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Volumn 07-09-January-2007, Issue , 2007, Pages 1225-1234

Quantum algorithm for a generalized hidden shift problem

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INTEGER PROGRAMMING; QUANTUM COMPUTERS; QUANTUM THEORY; SUBROUTINES;

EID: 84969179622     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (42)

References (29)
  • 9
    • 0034288481 scopus 로고    scopus 로고
    • On quantum algorithms for noncommutative hidden subgroups
    • arXiv:quant-ph/9807029
    • -, On quantum algorithms for noncommutative hidden subgroups, Advances in Applied Mathematics 25 (2000), no. 3, 239-251. arXiv:quant-ph/9807029.
    • (2000) Advances in Applied Mathematics , vol.25 , Issue.3 , pp. 239-251
    • Ettinger, M.1    Høyer, P.2
  • 11
    • 4043084179 scopus 로고    scopus 로고
    • Quantum solution to the hidden subgroup problem for poly-near-Hamiltonian groups
    • D. Gavinsky, Quantum solution to the hidden subgroup problem for poly-near-Hamiltonian groups, Quantum Information and Computation 4 (2004), no. 3, 229-235.
    • (2004) Quantum Information and Computation , vol.4 , Issue.3 , pp. 229-235
    • Gavinsky, D.1
  • 12
    • 2542631212 scopus 로고    scopus 로고
    • Quantum mechanical algorithms for the nonabelian hidden subgroup problem
    • M. Grigni, L. Schulman, M. Vazirani, and U. Vazirani, Quantum mechanical algorithms for the nonabelian hidden subgroup problem, Combinatorica 24 (2004), no. 1, 137-154.
    • (2004) Combinatorica , vol.24 , Issue.1 , pp. 137-154
    • Grigni, M.1    Schulman, L.2    Vazirani, M.3    Vazirani, U.4
  • 14
    • 0000229839 scopus 로고
    • A 'pretty good' measurement for distinguishing quantum states
    • P. Hausladen and W. K. Wootters, A 'pretty good' measurement for distinguishing quantum states, Journal of Modern Optics 41 (1994), no. 12, 2385-2390.
    • (1994) Journal of Modern Optics , vol.41 , Issue.12 , pp. 2385-2390
    • Hausladen, P.1    Wootters, W.K.2
  • 16
    • 0001679126 scopus 로고
    • On asymptotically optimal hypothesis testing in quantum statistics
    • English translation of Teoriya Veroyatnosteǐ ieee Primeneniya 23 (1978), no. 2, 429-432
    • A. S. Holevo (Kholevo), On asymptotically optimal hypothesis testing in quantum statistics, Theory of Probability and its Applications 23 (1979), no. 2, 411-415. English translation of Teoriya Veroyatnosteǐ ieee Primeneniya 23 (1978), no. 2, 429-432.
    • (1979) Theory of Probability and Its Applications , vol.23 , Issue.2 , pp. 411-415
    • Holevo Kholevo, A.S.1
  • 18
    • 20744439021 scopus 로고    scopus 로고
    • Efficient quantum algorithms for some instances of the non-abelian hidden subgroup problem
    • arXiv:quantph/0102014
    • G. Ivanyos, F. Magniez, and M. Santha, Efficient quantum algorithms for some instances of the non-abelian hidden subgroup problem, International Journal of Foundations of Computer Science 14 (2003), no. 5, 723-739. arXiv:quantph/0102014.
    • (2003) International Journal of Foundations of Computer Science , vol.14 , Issue.5 , pp. 723-739
    • Ivanyos, G.1    Magniez, F.2    Santha, M.3
  • 19
    • 0000126406 scopus 로고
    • Minkowski's convex body theorem and integer programming
    • R. Kannan, Minkowski's convex body theorem and integer programming, Mathematics of Operations Research 12 (1987), no. 3, 415-440.
    • (1987) Mathematics of Operations Research , vol.12 , Issue.3 , pp. 415-440
    • Kannan, R.1
  • 20
  • 21
    • 33644591453 scopus 로고    scopus 로고
    • A subexponential-time quantum algorithm for the dihedral hidden subgroup problem
    • arXiv:quantph/0302112
    • G. Kuperberg, A subexponential-time quantum algorithm for the dihedral hidden subgroup problem, SIAM Journal on Computing 35 (2005), no. 1, 170-188. arXiv:quantph/0302112.
    • (2005) SIAM Journal on Computing , vol.35 , Issue.1 , pp. 170-188
    • Kuperberg, G.1
  • 22
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A. K. Lenstra, H. W. Lenstra, Jr., and L. Lovász, Factoring polynomials with rational coefficients, Mathematische Annalen 261 (1982), no. 4, 515-534.
    • (1982) Mathematische Annalen , vol.261 , Issue.4 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 23
    • 0020845921 scopus 로고
    • Integer programming with a fixed number of variables
    • H. W. Lenstra, Jr., Integer programming with a fixed number of variables, Mathematics of Operations Research 8 (1983), no. 4, 538-548.
    • (1983) Mathematics of Operations Research , vol.8 , Issue.4 , pp. 538-548
    • Lenstra, H.W.1
  • 24
  • 29
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • P. W. Shor, Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer, SIAM Journal on Computing 26 (1997), no. 5, 1484-1509.
    • (1997) SIAM Journal on Computing , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.