures given by Khinchin\u0027s axiomatic\nfoundations of information theory and the pseudoadditivity of the Tsallis\nentropy indexed by q, the concept of conditional entropy is generalized to the\ncase of nonadditive (nonextensive) composite systems. The proposed nonadditive\nconditional entropy is classically nonnegative but can be negative in the\nquantum context, indicating its utility for characterizing quantum\nentanglement. A criterion deduced from it for separability of density matrices\nfor validity of local realism is examined in detail by employing a bipartite\nspin-1/2 system. It is found that the strongest criterion is obtained in the\nlimit q going to infinity.",
"arxiv_id": "quant-ph/0001085",
"authors": [
"Sumiyoshi Abe",
"A. K. Rajagopal"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0378-4371(00)00476-3",
"title": "Nonadditive conditional entropy and its significance for local realism",
"url": "https://arxiv.org/abs/quant-ph/0001085"
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