# Towards nonadditive quantum information theory

@article{Abe2000TowardsNQ, title={Towards nonadditive quantum information theory}, author={S. Abe and A. O. Science and Technology and N. University and Funabashi and Chiba and JapanNaval Research Laboratory and Washington. and Dc}, journal={Chaos Solitons & Fractals}, year={2000}, volume={13}, pages={431-435} }

Abstract A definition of the nonadditive (nonextensive) conditional entropy indexed by q is presented. Based on the composition law in terms of it, the Shannon–Khinchin axioms are generalized and the uniqueness theorem is established for the Tsallis entropy. The nonadditive conditional entropy, when considered in the quantum context, is always positive for separable states but takes negative values for entangled states, indicating its utility for characterizing entanglement. A criterion deduced… CONTINUE READING

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