Nonadditive Conditional Entropy and Its Significance for Local Realism
نویسنده
چکیده
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 → ∞ .
منابع مشابه
nt - p h / 01 04 13 5 2 8 A pr 2 00 1 1 Nonadditive measure and quantum entanglement in a class of mixed states of N n - system
Through the generalization of Khinchin's classical axiomatic foundation, a basis is developed for nonadditive information theory. The classical nonadditive conditional entropy indexed by the positive parameter q is introduced and then translated into quantum information. This quantity is nonnegative for classically correlated states but can take negative values for entangled mixed states. This ...
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