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Reference citeLandaue has a complete set of references.
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8
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D. Coppersmith, IBM Research Report No. RC19642, 1994 (unpublished), and unpublished; see also R. Cleve (unpublished).
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10
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84926573424
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Using the electron spin as a computational degree of freedom has been discussed by S. Bandyopadhyay, B. Das, and A. E. Miller (unpublished). There are other, largely unexplored, possibilities of using natural Ising spin systems for computation; see, e.g., W. P. Wolf, J. Phys. (Paris) Colloq. 32, C1 26 (1970).
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14
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This discussion indicates that, hopefully, an ongoing goal of solid state and low temperature physics should be to find new quantum subsystems with long tφ's.
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16
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84926530970
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See also discussion by S. Lloyd (unpublished) .
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23
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84926564367
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J. W. Negele and H. Orland, Quantum Many Particle Systems (Addison Wesley, Reading, MA, 1988), Eq. (2.11).
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29
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T. E. Chupp, (private communication).
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31
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T. Toffoli, in Automata, Languages and Programming, edited by J. W. de Bakker and J. van Leeuwen (Springer, New York, 1980), p. 632; T. Toffoli, MIT Laboratory for Computational Science Technical Memo MIT/LCS/TM 151, 1980 (unpublished).
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33
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In his calculation, Deutsch wishes the parameter α in Eq. ( refone) to take an irrational value, in order that all neighborhoods in the parameter space of rotations may eventually be visited by successive applications of Q. I take a slightly different approach, which is to assume that α is an infinitesimal number. This permits me to connect my discussion more closely with the well known and powerful results of Lie algebra theory, which is directly applicable to my demonstration that two bit gates are universal for quantum computation.
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36
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For a start in this direction, see D. P. DiVincenzo and J. Smolin, in Proceedings of the Workshop on Physics and Computation (IEEE Computer Society, Los Alamitos, CA, 1994), p. 14.
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37
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84926561331
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Proc. R. Soc. London (to be published).
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Landauer, R.1
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40
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(private communication).
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Shor, P.1
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48
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J. Brown, New Scientist, 133 (1944), 21 (1994); A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa (unpublished).
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