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Volumn 461, Issue 2063, 2005, Pages 3473-3482

Quantum computing, postselection, and probabilistic polynomial-time

Author keywords

Born's rule; Computational complexity; Quantum computers

Indexed keywords

COMPUTATIONAL COMPLEXITY; INDIUM COMPOUNDS; PUMPING PLANTS; QUANTUM COMPUTERS; QUANTUM OPTICS; QUANTUM THEORY;

EID: 34247511667     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2005.1546     Document Type: Article
Times cited : (300)

References (34)
  • 2
    • 4544265136 scopus 로고    scopus 로고
    • Lower bounds for local search by quantum arguments
    • Aaronson, S. 2004 Lower bounds for local search by quantum arguments. In Proc. ACM STOC, pp. 465-474. (www.arxiv.org/abs/quant-ph/0307149.)
    • (2004) Proc. ACM STOC , pp. 465-474
    • Aaronson, S.1
  • 4
    • 33748590174 scopus 로고    scopus 로고
    • Limitations of quantum advice and one-way communication
    • quant-ph/0402095
    • Aaronson, S. 2005 Limitations of quantum advice and one-way communication. Theory of Computing 1, 1-28. (www.arxiv.org/abs/ quant-ph/0402095.)
    • (2005) Theory of Computing , vol.1 , pp. 1-28
    • Aaronson, S.1
  • 5
    • 0001044763 scopus 로고    scopus 로고
    • Abrams, D. S. and Lloyd, S. 1998 Nonlinear quantum mechanics implies polynomial-time solution for NP-complete and #P problems. Phys. Rev. Lett. 81, 3992-3995. (www.arxiv.org/abs/quantph/9801041.) (doi:10.1103/PhysRevLett.81.3992.)
    • Abrams, D. S. and Lloyd, S. 1998 Nonlinear quantum mechanics implies polynomial-time solution for NP-complete and #P problems. Phys. Rev. Lett. 81, 3992-3995. (www.arxiv.org/abs/quantph/9801041.) (doi:10.1103/PhysRevLett.81.3992.)
  • 6
    • 5544263287 scopus 로고    scopus 로고
    • Quantum computability
    • doi:10.1137/S0097539795293639
    • Adleman, L., DeMarrais, J. and Huang, M. D. 1997 Quantum computability. SIAM J. Comput. 26, 1524-1540. (doi:10.1137/S0097539795293639.)
    • (1997) SIAM J. Comput , vol.26 , pp. 1524-1540
    • Adleman, L.1    DeMarrais, J.2    Huang, M.D.3
  • 9
    • 17744382015 scopus 로고    scopus 로고
    • Lattice problems in NP intersect coNP
    • Aharonov, D. and Regev, O. 2004 Lattice problems in NP intersect coNP. In Proc. IEEE FOCS, 362-371.
    • (2004) Proc. IEEE FOCS , pp. 362-371
    • Aharonov, D.1    Regev, O.2
  • 10
    • 0038384210 scopus 로고    scopus 로고
    • Beigel, R. 1994 Perceptrons, PP, and the polynomial hierarchy. Computational Complexity 4, 339-349. (doi:10.1007/BF01263422.)
    • Beigel, R. 1994 Perceptrons, PP, and the polynomial hierarchy. Computational Complexity 4, 339-349. (doi:10.1007/BF01263422.)
  • 11
    • 0029289492 scopus 로고
    • PP is closed under intersection
    • doi:10.1006/jcss.1995.1017
    • Beigel, R., Reingold, N. and Spielman, D. 1995 PP is closed under intersection. J. Comput. Sys. Sci. 50, 191-202. (doi:10.1006/jcss.1995.1017.)
    • (1995) J. Comput. Sys. Sci , vol.50 , pp. 191-202
    • Beigel, R.1    Reingold, N.2    Spielman, D.3
  • 12
    • 5544255325 scopus 로고    scopus 로고
    • Quantum complexity theory
    • doi:10.1137/S0097539796300921
    • Bernstein, E. and Vazirani, U. 1997 Quantum complexity theory. SIAM J. Comput. 26, 1411-1473. (doi:10.1137/S0097539796300921.)
    • (1997) SIAM J. Comput , vol.26 , pp. 1411-1473
    • Bernstein, E.1    Vazirani, U.2
  • 13
    • 0035981736 scopus 로고    scopus 로고
    • Unknown quantum states: The quantum de Finetti representation
    • doi:10.1063/1.1494475
    • Caves, C. M., Fuchs, C. A. and Schack, R. 2002 Unknown quantum states: the quantum de Finetti representation. J. Math. Phys. 45, 4537-4559. (doi:10.1063/1.1494475.)
    • (2002) J. Math. Phys , vol.45 , pp. 4537-4559
    • Caves, C.M.1    Fuchs, C.A.2    Schack, R.3
  • 14
    • 33746443314 scopus 로고    scopus 로고
    • Quantum theory of probability and decisions
    • doi:10.1098/rspa.1999.0443
    • Deutsch, D. 1999 Quantum theory of probability and decisions. Proc. R. Soc. A 455, 3129-3137. (doi:10.1098/rspa.1999.0443.)
    • (1999) Proc. R. Soc. A , vol.455 , pp. 3129-3137
    • Deutsch, D.1
  • 15
    • 0001159592 scopus 로고    scopus 로고
    • Determining acceptance possibility for a quantum computation is hard for the polynomial hierarchy
    • doi:10.1098/rspa.1999. 0485
    • Fenner, S., Green, F., Homer, S. and Pruim, R. 1999 Determining acceptance possibility for a quantum computation is hard for the polynomial hierarchy. Proc. R. Soc. A 455, 3953-3966. (doi:10.1098/rspa.1999. 0485.)
    • (1999) Proc. R. Soc. A , vol.455 , pp. 3953-3966
    • Fenner, S.1    Green, F.2    Homer, S.3    Pruim, R.4
  • 16
    • 85020820939 scopus 로고    scopus 로고
    • log. Wednesday, October 30, Available at
    • Fortnow, L. 2002 My computational complexity web log. Wednesday, October 30, 2002. Available at http://weblog.fortnow.com.
    • (2002) My computational complexity web
    • Fortnow, L.1
  • 17
    • 0004444840 scopus 로고    scopus 로고
    • PP is closed under truth-table reductions
    • doi:10.1006/inco.1996.0001
    • Fortnow, L. and Reingold, N. 1996 PP is closed under truth-table reductions. Information and Computation 124, 1-6. (doi:10.1006/inco.1996.0001.)
    • (1996) Information and Computation , vol.124 , pp. 1-6
    • Fortnow, L.1    Reingold, N.2
  • 18
    • 0032597113 scopus 로고    scopus 로고
    • Fortnow, L. and Rogers, J. 1999 Complexity limitations on quantum computation. J. Comput. Sys. Sci. 59, 240-252. (www.arxiv.org/abs/cs. CC/9811023.) (doi:10.1006/jcss.1999.1651.)
    • Fortnow, L. and Rogers, J. 1999 Complexity limitations on quantum computation. J. Comput. Sys. Sci. 59, 240-252. (www.arxiv.org/abs/cs. CC/9811023.) (doi:10.1006/jcss.1999.1651.)
  • 20
    • 0000595574 scopus 로고
    • Computational complexity of probabilistic Turing machines
    • doi:10.1137/0206049
    • Gill, J. 1977 Computational complexity of probabilistic Turing machines. SIAM J. Comput. 6, 675-695. (doi:10.1137/0206049.)
    • (1977) SIAM J. Comput , vol.6 , pp. 675-695
    • Gill, J.1
  • 21
    • 0002830776 scopus 로고
    • Weinberg's non-linear quantum mechanics and superluminal communications
    • doi:10.1016/0375-9601 (90) 90786-N
    • Gisin, N. 1990 Weinberg's non-linear quantum mechanics and superluminal communications. Phys. Lett. A 143, 1-2. (doi:10.1016/0375-9601 (90) 90786-N.)
    • (1990) Phys. Lett. A , vol.143 , pp. 1-2
    • Gisin, N.1
  • 22
    • 0000278073 scopus 로고
    • Measures on the closed subspaces of a Hilbert space
    • Gleason, A. M. 1957 Measures on the closed subspaces of a Hilbert space. J. Math. Mech. 6, 885-893.
    • (1957) J. Math. Mech , vol.6 , pp. 885-893
    • Gleason, A.M.1
  • 23
    • 0009404434 scopus 로고    scopus 로고
    • Threshold computation and cryptographic security
    • doi:10.1137/S0097539792240467
    • Han, Y., Hemaspaandra, L. and Thierauf, T. 1997 Threshold computation and cryptographic security. SIAM J. Comput. 26, 59-78. (doi:10.1137/S0097539792240467.)
    • (1997) SIAM J. Comput , vol.26 , pp. 59-78
    • Han, Y.1    Hemaspaandra, L.2    Thierauf, T.3
  • 25
    • 0000844603 scopus 로고    scopus 로고
    • Some optimal inapproximability results
    • doi:10.1145 /502090.502098
    • Håstad, J. 2001 Some optimal inapproximability results. J. ACM 48, 798-859. (doi:10.1145 /502090.502098.)
    • (2001) J. ACM , vol.48 , pp. 798-859
    • Håstad, J.1
  • 26
    • 0038107747 scopus 로고    scopus 로고
    • Exponential lower bound for 2-query locally decodable codes via a quantum argument
    • 0208062
    • Kerenidis, I. and de Wolf, R. 2003 Exponential lower bound for 2-query locally decodable codes via a quantum argument. In Proc. ACM STOC, pp. 106-115. (www.arxiv.org/abs/quant-ph /0208062.)
    • (2003) Proc. ACM STOC , pp. 106-115
    • Kerenidis, I.1    de Wolf, R.2
  • 27
    • 0040052002 scopus 로고    scopus 로고
    • Quantum computation: Algorithms and error correction
    • Kitaev, A. 1997 Quantum computation: algorithms and error correction. Russian Math. Surveys 52, 1191-1249.
    • (1997) Russian Math. Surveys , vol.52 , pp. 1191-1249
    • Kitaev, A.1
  • 28
    • 85020811531 scopus 로고    scopus 로고
    • Li, L. 1993 On the counting functions. Ph. D. thesis, University of Chicago.
    • Li, L. 1993 On the counting functions. Ph. D. thesis, University of Chicago.
  • 29
    • 12044257940 scopus 로고
    • Weinberg's nonlinear quantum mechanics and the Einstein-Podolsky-Rosen paradox
    • doi:10.1103/PhysRevLett.66.397
    • Polchinski, J. 1991 Weinberg's nonlinear quantum mechanics and the Einstein-Podolsky-Rosen paradox. Phys. Rev. Lett. 66, 397-400. (doi:10.1103/PhysRevLett.66.397.)
    • (1991) Phys. Rev. Lett , vol.66 , pp. 397-400
    • Polchinski, J.1
  • 30
    • 34848865701 scopus 로고    scopus 로고
    • Undirected ST-connectivity in log-space
    • Reingold, O. 2005 Undirected ST-connectivity in log-space. In Proc. ACM STOC, pp. 376-385.
    • (2005) Proc. ACM STOC , pp. 376-385
    • Reingold, O.1
  • 31
    • 0141595186 scopus 로고    scopus 로고
    • Both Toffoli and controlled-NOT need little help to do universal quantum computation
    • 0205115
    • Shi, Y. 2002 Both Toffoli and controlled-NOT need little help to do universal quantum computation. Quantum Information and Computation 3, 84-92. (www.arxiv.org/abs/quant-ph /0205115.)
    • (2002) Quantum Information and Computation , vol.3 , pp. 84-92
    • Shi, Y.1
  • 32
    • 2442419277 scopus 로고    scopus 로고
    • Adaptive quantum computation, constant-depth circuits and Arthur-Merlin games
    • abs/quant-ph/0205133
    • Terhal, B. M. and DiVincenzo, D. P. 2004 Adaptive quantum computation, constant-depth circuits and Arthur-Merlin games. Quantum Information and Computation 4, 134-145. (www.arxiv.org /abs/quant-ph/0205133.)
    • (2004) Quantum Information and Computation , vol.4 , pp. 134-145
    • Terhal, B.M.1    DiVincenzo, D.P.2
  • 33
    • 0034513686 scopus 로고    scopus 로고
    • Succinct quantum proofs for properties of finite groups
    • CC/0009002
    • Watrous, J. 2000 Succinct quantum proofs for properties of finite groups. In Proc. IEEE FOCS, pp. 537-546. (www.arxiv.org/abs/cs. CC/0009002.)
    • (2000) Proc. IEEE FOCS , pp. 537-546
    • Watrous, J.1
  • 34
    • 0038397513 scopus 로고    scopus 로고
    • Zurek, W. H. 2003 Environment-assisted invariance, causality, and probabilities in quantum physics. Phys. Rev. Lett. 90. (www.arxiv.org/abs/quant-ph/0211037.) (doi:10.1103/PhysRev-Lett.90.120404.)
    • Zurek, W. H. 2003 Environment-assisted invariance, causality, and probabilities in quantum physics. Phys. Rev. Lett. 90. (www.arxiv.org/abs/quant-ph/0211037.) (doi:10.1103/PhysRev-Lett.90.120404.)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.