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Prediction problem in quantum mechanics is intractable (NP-Hard)

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Abstract

It is proved that both the prediction problem and the problem of reconstructing the state from the observations in quantum mechanics are NP-hard.

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References

  • Garey, M., and Johnson, D. (1979).Computers and Intractability: A Guide to the Theory of NP-Completeness, Freeman, New York.

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  • Kosheleva, O. M., and Kreinovich, V. Ya. (1989). Quantum prediction problem is intractable, Center for New Informational Technology “Informatika”, Leningrad, Technical Report.

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  • Von Neumann, J. (1955).Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, New Jersey.

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Authors and Affiliations

  1. Computer Science Department, University of Texas at El Paso, 79968, El Paso, Texas

    Vladik Kreinovich, Alejandro Vazquez & Olga Kosheleva

Authors
  1. Vladik Kreinovich
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  2. Alejandro Vazquez
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  3. Olga Kosheleva
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Kreinovich, V., Vazquez, A. & Kosheleva, O. Prediction problem in quantum mechanics is intractable (NP-Hard). Int J Theor Phys 30, 113–122 (1991). https://doi.org/10.1007/BF00670707

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  • DOI: https://doi.org/10.1007/BF00670707

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