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A new formulation of relative entropy and quantum measurements

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Lettere al Nuovo Cimento (1971-1985)

Summary

We give a new formulation of relative entropy among density operators by identifying density operators with covariance operators of probability measures on real separable Hilbert space and obtain relations between the relative entropy among density operators and it among them after the measurements.

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References

  1. J. von Neumann:Mathematical Foundations of Quantum Mechanics (Princeton, N. J., 1955).

  2. A. Bach:Phys. Lett. A,73, 287 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  3. A. Bach:J. Math. Phys. (N. Y.),21, 789 (1980).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. K. K. Yanagi:Phys. Lett. A,88, 13 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  5. K. Yanagi:Kodai Math. J.,5, 434 (1982).

    Article  MathSciNet  Google Scholar 

  6. M. Nakamura andH. Umegaki:Math. Jpn.,7, 151 (1962).

    MathSciNet  MATH  Google Scholar 

  7. H. Umegaki:Tôhoku Math. J.,6, 608 (1954).

    Article  Google Scholar 

  8. H. Umegaki:Tĥoku Math. J.,8, 86 (1956).

    MathSciNet  MATH  Google Scholar 

  9. G. Lindblad:Commun. Math. Phys.,33, 305 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  10. G. Lindblad:Commun. Math. Phys.,39, 111 (1974).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Yamaguchi University, 753, Yamaguchi, Japan

    K. Yanagi

Authors
  1. K. Yanagi
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Additional information

This work was done while the author was visiting the Department of Statistics, University of North Carolina at Chapel Hill.

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Yanagi, K. A new formulation of relative entropy and quantum measurements. Lett. Nuovo Cimento 43, 119–122 (1985). https://doi.org/10.1007/BF02749589

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  • DOI: https://doi.org/10.1007/BF02749589

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