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Volumn 51, Issue 2, 1995, Pages 1015-1022

Two-bit gates are universal for quantum computation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33751021446     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.51.1015     Document Type: Article
Times cited : (912)

References (48)
  • 3
    • 84926570039 scopus 로고    scopus 로고
    • Reference citeLandaue has a complete set of references.
  • 8
    • 84926566012 scopus 로고    scopus 로고
    • D. Coppersmith, IBM Research Report No. RC19642, 1994 (unpublished), and unpublished; see also R. Cleve (unpublished).
  • 10
    • 84926573424 scopus 로고    scopus 로고
    • 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electron spin as a computational degree of freedom has been discussed by S. Bandyopadhyay, B. Das, and A. E. Miller (unpublished).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).
  • 14
    • 84926591750 scopus 로고    scopus 로고
    • 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.
  • 16
    • 84926530970 scopus 로고    scopus 로고
    • See also discussion by S. Lloyd (unpublished) .
  • 23
    • 84926564367 scopus 로고    scopus 로고
    • J. W. Negele and H. Orland, Quantum Many Particle Systems (Addison Wesley, Reading, MA, 1988), Eq. (2.11).
  • 29
    • 84926600959 scopus 로고    scopus 로고
    • T. E. Chupp, (private communication).
  • 31
    • 84926560718 scopus 로고    scopus 로고
    • 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New York, 1980), p. 632; T. Toffoli, MIT Laboratory for Computational Science Technical Memo MIT/LCS/TM 151, 1980 (unpublished).
  • 33
    • 84926554020 scopus 로고    scopus 로고
    • 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.
  • 36
    • 84926581387 scopus 로고    scopus 로고
    • 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.
  • 37
  • 40
  • 48
    • 84926567078 scopus 로고    scopus 로고
    • J. Brown, New Scientist, 133 (1944), 21 (1994); A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa (unpublished).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.