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Volumn 10, Issue 4, 2000, Pages 311-338

Nested quantum search and NP-hard problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; ITERATIVE METHODS;

EID: 0033737178     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002000050134     Document Type: Article
Times cited : (17)

References (24)
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  • 3
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    • Tight bounds on quantum searching
    • edited by T. Toffoli, M. Biafore, and J. Leao, New England Complex Systems Institute, Boston, also in Los-Alamos e-print quant-ph/9605034
    • Boyer, M., Brassard, G., Hoyer, P., Tapp, A.: Tight bounds on quantum searching, In: Proc. 4th Workshop on Physics and Computation, edited by T. Toffoli, M. Biafore, and J. Leao, (New England Complex Systems Institute, Boston, 1996), p. 36; also in Los-Alamos e-print quant-ph/9605034
    • (1996) Proc. 4th Workshop on Physics and Computation , pp. 36
    • Boyer, M.1    Brassard, G.2    Hoyer, P.3    Tapp, A.4
  • 7
    • 4243657256 scopus 로고    scopus 로고
    • Quantum computation and decision trees
    • Farhi, E., Gutmann, S.: Quantum computation and decision trees, Phys. Rev. A 58, 915 (1998)
    • (1998) Phys. Rev. A , vol.58 , pp. 915
    • Farhi, E.1    Gutmann, S.2
  • 8
    • 0032027585 scopus 로고    scopus 로고
    • Highly structured searches with quantum computers
    • Hogg, T.: Highly structured searches with quantum computers, Phys. Rev. Lett. 80, 2473 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2473
    • Hogg, T.1
  • 10
    • 0003291192 scopus 로고
    • The development of the number field sieve
    • New York: Springer
    • Lenstra, A., Lenstra, H.: The development of the Number Field Sieve, Lectures Notes in Mathematics 1554, New York: Springer 1993
    • (1993) Lectures Notes in Mathematics , pp. 1554
    • Lenstra, A.1    Lenstra, H.2
  • 11
    • 0007154133 scopus 로고    scopus 로고
    • Generalized quantum search with parallelism
    • Los-Alamos e-print quant-ph/9904049
    • Gingrich, R., Williams, C. P., Cerf, N. J.: Generalized Quantum Search with Parallelism. Los-Alamos e-print quant-ph/9904049, to appear in Phys. Rev. A (2000)
    • (2000) Phys. Rev. A
    • Gingrich, R.1    Williams, C.P.2    Cerf, N.J.3
  • 12
    • 0029701737 scopus 로고    scopus 로고
    • A fast quantum mechanical algorithm for database search
    • New York: ACM Press
    • Grover, L. K.: A fast quantum mechanical algorithm for database search, In: Proc. 28th Annual Symposium on the Theory of Computing, pp. 212-219, New York: ACM Press 1996
    • (1996) Proc. 28th Annual Symposium on the Theory of Computing , pp. 212-219
    • Grover, L.K.1
  • 13
    • 4243807288 scopus 로고    scopus 로고
    • Quantum mechanics helps in searching for a needle in a haystack
    • Grover, L. K.: Quantum mechanics helps in searching for a needle in a haystack, Phys. Rev. Lett. 79, 325 (1997)
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 325
    • Grover, L.K.1
  • 15
    • 4243643113 scopus 로고    scopus 로고
    • Quantum computers can search rapidly by using almost any transformation
    • Grover, L. K.: Quantum computers can search rapidly by using almost any transformation, Phys. Rev. Lett. 80, 4329 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4329
    • Grover, L.K.1
  • 16
    • 0001048294 scopus 로고    scopus 로고
    • A framework for structured quantum search
    • Hogg, T.: A framework for structured quantum search. Physica D 120, 102 (1998)
    • (1998) Physica D , vol.120 , pp. 102
    • Hogg, T.1
  • 18
    • 0028434242 scopus 로고
    • Critical behavior in the satisfiability of random boolean expressions
    • Kirkpatrick, S., Selman, B.: Critical behavior in the satisfiability of random boolean expressions, Science 264, 1297 (1994)
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  • 19
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    • Algorithms for quantum computation: Discrete logarithms and factoring
    • edited by S. Goldwasser, New York: IEEE Computer Society Press
    • Shor, P. W.: Algorithms for quantum computation: Discrete logarithms and factoring. In: Proc. 35th Annual Symposium on Foundations of Computer Science, edited by S. Goldwasser, pp. 124-134, New York: IEEE Computer Society Press, 1994
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    • Shor, P.W.1
  • 23
    • 0007159462 scopus 로고
    • Expected gains from parallelizing constraint solving for hard problems
    • Menlo Park, CA: AAAI Press
    • Williams, C. P., Hogg, T.: Expected Gains from Parallelizing Constraint Solving for Hard Problems, In: Proc. 12th National Conf. on Artificial Intelligence (AAAI'94), pp. 1310-1315, Menlo Park, CA: AAAI Press, 1994
    • (1994) Proc. 12th National Conf. on Artificial Intelligence (AAAI'94) , pp. 1310-1315
    • Williams, C.P.1    Hogg, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.