Nonadditive conditional entropy and its significance for local realism

Details Nonadditive conditional entropy and its significance for local realism Nonadditive conditional entropy and its significance for local realism

2000-01-24

arxiv.org/abs/quant-ph/0001085v1

Physics

Quantum Physics

12 pages, 1 figure

Scientific paper

10.1016/S0378-4371(00)00476-3

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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