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Miscellaneous in Quantum Theory and Information

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Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Part of the book series: Theoretical and Mathematical Physics ((TMP))

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Abstract

This chapter is devoted to miscellaneous topics related to quantum information and quantum probability. They haven’t been either completed or used much for quantum information, yet, but they will be important for the future development in these fields. Topics discussed in this chapter are more or less conceptual, so that we will not always provide complete proofs to some of the statements, but we will indicate where each proof can be found. In particular such topics as lifting, possible decreasing of entropy, stochastic limit, Janes–Cummings model, Kolmogorov–Sinai complexities, decoherence, chaos degree, and quantum baker’s map are discussed.

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  1. Information Sciences, Tokyo University of Science, Yamazaki 2641, 278-8510, Noda, Japan

    Masanori Ohya

  2. Mathematical Physics, Steklov Mathematical Institute, Gubkin St 8, 119991, Moscow, Russia

    Igor Volovich

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  1. Masanori Ohya
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Ohya, M., Volovich, I. (2011). Miscellaneous in Quantum Theory and Information. In: Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems. Theoretical and Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0171-7_20

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