Towards nonadditive quantum information theory

  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},
  • S. Abe, A. O. Science, +6 authors Dc
  • Published 2000
  • Mathematics, Physics
  • Chaos Solitons & Fractals
  • 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


    Publications referenced by this paper.
    Nonadditive conditional entropy and its significance for local realism
    • 96
    • Open Access
    Quantum extension of conditional probability
    • 73
    • Open Access
    Axioms and uniqueness theorem for Tsallis entropy
    • 145
    • Open Access
    Possible generalization of Boltzmann-Gibbs statistics
    • 6,005
    • Open Access
    Generalized Information Functions
    • 425
    • Open Access
    Bell's inequalities versus teleportation: What is nonlocality?
    • 281
    • Open Access
    Separability Criterion for Density Matrices.
    • 2,972
    • Open Access