메뉴 건너뛰기




Volumn 12, Issue 5, 2013, Pages 2027-2070

Quantum adiabatic machine learning

Author keywords

Adiabatic quantum computation; Anomaly detection; Quantum algorithms; Software verification and validation

Indexed keywords

ADIABATIC EVOLUTION; ADIABATIC QUANTUM COMPUTATION; ANOMALY DETECTION; PHYSICAL FEASIBILITY; QUANTUM ALGORITHMS; SOFTWARE VERIFICATION AND VALIDATION; STRONG CLASSIFIERS; TRAINING AND TESTING;

EID: 84876503351     PISSN: 15700755     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11128-012-0506-4     Document Type: Article
Times cited : (146)

References (53)
  • 2
    • 8344269350 scopus 로고    scopus 로고
    • Equivalences and separations between quantum and classical learnability
    • 1101.68623 10.1137/S0097539704412910 2084480
    • Servedio, R.A., Gortler, S.J.: Equivalences and separations between quantum and classical learnability. SIAM J. Comput. 33, 1067 (2004)
    • (2004) SIAM J. Comput. , vol.33 , pp. 1067
    • Servedio, R.A.1    Gortler, S.J.2
  • 9
    • 0001654941 scopus 로고
    • Notes on structured programming
    • O-J Dahl E.W. Dijkstra C.A.R. Hoare (eds) Academic Press New York
    • Dijkstra, E.W.: Notes on structured programming. In: Dahl, O.-J., Dijkstra, E.W., Hoare, C.A.R. (eds.) Structured Programming, p. 1. Academic Press, New York (1972)
    • (1972) Structured Programming , pp. 1
    • Dijkstra, E.W.1
  • 14
    • 0030242266 scopus 로고    scopus 로고
    • The combinatorial design approach to automatic test generation
    • 10.1109/52.536462
    • Cohen, D.M., Dalal, S.R., Parelius, J., Patton, G.C.: The combinatorial design approach to automatic test generation. Softw. IEEE 13, 83 (1996)
    • (1996) Softw. IEEE , vol.13 , pp. 83
    • Cohen, D.M.1    Dalal, S.R.2    Parelius, J.3    Patton, G.C.4
  • 16
    • 58549101153 scopus 로고    scopus 로고
    • Efficiently checking propositional refutations in HOL theorem provers
    • 1171.68041 10.1016/j.jal.2007.07.003 2498640
    • Weber, T., Amjad, H.: Efficiently checking propositional refutations in HOL theorem provers. J. Appl. Log. 7, 26 (2009)
    • (2009) J. Appl. Log. , vol.7 , pp. 26
    • Weber, T.1    Amjad, H.2
  • 20
    • 0025448521 scopus 로고
    • The strength of weak learnability
    • Schapire, R.E.: The strength of weak learnability. Mach. Learn. 5, 197 (1990)
    • (1990) Mach. Learn. , vol.5 , pp. 197
    • Schapire, R.E.1
  • 22
    • 0035917832 scopus 로고    scopus 로고
    • A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
    • 2001Sci.292.472F 1226.81046 10.1126/science.1057726 1838761
    • Farhi, E., Goldstone, J., Gutmann, S., Lapan, J., Lundgren, A., Preda, D.: A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem. Science 292(5516), 472 (2001)
    • (2001) Science , vol.292 , Issue.5516 , pp. 472
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3    Lapan, J.4    Lundgren, A.5    Preda, D.6
  • 23
    • 38349169118 scopus 로고    scopus 로고
    • Adiabatic quantum computation is equivalent to standard quantum computation
    • 1134.81009 10.1137/S0097539705447323 2306288
    • Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., Regev, O.: Adiabatic quantum computation is equivalent to standard quantum computation. SIAM J. Comput. 37, 166 (2007)
    • (2007) SIAM J. Comput. , vol.37 , pp. 166
    • Aharonov, D.1    Van Dam, W.2    Kempe, J.3    Landau, Z.4    Lloyd, S.5    Regev, O.6
  • 24
    • 34548080068 scopus 로고    scopus 로고
    • Simple proof of equivalence between adiabatic quantum computation and the circuit model
    • 2007PhRvL.99g0502M 10.1103/PhysRevLett.99.070502
    • Mizel, A., Lidar, D.A., Mitchell, M.: Simple proof of equivalence between adiabatic quantum computation and the circuit model. Phys. Rev. Lett. 99, 070502 (2007)
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 070502
    • Mizel, A.1    Lidar, D.A.2    Mitchell, M.3
  • 25
    • 33750968768 scopus 로고    scopus 로고
    • Error-correcting codes for adiabatic quantum computation
    • 2006PhRvA.74e2322J 10.1103/PhysRevA.74.052322 2288088
    • Jordan, S.P., Farhi, E., Shor, P.W.: Error-correcting codes for adiabatic quantum computation. Phys. Rev. A 74, 052322 (2006)
    • (2006) Phys. Rev. A , vol.74 , pp. 052322
    • Jordan, S.P.1    Farhi, E.2    Shor, P.W.3
  • 26
    • 42549087705 scopus 로고    scopus 로고
    • Towards fault tolerant adiabatic quantum computation
    • 2008PhRvL.100p0506L 10.1103/PhysRevLett.100.160506
    • Lidar, Daniel A.: Towards fault tolerant adiabatic quantum computation. Phys. Rev. Lett. 100, 160506 (2008)
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 160506
    • Lidar, D.A.1
  • 27
    • 0036146412 scopus 로고    scopus 로고
    • Robustness of adiabatic quantum computation
    • 10.1103/PhysRevA.65.012322
    • Childs, Andrew M., Edward, Farhi, John, Preskill: Robustness of adiabatic quantum computation. Phys. Rev. A 65, 012322 (2001)
    • (2001) Phys. Rev. A , vol.65 , pp. 012322
    • Childs, A.M.1    Edward, F.2    John, P.3
  • 28
    • 29144522316 scopus 로고    scopus 로고
    • Adiabatic quantum computation in open systems
    • 2005PhRvL.95y0503S 10.1103/PhysRevLett.95.250503
    • Sarandy, M.S., Lidar, D.A.: Adiabatic quantum computation in open systems. Phys. Rev. Lett. 95, 250503 (2005)
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 250503
    • Sarandy, M.S.1    Lidar, D.A.2
  • 29
    • 77954739016 scopus 로고    scopus 로고
    • On the use of computational geometry to detect software faults at runtime
    • June 711. Washington, DC, USA
    • Stehle, E., Lynch, K., Shevertalov, M., Rorres, C., Mancoridis, S.: On the use of computational geometry to detect software faults at runtime. ICAC10, June 711. Washington, DC, USA (2010)
    • (2010) ICAC10
    • Stehle, E.1    Lynch, K.2    Shevertalov, M.3    Rorres, C.4    Mancoridis, S.5
  • 30
  • 32
    • 36749047332 scopus 로고    scopus 로고
    • Supervised machine learning: A review of classification techniques
    • 1162.68552 2350486
    • Kotsiantis, S.B.: Supervised machine learning: A review of classification techniques. Informatica 31, 249 (2007)
    • (2007) Informatica , vol.31 , pp. 249
    • Kotsiantis, S.B.1
  • 33
    • 25144492516 scopus 로고    scopus 로고
    • Efficient feature selection via analysis of relevance and redundancy
    • 1222.68340
    • Yu, L., Liu, H.: Efficient feature selection via analysis of relevance and redundancy. J. Mach. Learn. Res. 5, 1205 (2004)
    • (2004) J. Mach. Learn. Res. , vol.5 , pp. 1205
    • Yu, L.1    Liu, H.2
  • 34
    • 0242666971 scopus 로고    scopus 로고
    • Data preparation for data mining
    • 10.1080/713827180
    • Zhang, S., Zhang, C., Yang, Q.: Data preparation for data mining. Appl. Artif. Intell. 17, 375 (2003)
    • (2003) Appl. Artif. Intell. , vol.17 , pp. 375
    • Zhang, S.1    Zhang, C.2    Yang, Q.3
  • 36
    • 0346786584 scopus 로고    scopus 로고
    • Arcing classifiers
    • 0934.62064 10.1214/aos/1024691079 1635406
    • Breiman, L.: Arcing classifiers. Ann. Stat. 26, 801 (1998)
    • (1998) Ann. Stat. , vol.26 , pp. 801
    • Breiman, L.1
  • 38
    • 48349143593 scopus 로고    scopus 로고
    • Realizable Hamiltonians for universal adiabatic quantum computers
    • 2008PhRvA.78a2352B 10.1103/PhysRevA.78.012352 2491114
    • Biamonte, J.D., Peter, Love: Realizable Hamiltonians for universal adiabatic quantum computers. Phys. Rev. A 78, 012352 (2008)
    • (2008) Phys. Rev. A , vol.78 , pp. 012352
    • Biamonte, J.D.1    Peter, L.2
  • 39
    • 55849152053 scopus 로고    scopus 로고
    • Minor-embedding in adiabatic quantum computation: I. The parameter setting problem
    • 1160.81326 10.1007/s11128-008-0082-9 2453604
    • Choi, V.: Minor-embedding in adiabatic quantum computation: I. The parameter setting problem. Quantum Inf. Process. 7, 193 (2008)
    • (2008) Quantum Inf. Process. , vol.7 , pp. 193
    • Choi, V.1
  • 44
    • 36148972519 scopus 로고    scopus 로고
    • Bounds for the adiabatic approximation with applications to quantum computation
    • 2007JMP.48j2111J 10.1063/1.2798382 2362776
    • Jansen, S., Ruskai, M.-B., Seiler, R.: Bounds for the adiabatic approximation with applications to quantum computation. J. Math. Phys. 48, 102111 (2007)
    • (2007) J. Math. Phys. , vol.48 , pp. 102111
    • Jansen, S.1    Ruskai, M.-B.2    Seiler, R.3
  • 45
    • 70350733237 scopus 로고    scopus 로고
    • Adiabatic approximation with exponential accuracy for many-body systems and quantum computation
    • 2009JMP.50j2106L 10.1063/1.3236685 2573104
    • Lidar, D.A., Rezakhani, A.T., Hamma, A.: Adiabatic approximation with exponential accuracy for many-body systems and quantum computation. J. Math. Phys. 50, 102106 (2009)
    • (2009) J. Math. Phys. , vol.50 , pp. 102106
    • Lidar, D.A.1    Rezakhani, A.T.2    Hamma, A.3
  • 46
    • 0036542418 scopus 로고    scopus 로고
    • Quantum search by local adiabatic evolution
    • 2002PhRvA.65d2308R 10.1103/PhysRevA.65.042308
    • Roland, J., Cerf, N.J.: Quantum search by local adiabatic evolution. Phys. Rev. A 65, 042308 (2002)
    • (2002) Phys. Rev. A , vol.65 , pp. 042308
    • Roland, J.1    Cerf, N.J.2
  • 47
    • 78649603842 scopus 로고    scopus 로고
    • Accuracy versus run time in an adiabatic quantum search
    • 2010PhRvA.82e2305R 10.1103/PhysRevA.82.052305
    • Rezakhani, A.T., Pimachev, A.K., Lidar, D.A.: Accuracy versus run time in an adiabatic quantum search. Phys. Rev. A 82, 052305 (2010)
    • (2010) Phys. Rev. A , vol.82 , pp. 052305
    • Rezakhani, A.T.1    Pimachev, A.K.2    Lidar, D.A.3
  • 48
    • 55049087841 scopus 로고    scopus 로고
    • Size dependence of the minimum excitation gap in the quantum adiabatic algorithm
    • 2008PhRvL.101q0503Y 10.1103/PhysRevLett.101.170503
    • Young, A.P., Knysh, S., Smelyanskiy, V.N.: Size dependence of the minimum excitation gap in the quantum adiabatic algorithm. Phys. Rev. Lett. 101, 170503 (2008)
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 170503
    • Young, A.P.1    Knysh, S.2    Smelyanskiy, V.N.3
  • 49
    • 1842754144 scopus 로고
    • On the number of symmetry types of Boolean functions of N variables
    • 0051.24802 10.4153/CJM-1953-020-x 56560
    • Slepian, D.: On the number of symmetry types of Boolean functions of N variables. Can. J. Math. 5, 185 (1953)
    • (1953) Can. J. Math. , vol.5 , pp. 185
    • Slepian, D.1
  • 50
    • 0022769976 scopus 로고
    • Graph-based algorithms for Boolean function manipulation
    • 10.1109/TC.1986.1676819
    • Bryant, R.E.: Graph-based algorithms for Boolean function manipulation. IEEE Trans. Comput. C-35, 677 (1986)
    • (1986) IEEE Trans. Comput. , vol.C-35 , pp. 677
    • Bryant, R.E.1
  • 51
    • 45749104091 scopus 로고    scopus 로고
    • Perturbative gadgets at arbitrary orders
    • 2008PhRvA.77f2329J 10.1103/PhysRevA.77.062329
    • Jordan, Stephen P., Edward, Farhi: Perturbative gadgets at arbitrary orders. Phys. Rev. A 77, 062329 (2008)
    • (2008) Phys. Rev. A , vol.77 , pp. 062329
    • Jordan, S.P.1    Edward, F.2
  • 53
    • 77954894480 scopus 로고    scopus 로고
    • Intrinsic geometry of quantum adiabatic evolution and quantum phase transitions
    • 2010PhRvA.82a2321R 10.1103/PhysRevA.82.012321
    • Rezakhani, A.T., Abasto, D.F., Lidar, D.A., Zanardi, P.: Intrinsic geometry of quantum adiabatic evolution and quantum phase transitions. Phys. Rev. A 82, 012321 (2010)
    • (2010) Phys. Rev. A , vol.82 , pp. 012321
    • Rezakhani, A.T.1    Abasto, D.F.2    Lidar, D.A.3    Zanardi, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.