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Quantum computations and non-classical Markov processes

  • V. Yu. Ignat’ev
  • I. I. Moroz
  • N. N. PopovEmail author
  • V. I. Tsurkov
Control in Stochastic Systems and Under Uncertainty Conditions
  • 50 Downloads

Abstract

Random quantum processes with a countable set of elementary orthogonal events that govern the operation of a quantum computer are discussed. For the case of pure states, expressions for a posteriori quantum probabilities are derived. For stationary and nonstationary random quantum processes with the countable set of states, properties of transition quantum probabilities are investigated. A method for finding a posteriori quantum probabilities is proposed. An analog of the Kolmogorov equation for random quantum processes is presented.

Keywords

Pure State Quantum Computer Linear Differential Equation System Science International Adjoint Operator 
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References

  1. 1.
    R. P. Feynman, “Simulating physics with computers,” Int. J. Theor. Phys. 21, 467–488 (1982).CrossRefMathSciNetGoogle Scholar
  2. 2.
    N. N. Popov and V. I. Tsurkov, “Computations on quantum computers based on non-classic probability theory,” J. Comput. Syst. Sci. Int. 53, 839–853 (2014).CrossRefGoogle Scholar
  3. 3.
    N. N. Popov, Elements of the Theory of Quantum Probabilities (Vychisl. Tsentr Ross. Akad. Nauk, Moscow, 1996) [in Russian].Google Scholar
  4. 4.
    A. A. Borovkov, Probability Theory (Nauka, Fizmatlit, Moscow, 1986) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • V. Yu. Ignat’ev
    • 1
  • I. I. Moroz
    • 1
  • N. N. Popov
    • 1
    Email author
  • V. I. Tsurkov
    • 1
  1. 1.Dorodnicyn Computing CentreRussian Academy of SciencesMoscowRussia

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