메뉴 건너뛰기




Volumn , Issue , 2004, Pages 42-51

Adiabatic quantum computation is equivalent to standard quantum computation

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC QUANTUM COMPUTATION; ADIABATIC SIMULATION; COMPUTATIONAL MODELS; QUANTUM CIRCUITS;

EID: 17744390031     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (149)

References (27)
  • 1
    • 0037770172 scopus 로고    scopus 로고
    • Adiabatic quantum state generation and statistical zero-knowledge
    • D. Aharonov and A. Ta-Shma. Adiabatic quantum state generation and statistical zero-knowledge. In Proc. 35th STOC, pages 20-29, 2003.
    • (2003) Proc. 35th STOC , pp. 20-29
    • Aharonov, D.1    Ta-Shma, A.2
  • 2
    • 0004151496 scopus 로고    scopus 로고
    • Graduate Texts in Mathematics. Springer-Verlag, New York
    • R. Bhatia. Matrix Analysis. Number 169 in Graduate Texts in Mathematics. Springer-Verlag, New York, 1997.
    • (1997) Matrix Analysis. , vol.169
    • Bhatia, R.1
  • 3
    • 0036146412 scopus 로고    scopus 로고
    • Robustness of adiabatic quantum computation
    • A. Childs, E. Farhi, and J. Preskill. Robustness of adiabatic quantum computation. Phys. Rev. A, 65:012322, 2002.
    • (2002) Phys. Rev. A , vol.65 , pp. 012322
    • Childs, A.1    Farhi, E.2    Preskill, J.3
  • 4
    • 0035189687 scopus 로고    scopus 로고
    • How powerful is adiabatic quantum computation?
    • W. van Dam, M. Mosca, and U. Vazirani. How powerful is adiabatic quantum computation? In Proc. 42nd FOCS, pages 279-287, 2001.
    • (2001) Proc. 42nd FOCS , pp. 279-287
    • Van Dam, W.1    Mosca, M.2    Vazirani, U.3
  • 6
    • 17744382035 scopus 로고    scopus 로고
    • Quantum adiabatic evolution algorithms versus simulated annealing
    • lanl-arXive quant-ph/0201031
    • E. Farhi, J. Goldstone, and S. Gutmann. Quantum adiabatic evolution algorithms versus simulated annealing. Technical report, lanl-arXive quant-ph/0201031, 2002.
    • (2002) Technical Report
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3
  • 7
    • 17744382035 scopus 로고    scopus 로고
    • Quantum adiabatic evolution algorithms with different paths
    • lanl-arXive quant-ph/0208135
    • E. Farhi, J. Goldstone, and S. Gutmann. Quantum adiabatic evolution algorithms with different paths. Technical report, lanl-arXive quant-ph/0208135, 2002.
    • (2002) Technical Report
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3
  • 8
    • 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. A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem. Science, 292(5516):472-476, 2001.
    • (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
  • 9
    • 0003872744 scopus 로고    scopus 로고
    • Quantum computation by adiabatic evolution
    • lanl-arXive quant-ph/0001106
    • E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser. Quantum computation by adiabatic evolution. Technical report, lanl-arXive quant-ph/0001106, 2000.
    • (2000) Technical Report
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3    Sipser, M.4
  • 10
    • 0011468813 scopus 로고
    • Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society
    • J. Friedman. Expanding Graphs. Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, 1993.
    • (1993) Expanding Graphs.
    • Friedman, J.1
  • 11
    • 4243807288 scopus 로고    scopus 로고
    • Quantum mechanics helps in searching for a needle in a haystack
    • L. Grover. Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Letters, 79:325, 1997.
    • (1997) Phys. Rev. Letters , vol.79 , pp. 325
    • Grover, L.1
  • 13
    • 0034708243 scopus 로고    scopus 로고
    • Geometric quantum computation with NMR
    • J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli. Geometric quantum computation with NMR. Nature, 403:869-871, 2000.
    • (2000) Nature , vol.403 , pp. 869-871
    • Jones, J.A.1    Vedral, V.2    Ekert, A.3    Castagnoli, G.4
  • 14
    • 0000321758 scopus 로고
    • On the adiabatic theorem of quantum mechanics
    • T. Kato. On the adiabatic theorem of quantum mechanics. J. Phys. Soc. Jap., 5:435-439, 1951.
    • (1951) J. Phys. Soc. Jap. , vol.5 , pp. 435-439
    • Kato, T.1
  • 15
    • 0141640891 scopus 로고    scopus 로고
    • 3-local Hamiltonian is QMA-complete
    • J. Kempe and O. Regev. 3-local Hamiltonian is QMA-complete. Quantum Inf. Comput., 3(3):258-264, 2003.
    • (2003) Quantum Inf. Comput. , vol.3 , Issue.3 , pp. 258-264
    • Kempe, J.1    Regev, O.2
  • 17
    • 0037268624 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation by anyons
    • A. Y. Kitaev. Fault-tolerant quantum computation by anyons. Ann. Physics, 303(1):2-30, 2003.
    • (2003) Ann. Physics , vol.303 , Issue.1 , pp. 2-30
    • Kitaev, A.Y.1
  • 18
    • 0006217743 scopus 로고    scopus 로고
    • Random walks on graphs: A survey
    • Combinatorics, Paul Erdo″s is eighty, Vol. 2 (Keszthely, 1993), János Bolyai Math. Soc., Budapest
    • L. Lovász. Random walks on graphs: a survey. In Combinatorics, Paul Erdo″s is eighty, Vol. 2 (Keszthely, 1993), volume 2 of Bolyai Soc. Math. Stud., pages 353-397. János Bolyai Math. Soc., Budapest, 1996.
    • (1996) Bolyai Soc. Math. Stud. , vol.2 , pp. 353-397
    • Lovász, L.1
  • 21
    • 0035836996 scopus 로고    scopus 로고
    • Quantum holonomies for quantum computing
    • J. Pachos and P. Zanardi. Quantum holonomies for quantum computing. Int.J.Mod.Phys. B, 15:1257-1286, 2001.
    • (2001) Int. J. Mod. Phys. B , vol.15 , pp. 1257-1286
    • Pachos, J.1    Zanardi, P.2
  • 23
    • 4544296206 scopus 로고    scopus 로고
    • The quantum adiabatic optimization algorithm and local minima
    • B. Reichardt. The quantum adiabatic optimization algorithm and local minima. In Proc. 36th STOC, pages 502-510, 2004.
    • (2004) Proc. 36th STOC , pp. 502-510
    • Reichardt, B.1
  • 24
    • 0036542418 scopus 로고    scopus 로고
    • Quantum search by local adiabatic evolution
    • J. Roland and N. Cerf. 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.2
  • 25
    • 0037192472 scopus 로고    scopus 로고
    • Theory of quantum annealing of an Ising spin glass
    • G. Santoro, R. Martonak, E. Tosatti, and R. Car. Theory of quantum annealing of an Ising spin glass. Science, 295:2427-30, 2002.
    • (2002) Science , vol.295 , pp. 2427-2430
    • Santoro, G.1    Martonak, R.2    Tosatti, E.3    Car, R.4
  • 26
    • 85034653955 scopus 로고
    • Approximate counting, uniform generation and rapidly mixing Markov chains
    • Graph-theoretic concepts in computer science (Staffelstein, 1987), Springer, Berlin
    • A. Sinclair and M. Jerrum. Approximate counting, uniform generation and rapidly mixing Markov chains (extended abstract). In Graph-theoretic concepts in computer science (Staffelstein, 1987), volume 314 of Lecture Notes in Comput. Sci., pages 134-148. Springer, Berlin, 1988.
    • (1988) Lecture Notes in Comput. Sci. , vol.314 , pp. 134-148
    • Sinclair, A.1    Jerrum, M.2
  • 27
    • 9744241640 scopus 로고    scopus 로고
    • Improved bounds on the spectral gap above frustration-free ground states of quantum spin chains
    • W. Spitzer and S. Starr. Improved bounds on the spectral gap above frustration-free ground states of quantum spin chains. Lett. Math. Phys., 63(2): 165-177, 2003.
    • (2003) Lett. Math. Phys. , vol.63 , Issue.2 , pp. 165-177
    • Spitzer, W.1    Starr, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.