Document Zbl 0499.68021

Quantum mechanical Hamiltonian models of discrete processes that erase their own histories: Application to Turing machines. (English) Zbl 0499.68021

Int. J. Theor. Phys. 21, 177-201 (1982).

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MSC:

68Q05	Models of computation (Turing machines, etc.) (MSC2010)
81P99	Foundations, quantum information and its processing, quantum axioms, and philosophy

Keywords:

quantum mechanical Hamiltonian models of Turing machines; general discrete processes; history of iterations

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References:

[1]	Bell, J. S. (1975).Helvetica Physica Acta,48, 93.
[2]	Benioff, P. (1980).Journal of Statistical Physics,22, 563. · Zbl 1382.68066 · doi:10.1007/BF01011339
[3]	Benioff, P. (1981).Journal of Mathematical Physics,22, 495. · doi:10.1063/1.524938
[4]	Bennett, C. H. (1973).IBM Journal of Research and Development,17, 525. · Zbl 0267.68024 · doi:10.1147/rd.176.0525
[5]	Davis, M. (1958).Computability and Unsolvability. McGraw-Hill, New York. · Zbl 0080.00902
[6]	Hepp, K. (1972).Helvetica Physica Acta,45, 237.
[7]	Keyes, R. W., and Landauer, R. (1970).IBM Journal of Research and Development,14, 152. · doi:10.1147/rd.142.0152
[8]	Landauer, R. (1976).Berichte der Bunsengesellschaft für Physikalische Chemie.,80, 1048.
[9]	Landauer, R. and Woo, J. W. F. (1971).Journal of Applied Physics,42, 2301. · doi:10.1063/1.1660540
[10]	Newton, R. (1966).Scattering Theory of Waves and Particles, Chapter 18. McGraw-Hill, New York.
[11]	Schiff, L. (1968).Quantum Mechanics, 3rd ed., pp. 339–341. McGraw-Hill, New York.
[12]	Sz Nagy, B. and Foias, C. (1970).Harmonic Analysis of Operators on Hilbert Space, Chapter 1. North-Holland American Elsevier, New York.
[13]	Von Neuman, J. (1955).Mathematical Foundations of Quantum Mechanics, trans. R. T. Beyer, Chapter 3. Princeton University Press, Princeton, New Jersey.

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