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Statistical problems in quantum physics

Part of the Lecture Notes in Mathematics book series (LNM,volume 330)

Keywords

  • Extreme Point
  • Quantum Channel
  • Density Operator
  • Simple Measurement
  • Trace Class Operator

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References

  1. C.W. Helstrom et al: Quantum Mechanical Communication Theory, Proc. IEEE, 58 (1970), 1578–1598.

    CrossRef  MathSciNet  Google Scholar 

  2. J.V.Neumann: Mathematical foundations of quantum mechanics, Princeton University Press, 1955.

    Google Scholar 

  3. G.W.Mackey: The Mathematical Foundations of Quantum Mechanics, Benjamin, 1963.

    Google Scholar 

  4. V.S.Varadarajan: Geometry of Quantum Theory, Van Nostrand, 1968.

    Google Scholar 

  5. A.M. Gleason: Measures on closed subspaces of a Hilbert space, J. Rat. Mech. Anal. 6 (1957), 885–894

    MathSciNet  MATH  Google Scholar 

  6. А.С. Холево: Аналог теории статистических рещений В некоммутативной теории вероятностей, Тр.Мос.мат.об-ва, 26 (1972), 133–149.

    Google Scholar 

  7. H. Umegaki: Conditional expectations in an operator algebra, Tohoku Math. J., 6, (1954), 177–181.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. S.K.Berberian, Notes on spectral theory, Van Nostrand, 1966.

    Google Scholar 

  9. М.А. Наймарк: Спектральные функции симметричного оператора, Иэв. АН СССР, 4 (1940), 277–318.

    Google Scholar 

  10. А.С. Холево: Некоторые статистические дадачи длч квантовыш попей, Теория вероят. и ее примен., 17, 1972, 360–365.

    Google Scholar 

  11. H. Araki, E.J. Woods: Representations of the canonical commutation relations, describing a nonrelativistic infinite free Bose gas, J. Math. Phys. 4 (1963), 637–662.

    CrossRef  MathSciNet  Google Scholar 

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© 1973 Springer-Verlag

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Holevo, A.S. (1973). Statistical problems in quantum physics. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061483

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  • DOI: https://doi.org/10.1007/BFb0061483

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06358-2

  • Online ISBN: 978-3-540-46956-8

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