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Volumn 11, Issue 7-8, 2011, Pages 638-648

Different adiabatic quantum optimization algorithms for the NP-complete exact cover and 3SAT problems

Author keywords

3SAT; Adiabatic quantum algorithms; Adiabatic quantum optimization; Exact cover; Maximum independent set; NP complete

Indexed keywords

NP-HARD; POLYNOMIALS; QUANTUM COMPUTERS; QUANTUM THEORY;

EID: 79959302399     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (25)
  • 1
    • 0002642964 scopus 로고
    • Algorithms for quantum computation: Discrete logs and factoring
    • Proc. 35th FOCS
    • P.W. Shor (1994;1997), Algorithms for quantum computation: discrete logs and factoring, Proc. 35th FOCS; SIAM J. Comp., 26, 1484-1509.
    • (1994) SIAM J. Comp , vol.26 , pp. 1484-1509
    • Shor, P.W.1
  • 4
    • 0035917832 scopus 로고    scopus 로고
    • A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
    • E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda (2001), A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem, Science, 292(5516):472-476.
    • (2001) Science , vol.292 , Issue.5516 , pp. 472-476
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3    Lapan, J.4    Lundgren, A.5    Preda, D.6
  • 5
    • 33747619871 scopus 로고    scopus 로고
    • Optimization using quantum mechanics: Quantum annealing through adiabatic evolution
    • G.E. Santoro and E. Tosatti (2006), Optimization using quantum mechanics: quantum annealing through adiabatic evolution, J. Phys. A: Math. Gen., 39, 393-431.
    • (2006) J. Phys. A: Math. Gen , vol.39 , pp. 393-431
    • Santoro, G.E.1    Tosatti, E.2
  • 6
    • 44449098748 scopus 로고    scopus 로고
    • Corrigendum: Optimization using quantum mechanics: Quantum annealing through adiabatic evolution
    • G.E. Santoro and E. Tosatti (2008), Corrigendum: Optimization using quantum mechanics: quantum annealing through adiabatic evolution, J. Phys. A: Math. Theor., 41.
    • (2008) J. Phys. A: Math. Theor , pp. 41
    • Santoro, G.E.1    Tosatti, E.2
  • 7
    • 38349169118 scopus 로고    scopus 로고
    • Adiabatic quantum computation is equivalent to standard quantum computation
    • Proc. 45th FOCS
    • D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev (2004;2007), Adiabatic quantum computation is equivalent to standard quantum computation, Proc. 45th FOCS; SIAM Journal of Computing, Vol. 37, Issue 1, p. 166-194.
    • (2004) SIAM Journal of Computing , vol.37 , Issue.1 , pp. 166-194
    • Aharonov, D.1    van Dam, W.2    Kempe, J.3    Landau, Z.4    Lloyd, S.5    Regev, O.6
  • 8
    • 34548080068 scopus 로고    scopus 로고
    • Simple Proof of Equivalence Between Adiabatic Quantum Computation and the Circuit Model
    • A. Mizel, D.A. Lidar, and M. Mitchell (2007), Simple Proof of Equivalence Between Adiabatic Quantum Computation and the Circuit Model, Phys. Rev. Lett., 99, 070502.
    • (2007) Phys. Rev. Lett , vol.99 , pp. 070502
    • Mizel, A.1    Lidar, D.A.2    Mitchell, M.3
  • 9
    • 77955454198 scopus 로고    scopus 로고
    • Anderson localization makes adiabatic quantum optimization fail
    • B. Altshuler, H. Krovi and J. Roland (2010), Anderson localization makes adiabatic quantum optimization fail, Proc Natl Acad Sci USA, 107(28): 12446-12450.
    • (2010) Proc Natl Acad Sci USA , vol.107 , Issue.28 , pp. 12446-12450
    • Altshuler, B.1    Krovi, H.2    Roland, J.3
  • 15
    • 55849152053 scopus 로고    scopus 로고
    • Minor-embedding in adiabatic quantum computation: I. The parameter setting problem
    • V. Choi (2008), Minor-embedding in adiabatic quantum computation: I. The parameter setting problem, Quantum Inf. Processing, 7, 193-209.
    • (2008) Quantum Inf. Processing , vol.7 , pp. 193-209
    • Choi, V.1
  • 16
    • 74549157899 scopus 로고    scopus 로고
    • First order phase transition in the quantum adiabatic algorithm
    • A. P. Young and S. Knysh and V. N. Smelyanskiy (2009), First order phase transition in the quantum adiabatic algorithm, Phys. Rev. Lett., 104, 020502.
    • (2009) Phys. Rev. Lett , vol.104 , pp. 020502
    • Young, A.P.1    Knysh, S.2    Smelyanskiy, V.N.3
  • 17
    • 79952578039 scopus 로고    scopus 로고
    • Difierent adiabatic quantum optimization algorithms for the NP-complete exact cover problem
    • V. Choi (2011), Difierent adiabatic quantum optimization algorithms for the NP-complete exact cover problem, Proc Natl Acad Sci USA, 108(7): E19-E20.
    • (2011) Proc Natl Acad Sci USA , vol.108 , Issue.7
    • Choi, V.1
  • 19
    • 72149129752 scopus 로고    scopus 로고
    • First order phase transition in adiabatic quantum computation
    • M.H.S. Amin, V. Choi (2009), First order phase transition in adiabatic quantum computation, Phys. Rev. A, 80, 062326.
    • (2009) Phys. Rev. A , vol.80 , pp. 062326
    • Amin, M.H.S.1    Choi, V.2
  • 20
    • 53549089304 scopus 로고    scopus 로고
    • Simple glass models and their quantum annealing
    • T. Jorg, F. Krzakala, J. Kurchan and A. C. Maggs (2008), Simple glass models and their quantum annealing, Phys. Rev. Lett., 101, 147204.
    • (2008) Phys. Rev. Lett , vol.101 , pp. 147204
    • Jorg, T.1    Krzakala, F.2    Kurchan, J.3    Maggs, A.C.4
  • 21
    • 77953083534 scopus 로고    scopus 로고
    • First-order transitions and the performance of quantum algorithms in random optimization problems
    • T. Jorg, F. Krzakala, G. Semerjian and F. Zamponi (2010), First-order transitions and the performance of quantum algorithms in random optimization problems, Phys. Rev. Lett., 104, 207206.
    • (2010) Phys. Rev. Lett , vol.104 , pp. 207206
    • Jorg, T.1    Krzakala, F.2    Semerjian, G.3    Zamponi, F.4
  • 22
    • 33144479674 scopus 로고    scopus 로고
    • Exponential complexity of an adiabatic algorithm for an NP-complete problem
    • Marko Znidaric and Martin Horvat (2006), Exponential complexity of an adiabatic algorithm for an NP-complete problem, Phys. Rev. A, 73, 022329.
    • (2006) Phys. Rev. A , vol.73 , pp. 022329
    • Znidaric, M.1    Horvat, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.