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Volumn 52, Issue 5, 1995, Pages 3457-3467

Elementary gates for quantum computation

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[No Author keywords available]

Indexed keywords


EID: 34748841353     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.52.3457     Document Type: Article
Times cited : (3620)

References (51)
  • 1
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    • P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, New York, 1958), Chap. 5; for a modern treatment, see A Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993), Chap. 8.6.
  • 4
    • 84927318674 scopus 로고    scopus 로고
    • Yves Lecerf, C. R. Acad. Sci. 257, 2597 (1963)
  • 6
    • 84927318673 scopus 로고    scopus 로고
    • for a review, see C. H. Bennett and R. Landauer, Sci. Am. X (7), 48 (1985).
  • 8
    • 84927318672 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by J. W. de Bakker and J. van Leeuwen (Springer, New York, 1980), p. 632; MIT Technical Memo No. MIT/LCS/TM 151, 19XX (unpublished).
  • 13
    • 84927318671 scopus 로고    scopus 로고
    • Tycho Sleator and Harald Weinfurter (unpublished).
  • 17
    • 84927318667 scopus 로고    scopus 로고
    • Y. Yamamoto, M. Kitegawa, and K. Igeta, in Proceedings of the Third Asia Pacific Physics Conference, edited by Editor(s) (World Scientific, Singapore, 1988);
  • 24
    • 84927318666 scopus 로고    scopus 로고
    • A. Berthiaume and G. Brassard, in Proceedings of the Workshop on Physics and Computation, PhysComp '92, edited by Editor(s) (IEEE, City, 1992), pp. 195 199.
  • 25
    • 84927318597 scopus 로고    scopus 로고
    • D. Simon, in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, edited by Editor(s) (IEEE Computer Society, Los Alamitos, 1994), p. 116.
  • 26
    • 84927318595 scopus 로고    scopus 로고
    • E. Bernstein and U. Vazirani, in Proceedings of the 25th Annual ACM Symposium on Theory of Computing, edited by Editor(s) (ACM, New York, 1993), pp. 11 20.
  • 28
    • 84927318593 scopus 로고    scopus 로고
    • For a review see A. Ekert and R. Jozsa (unpublished); see also J. Brown, New Sci. 133, 1944, 21 (1994).
  • 39
    • 84927318588 scopus 로고    scopus 로고
    • D. Coppersmith, IBM Research Report No. RC19642, 1994 (unpublished); R. Cleve (unpublished).
  • 40
    • 84927318587 scopus 로고    scopus 로고
    • A. Berthiaume, D. Deutsch, and R. Jozsa, Proceedings of the Workshop on Physics and Computation, PhysComp '94 (IEEE, Los Alamitos, 1994), p. 60.
  • 43
  • 44
    • 84927318575 scopus 로고    scopus 로고
    • The only nontrivial one bit classical invertible operation is ( beginarray{cc 0 1 1 0 endarray ).
  • 46
    • 84927318573 scopus 로고    scopus 로고
    • Richard Cleve, Ph.D. thesis, University of Toronto, 1989 (unpublished), pp. 2 56.
  • 48
    • 84927318571 scopus 로고    scopus 로고
    • Corresponding to the definition in Sec. II, the top two wires contain the input bits x1 and x2 and the third wire contains the input y.
  • 49
    • 84927318570 scopus 로고    scopus 로고
    • The angle halving of this definition conforms to the usual relation between operations in SO(3) and SU(2). See J. Mathews and R. L. Walker, Mathematical Methods of Physics, 2nd ed. (Benjamin, Menlo Park, CA, 1970), p. 464 for the use of SO(3) language (rigid body rotations) to describe SU(2) operations.
  • 50
    • 84927318569 scopus 로고    scopus 로고
    • These counts take advantage of a different, entirely classical kind of merging. By an inspection of the truth table of the sequences of the three consecutive wedge1 ( σx ) gates that appear in these simulations, we find that they can always be replaced by just two xor gates.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.