Abstract
Fundamental limitations on the energy dissipated during one elementary logical operation are discussed. A model of a real physical device (parametric quantron) based on the Josephson effect in superconductors is used throughout the discussion. This device is shown to be physically reversible, and moreover it can serve as the clementary cell of a logically reversible computer, both these properties being necessary to achieve the fundamental limits of energy dissipation. These limits due to classical and quantum statistics are shown to lie well below the earlier estimates,k B T and ηϑ, respectively.
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References
Bennett, C. H. (1973).IBM Journal of Research and Development,17, 525.
Bledsoe, W. W. (1961).IRE Transactions,EC-10, 530.
Bohm, D. (1951).Quantum Theory, Prentice Hall, Englewood-Cliffs, New Jersey, Chap. 22.
Brillouin, L. (1956).Science and Information Theory, Academic Press, New York Chaps. 14 and 18.
Keyes, R. W. (1975).Proceedings of IEEE,63, 740.
Keyes, R. W. (1981).Proceedings of IEEE,69, 267.
Keyes, R. W., and Landauer, R. W. (1970).IBM Journal of Research and Development,14, 152.
Kulik, I. O., and Yanson, I. K. (1970).Josephson Effect in Superconducting Tunnel Structures, Kefer Press, Jerusalem Chapters 1–3.
Landau, L. D., and Lifshitz, E. M. (1958).Quantum Mechanics, Pergamon, London, Chaps. 3 and 7.
Landauer, R. W. (1961).IBM Journal of Research and Development.,5, 183.
Landauer, R. W. (1976).Berichte der Bunsengesellschaft, Phys.-Chem.,80, 1048.
Likharev, K. K. (1975).Radio Engineering and Electronic Physics.,19, 109.
Likharev, K. K. (1977).IEEE Transactions. MAG-15, 240.
Likharev, K. K. (1981).Macroscopic Quantum Tunneling and Dissipation in Josephson Junctions and SQUIDs. Submitted to the 16th Int. Conf. on Low Temperature Physics, Los Angeles, California, August 1981.
Likharev, K. K., and Ulrich, B. T. (1978).Systems with Josephson Junctions. Basic Theory, Moscow Univ. Publ., Moscow (in Russian), Chaps. 1 and 2.
Louisell, W. (1973).Quantum Statistical Properties of Radiation. Wiley, New York, Chaps. 6, 7.
Marko, H. (1965).Kybernetik,2, 274.
Solimar, L. (1974).Superconducting Tunneling and Applications, Chapman and Hall, London, Chaps. 12–14.
von Neumann, J. (1966).Theory of Self-Reproducing Automata, Univ. Illinois Press, Urbana, p. 66.
Vorontsov, Yu. I. (1980).Soviet Physics—Doklady,251, 1110.
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Likharev, K.K. Classical and quantum limitations on energy consumption in computation. Int J Theor Phys 21, 311–326 (1982). https://doi.org/10.1007/BF01857733
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DOI: https://doi.org/10.1007/BF01857733