Fundamentals of Quantum Information View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2011

AUTHORS

Masanori Ohya , Igor Volovich

ABSTRACT

In this chapter basic notions of quantum information will be considered. A channel is a mapping of an input state to an output state. The amount of information transmitted from input to output is described by the mutual entropy.

PAGES

125-166

References to SciGraph publications

  • 1987-12. Dynamical entropy ofC* algebras and von Neumann algebras in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1987-06. Point processes and the position distribution of infinite boson systems in JOURNAL OF STATISTICAL PHYSICS
  • 1992-04. Entropies of general quantum states in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1994-10. Computation of mutual entropy in quantum markov chains in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1999-02. Compound Channels, Transition Expectations, and Liftings in APPLIED MATHEMATICS & OPTIMIZATION
  • 1996-03. Entropy functionals of Kolmogorov-Sinai type and their limit theorems in LETTERS IN MATHEMATICAL PHYSICS
  • 1986-03. On the relative entropy in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1997-02. Superposition Representability Problems of Quantum Information Channels in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1991-04. Characterization of states of infinite boson systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1973-12. Entropy, information and quantum measurements in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1970. Norm Ideals of Completely Continuous Operators in NONE
  • 1991-12. The proper formula for relative entropy and its asymptotics in quantum probability in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1986-03. Sufficient subalgebras and the relative entropy of states of a von Neumann algebra in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1993. Quantum Entropy and Its Use in NONE
  • 1977-02. Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1973. Statistical problems in quantum physics in PROCEEDINGS OF THE SECOND JAPAN-USSR SYMPOSIUM ON PROBABILITY THEORY
  • 1997. Information Dynamics and Open Systems, Classical and Quantum Approach in NONE
  • 1985. State change and entropies in quantum dynamical systems in QUANTUM PROBABILITY AND APPLICATIONS II
  • 1977-12. Completely positive maps on the CCR-algebra in LETTERS IN MATHEMATICAL PHYSICS
  • Book

    TITLE

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

    ISBN

    978-94-007-0170-0
    978-94-007-0171-7

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-94-007-0171-7_7

    DOI

    http://dx.doi.org/10.1007/978-94-007-0171-7_7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1019707913


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