메뉴 건너뛰기




Volumn 6, Issue 1, 2009, Pages

Quantum algorithms for Simon's problem over nonabelian groups

Author keywords

Hidden subgroup problem; Quantum algorithms

Indexed keywords

CLASSICAL COUNTERPART; COSET STATE; DIHEDRAL GROUPS; FINITE GROUPS; FOURIER SAMPLING; GRAPH ISOMORPHISM; HARMONIC APPROACH; HIDDEN SUBGROUP PROBLEM; NON-ABELIAN GROUPS; PRODUCT STRUCTURE; QUANTUM ALGORITHMS; SIMON'S PROBLEM; STANDARD METHOD; SYMMETRIC GROUPS; TENSOR PRODUCTS; TIME COMPLEXITY;

EID: 74049084945     PISSN: 15496325     EISSN: 15496333     Source Type: Journal    
DOI: 10.1145/1644015.1644034     Document Type: Article
Times cited : (4)

References (22)
  • 2
    • 33748603175 scopus 로고    scopus 로고
    • From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups
    • IEEE Computer Society Press, Los Alamitos, CA
    • BACON, D., CHILDS, A., AND VAN DAM, W. 2005. From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups. In Proceedings of the 46th Symposium on Foundations of Computer Science. IEEE Computer Society Press, Los Alamitos, CA.
    • (2005) Proceedings of the 46th Symposium on Foundations of Computer Science
    • Bacon, D.1    Childs, A.2    Van Dam, W.3
  • 4
    • 0004167856 scopus 로고
    • Number 129 in Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany
    • FULTON, W., AND HARRIS, J. 1991. Representation Theory: A First Course. Number 129 in Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany.
    • (1991) Representation Theory: A First Course
    • Fulton, W.1    Harris, J.2
  • 7
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • HOEFFDING, W. 1963. Probability inequalities for sums of bounded random variables. J. Amer. Stat. Soc. 58, 301, 13-30.
    • (1963) J. Amer. Stat. Soc. , vol.58 , Issue.301 , pp. 13-30
    • Hoeffding, W.1
  • 8
    • 55249118576 scopus 로고    scopus 로고
    • An efficient algorithm for the hidden subgroup problem over a class of semi-direct product groups
    • INUI, Y., AND GALL, F. L. 2004. An efficient algorithm for the hidden subgroup problem over a class of semi-direct product groups. In Proceedings of EQIS.
    • (2004) Proceedings of EQIS
    • Inui, Y.1    Gall, F.L.2
  • 9
    • 20744439021 scopus 로고    scopus 로고
    • Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem
    • IVANYOS, G., MAGNIEZ, F., AND SANTHA, . M. 2003. Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem. Int. J. Found. Comput. Sci. 14, 5, 723-740.
    • (2003) Int. J. Found. Comput. Sci. , vol.14 , Issue.5 , pp. 723-740
    • Ivanyos, G.1    Magniez, F.2    Santha, M.3
  • 11
    • 33644591453 scopus 로고    scopus 로고
    • A subexponential-time quantum algorithm for the dihedral hidden subgroup problem
    • KUPERBERG, G. 2005. A subexponential-time quantum algorithm for the dihedral hidden subgroup problem. SIAM J. Comput. 35, 1, 170-188.
    • (2005) SIAM J. Comput. , vol.35 , Issue.1 , pp. 170-188
    • Kuperberg, G.1
  • 14
    • 33748616171 scopus 로고    scopus 로고
    • Explicit multiregister measurements for hidden subgroup problems; Or, fourier sampling strikes back
    • arXiv.org
    • MOORE, C., AND RUSSELL,A. 2005. Explicit multiregister measurements for hidden subgroup problems; or, fourier sampling strikes back. Tech. Rep. quant-ph/0504067, arXiv.org.
    • (2005) Tech. Rep. quant-ph/0504067
    • Moore, C.1    Russell, A.2
  • 17
    • 0012577633 scopus 로고    scopus 로고
    • Polynomial-time solution to the hidden subgroup problem for a class of non-abelian groups
    • arXiv.org
    • RÖTTELER, M., AND BETH, T. 1998. Polynomial-time solution to the hidden subgroup problem for a class of non-abelian groups. Tech. Rep. quant-ph/9812070, arXiv.org.
    • (1998) Tech. Rep. quant-ph/9812070
    • Rötteler, M.1    Beth, T.2
  • 18
    • 0003823142 scopus 로고
    • Number 203 in Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany
    • SAGAN, B. 1991. The Symmetric Group. Number 203 in Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany.
    • (1991) The Symmetric Group
    • Sagan, B.1
  • 19
    • 0003535571 scopus 로고
    • Number 42 in Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany
    • SERRE, J.-P. 1977. Linear Representations of Finite Groups. Number 42 in Graduate Texts in Mathematics. Springer-Verlag, Berlin, Germany.
    • (1977) Linear Representations of Finite Groups
    • Serre, J.-P.1
  • 20
    • 0142051871 scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • SHOR, P. 1994. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26, 5, 1484-1509.
    • (1994) SIAM J. Comput. , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.1
  • 21
    • 0009438294 scopus 로고    scopus 로고
    • On the power of quantum computation
    • SIMON, D. 1997. On the power of quantum computation. SIAM J. Comput. 26, 5.
    • (1997) SIAM J. Comput. , vol.26 , pp. 5
    • Simon, D.1
  • 22
    • 0004089464 scopus 로고
    • Number 86 in Graduate Texts in Mathematics. Springer-Verlag, New York
    • VAN LINT, J. H. 1992. Introduction to Coding Theory. Number 86 in Graduate Texts in Mathematics. Springer-Verlag, New York.
    • (1992) Introduction to Coding Theory
    • Van Lint, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.