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Volumn 3580, Issue , 2005, Pages 1399-1411

On the power of random bases in fourier sampling: Hidden subgroup problem in the Heisenberg group

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; POLYNOMIALS; PROBLEM SOLVING; QUANTUM THEORY; RANDOM PROCESSES;

EID: 26444514403     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11523468_113     Document Type: Conference Paper
Times cited : (15)

References (20)
  • 4
    • 2642588230 scopus 로고    scopus 로고
    • The quantum query complexity of the hidden subgroup problem is polynomial
    • [EHK04]. See also ArXiv preprint quant-ph/0401083
    • [EHK04] M. Ettinger, P. Høyer, and E. Knill. The quantum query complexity of the hidden subgroup problem is polynomial. Information Processing Letters, 91(1):43-48, 2004. See also ArXiv preprint quant-ph/0401083.
    • (2004) Information Processing Letters , vol.91 , Issue.1 , pp. 43-48
    • Ettinger, M.1    Høyer, P.2    Knill, E.3
  • 6
    • 0345731469 scopus 로고    scopus 로고
    • Pseudo-random unitary operators for quantum information processing
    • +03]
    • +03] J. Emerson, Y. Weinstein, M. Saraceno, S. Lloyd, and D. Cory. Pseudo-Random unitary operators for quantum information processing. Science, 302:2098-2100, 2003.
    • (2003) Science , vol.302 , pp. 2098-2100
    • Emerson, J.1    Weinstein, Y.2    Saraceno, M.3    Lloyd, S.4    Cory, D.5
  • 8
    • 4043084179 scopus 로고    scopus 로고
    • Quantum solution to the hidden subgroup problem for poly-near-Hamiltonian groups
    • [Gav04]
    • [Gav04] D. Gavinsky. Quantum solution to the hidden subgroup problem for poly-near-Hamiltonian groups. Quantum Information and Computation, 4(3):229-235, 2004.
    • (2004) Quantum Information and Computation , vol.4 , Issue.3 , pp. 229-235
    • Gavinsky, D.1
  • 9
    • 2542631212 scopus 로고    scopus 로고
    • Quantum mechanical algorithms for the nonabelian hidden subgroup problem
    • [GSVV04]
    • [GSVV04] M. Grigni, L. Schulman, M. Vazirani, and U. Vazirani. Quantum mechanical algorithms for the nonabelian hidden subgroup problem. Combinatorica, pages 137-154, 2004.
    • (2004) Combinatorica , pp. 137-154
    • Grigni, M.1    Schulman, L.2    Vazirani, M.3    Vazirani, U.4
  • 10
    • 0141534114 scopus 로고    scopus 로고
    • The hidden subgroup problem and quantum computation using group representations
    • [HRTS03]
    • [HRTS03] S. Hallgren, A. Russell, and A. Ta-Shma. The Hidden Subgroup Problem and Quantum Computation Using Group Representations. SIAM Journal on Computing, 32(4):916-934, 2003.
    • (2003) SIAM Journal on Computing , vol.32 , Issue.4 , pp. 916-934
    • Hallgren, S.1    Russell, A.2    Ta-Shma, A.3
  • 11
  • 15
    • 0003993744 scopus 로고    scopus 로고
    • [Mat02]. Graduate Texts in Mathematics. Springer-Verlag
    • [Mat02] J. Matoušek. Lectures on Discrete Geometry. Graduate Texts in Mathematics. Springer-Verlag, 2002.
    • (2002) Lectures on Discrete Geometry
    • Matoušek, J.1
  • 20
    • 0004586188 scopus 로고
    • Optimal state-determination by mutually unbiased measurements
    • [WF89]
    • [WF89] W. Wootters and B. Fields. Optimal state-determination by mutually unbiased measurements. Ann. Physics, 191(2):363-381, 1989.
    • (1989) Ann. Physics , vol.191 , Issue.2 , pp. 363-381
    • Wootters, W.1    Fields, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.