메뉴 건너뛰기




Volumn , Issue , 2011, Pages 560-569

Reflections for quantum query algorithms

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME SYSTEMS; QUANTUM THEORY;

EID: 79955730101     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973082.44     Document Type: Conference Paper
Times cited : (163)

References (43)
  • 1
    • 77954724094 scopus 로고    scopus 로고
    • BQP and the polynomial hierarchy
    • arXiv:0910.4698 [quant-ph]
    • Scott Aaronson. BQP and the polynomial hierarchy. In Proc. 42nd ACM STOC, pages 141-150, 2010, arXiv:0910.4698 [quant-ph].
    • (2010) Proc. 42nd ACM STOC , pp. 141-150
    • Aaronson, S.1
  • 3
    • 0042418642 scopus 로고    scopus 로고
    • Quantum lower bounds by quantum arguments
    • DOI 10.1006/jcss.2002.1826
    • Andris Ambainis. Quantum lower bounds by quantum arguments. J. Comput. Syst. Sci., 64:750-767, 2002, arXiv:quant-ph/0002066. Earlier version in STOC'OO. (Pubitemid 41161934)
    • (2002) Journal of Computer and System Sciences , vol.64 , Issue.4 , pp. 750-767
    • Ambainis, A.1
  • 4
    • 32844471194 scopus 로고    scopus 로고
    • Polynomial degree vs. quantum query complexity
    • DOI 10.1016/j.jcss.2005.06.006, PII S0022000005000899, JCSS FOCS 2003
    • Andris Ambainis. Polynomial degree vs. quantum query complexity. J. Comput. Syst. Sci., 72(2):220-238, 2006, quant-ph/0305028. Earlier version in FOCS'03. (Pubitemid 43255274)
    • (2006) Journal of Computer and System Sciences , vol.72 , Issue.2 , pp. 220-238
    • Ambainis, A.1
  • 7
    • 3342887162 scopus 로고    scopus 로고
    • A lower bound on the quantum query complexity of read-once functions
    • quant-ph/0201007
    • Howard Barnum and Michael Saks. A lower bound on the quantum query complexity of read-once functions. J. Comput. Syst. Sci., 69(2):244-258, 2004, quant-ph/0201007.
    • (2004) J. Comput. Syst. Sci. , vol.69 , Issue.2 , pp. 244-258
    • Barnum, H.1    Saks, M.2
  • 8
    • 0043016194 scopus 로고    scopus 로고
    • Quantum query complexity and semidefinite programming
    • Howard Barnum, Michael Saks, and Mario Szegedy. Quantum query complexity and semidefinite programming. In Proc. 18th IEEE Complexity, pages 179-193, 2003.
    • (2003) Proc. 18th IEEE Complexity , pp. 179-193
    • Barnum, H.1    Saks, M.2    Szegedy, M.3
  • 9
    • 0345106484 scopus 로고    scopus 로고
    • Quantum lower bounds by polynomials
    • quant- ph/9802049. Earlier version in FOCS'98
    • Robert Beals, Harry Buhrman, Richard Cleve, Michele Mosca, and Ronald de Wolf. Quantum lower bounds by polynomials. J. ACM, 48(4):778-797, 2001, quant- ph/9802049. Earlier version in FOCS'98.
    • (2001) J. ACM , vol.48 , Issue.4 , pp. 778-797
    • Beals, R.1    Buhrman, H.2    Cleve, R.3    Mosca, M.4    De Wolf, R.5
  • 10
    • 5544255325 scopus 로고    scopus 로고
    • Quantum complexity theory
    • PII S0097539796300921
    • Ethan Bernstein and Umesh Vazirani. Quantum complexity theory. SIAM J. Comput., 26(5):1411-1473, 1997. Earlier version in STOC'93. (Pubitemid 127613098)
    • (1997) SIAM Journal on Computing , vol.26 , Issue.5 , pp. 1411-1473
    • Bernstein, E.1    Vazirani, U.2
  • 11
    • 0032338939 scopus 로고    scopus 로고
    • Tight bounds on quantum searching
    • Michel Boyer, Gilles Brassard, Peter Høyer, and Alain Tapp. Tight bounds on quantum searching. Fortschritte der Physik, 46(4-5):493-505, 1998. quant-ph/9605034. (Pubitemid 128186540)
    • (1998) Fortschritte der Physik , vol.46 , Issue.4-5 , pp. 493-505
    • Boyer, M.1    Brassard, G.2    HOyer, P.3    Tapp, A.4
  • 12
    • 24144449501 scopus 로고    scopus 로고
    • Robust polynomials and quantum algorithms
    • STACS 2005 - 22nd Annual Symposium on Theoretical Aspects of Computer Science, Proceedings
    • Harry Buhrman, Ilan Newman, Hein Röhrig, and Ronald de Wolf. Robust polynomials and quantum algorithms. In Proc. 22nd STACS, LNCS vol. 3404, pages 593-604, 2005, arXiv:quant-ph/0309220. (Pubitemid 41241280)
    • (2005) Lecture Notes in Computer Science , vol.3404 , pp. 593-604
    • Buhrman, H.1    Newman, I.2    Rohrig, H.3    De Wolf, R.4
  • 13
    • 0037048579 scopus 로고    scopus 로고
    • Complexity measures and decision tree complexity: A survey
    • Harry Buhrman and Ronald de Wolf. Complexity measures and decision tree complexity: A survey. Theoretical Computer Science, 288(1):21-43, 2002.
    • (2002) Theoretical Computer Science , vol.288 , Issue.1 , pp. 21-43
    • Buhrman, H.1    De Wolf, R.2
  • 14
    • 70350700898 scopus 로고    scopus 로고
    • Efficient discrete-time simulations of continuous-time quantum query algorithms
    • arXiv:0811.4428 [quant-ph]
    • Richard Cleve, Daniel Gottesman, Michele Mosca, Rolando D. Somma, and David L, Yonge-Mallo. Efficient discrete-time simulations of continuous-time quantum query algorithms. In Proc. 41st ACM STOC, pages 409-416, 2009, arXiv:0811.4428 [quant-ph].
    • (2009) Proc. 41st ACM STOC , pp. 409-416
    • Cleve, R.1    Gottesman, D.2    Mosca, M.3    Somma, R.D.4    Yonge-Mallo, D.L.5
  • 15
    • 85163746463 scopus 로고    scopus 로고
    • A quantum algorithm for the Hamiltonian NAND tree
    • quant-ph/0702144
    • Edward Farhi, Jeffrey Goldstone, and Sam Gutmann, A quantum algorithm for the Hamiltonian NAND tree. Theory of Computing, 4:169-190, 2008, quant-ph/0702144.
    • (2008) Theory of Computing , vol.4 , pp. 169-190
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3
  • 16
    • 0028516898 scopus 로고
    • Computing with noisy information
    • Earlier version in STOC'90
    • Uriel Feige, Prabhakar Raghavan, David Peleg, and Eli Upfal. Computing with noisy information. SIAM J. Comput., 23(5):1001-1018, 1994. Earlier version in STOC'90.
    • (1994) SIAM J. Comput. , vol.23 , Issue.5 , pp. 1001-1018
    • Feige, U.1    Raghavan, P.2    Peleg, D.3    Upfal, E.4
  • 17
    • 0029701737 scopus 로고    scopus 로고
    • A fast quantum mechanical algorithm for database search
    • arXiv:quant-ph/9605043
    • Lov K. Grover. A fast quantum mechanical algorithm for database search. In Proc. 28th ACM STOC, pages 212-219, 1996, arXiv:quant-ph/9605043.
    • (1996) Proc. 28th ACM STOC , pp. 212-219
    • Grover, L.K.1
  • 18
    • 0010475367 scopus 로고
    • Randomized vs. Deterministic decision tree complexity for read-once boolean functions
    • Rafi Heiman and Avi Wigderson. Randomized vs. deterministic decision tree complexity for read-once boolean functions. Computational Complexity, 1(4):311- 329, 1991.
    • (1991) Computational Complexity , vol.1 , Issue.4 , pp. 311-329
    • Heiman, R.1    Wigderson, A.2
  • 19
    • 35448994359 scopus 로고    scopus 로고
    • Negative weights make adversaries stronger
    • DOI 10.1145/1250790.1250867, STOC'07: Proceedings of the 39th Annual ACM Symposium on Theory of Computing
    • Peter Høyer, Troy Lee, and Robert Špalek. Negative weights make adversaries stronger. In Proc. 39th ACM STOC, pages 526-535, 2007, arXiv:quant-ph/0611054. (Pubitemid 47630772)
    • (2007) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 526-535
    • Hoyer, P.1    Lee, T.2    Spalek, R.3
  • 20
    • 35248867320 scopus 로고    scopus 로고
    • Quantum search on bounded-error inputs
    • LNCS 2719, arXiv:quant-ph/0304052
    • Peter Høyer, Michele Mosca, and Ronald de Wolf. Quantum search on bounded-error inputs. In Proc. 30th ICALP, pages 291-299, 2003, LNCS 2719. arXiv:quant-ph/0304052.
    • (2003) Proc. 30th ICALP , pp. 291-299
    • Høyer, P.1    Mosca, M.2    De Wolf, R.3
  • 21
    • 33748094804 scopus 로고    scopus 로고
    • Lower bounds on quantum query complexity
    • October, arXiv:quant-ph/0509153
    • Peter Høyer and Robert Špalek. Lower bounds on quantum query complexity. EATCS Bulletin, 87:78- 103, October 2005, arXiv:quant-ph/ 0509153.
    • (2005) EATCS Bulletin , vol.87 , pp. 78-103
    • Høyer, P.1    Špalek, R.2
  • 22
    • 0000107375 scopus 로고
    • Essai sur la géométrie à n dimensions
    • Camille Jordan. Essai sur la géométrie à n dimensions. Bulletin de la S. M. F., 3:103-174, 1875.
    • (1875) Bulletin de la S. M. F. , vol.3 , pp. 103-174
    • Jordan, C.1
  • 24
    • 33745312939 scopus 로고    scopus 로고
    • The quantum adversary method and classical formula size lower bounds
    • DOI 10.1007/s00037-006-0212-7
    • Sophie Laplante, Troy Lee, and Mario Szegedy. The quantum adversary method and classical formula size lower bounds. Computational Complexity, 15:163-196, 2006, arXiv:quant-ph/0501057. Earlier version in Complexity'05. (Pubitemid 43938399)
    • (2006) Computational Complexity , vol.15 , Issue.2 , pp. 163-196
    • Laplante, S.1    Lee, T.2    Szegedy, M.3
  • 25
    • 4944231386 scopus 로고    scopus 로고
    • Lower bounds for randomized and quantum query complexity using Kolmogorov arguments
    • arXiv:quant-ph/0311189
    • Sophie Laplante and Frédéric Magniez. Lower bounds for randomized and quantum query complexity using Kolmogorov arguments. In Proc. 19th IEEE Complexity, pages 294-304, 2004, arXiv:quant-ph/0311189.
    • (2004) Proc. 19th IEEE Complexity , pp. 294-304
    • Laplante, S.1    Magniez, F.2
  • 27
    • 21244472246 scopus 로고    scopus 로고
    • Quantum Arthur-Merlin games
    • arXivxs/0506068 [cs.CC]
    • Chris Marriott and John Watrous. Quantum Arthur-Merlin games. Computational Complexity, 14(2): 122152, 2005, arXivxs/0506068 [cs.CC].
    • (2005) Computational Complexity , vol.14 , Issue.2 , pp. 122152
    • Marriott, C.1    Watrous, J.2
  • 28
    • 71549143511 scopus 로고    scopus 로고
    • Fast amplification of QMA
    • arXiv:0904.1549 [quant-ph]
    • Daniel Nagaj, Pawel Wocjan, and Yong Zhang. Fast amplification of QMA. Quantum Inf. Comput., 9:1053-1068, 2009, arXiv:0904.1549 [quant-ph].
    • (2009) Quantum Inf. Comput. , vol.9 , pp. 1053-1068
    • Nagaj, D.1    Wocjan, P.2    Zhang, Y.3
  • 29
    • 79955709465 scopus 로고    scopus 로고
    • Faster quantum algorithm for evaluating game trees
    • To appear in, arXiv:0907.1623 [quant-ph]
    • Ben W. Reichardt. Faster quantum algorithm for evaluating game trees. To appear in SODA'11, 2011. arXiv:0907.1623 [quant-ph].
    • (2011) SODA'11
    • Reichardt, B.W.1
  • 31
    • 77952347297 scopus 로고    scopus 로고
    • Span programs and quantum query complexity: The general adversary bound is nearly tight for every boolean function
    • arXiv:0904.2759 [quant-ph], Extended abstract in, 2009
    • Ben W. Reichardt. Span programs and quantum query complexity: The general adversary bound is nearly tight for every boolean function. 2009, arXiv:0904.2759 [quant-ph]. Extended abstract in Proc. 50th IEEE FOCS, pages 544-551, 2009.
    • (2009) Proc. 50th IEEE FOCS , pp. 544-551
    • Reichardt, B.W.1
  • 34
    • 57049181445 scopus 로고    scopus 로고
    • Span-program-based quantum algorithm for evaluating formulas
    • arXiv:0710.2630 [quant-ph]
    • Ben W. Reichardt and Robert Spalek. Span-program- based quantum algorithm for evaluating formulas. In Proc. 40th ACM STOC, pages 103-112, 2008, arXiv:0710.2630 [quant-ph].
    • (2008) Proc. 40th ACM STOC , pp. 103-112
    • Reichardt, B.W.1    Spalek, R.2
  • 36
    • 84990707606 scopus 로고
    • On the Monte Carlo decision tree complexity of read-once formulae
    • Earlier version in Proc. 6th IEEE Structure in Complexity Theory, 1991
    • Miklos Santha. On the Monte Carlo decision tree complexity of read-once formulae. Random Structures and Algorithms, 6(1):75-87, 1995. Earlier version in Proc. 6th IEEE Structure in Complexity Theory, 1991.
    • (1995) Random Structures and Algorithms , vol.6 , Issue.1 , pp. 75-87
    • Santha, M.1
  • 37
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • PII S0097539795293172
    • Peter W. Shor. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput., 26(5):1484-1509, 1997, arXiv:quant-ph/0508027. Earlier version in FOCS'94,. (Pubitemid 127613100)
    • (1997) SIAM Journal on Computing , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.W.1
  • 38
    • 0009438294 scopus 로고    scopus 로고
    • On the power of quantum computation
    • PII S0097539796298637
    • Daniel R. Simon. On the power of quantum computation. SIAM J. Computing, 26(5):1474- 1483, 1997. Earlier version in FOCS'94. (Pubitemid 127613099)
    • (1997) SIAM Journal on Computing , vol.26 , Issue.5 , pp. 1474-1483
    • Simon, D.R.1
  • 39
    • 0022067041 scopus 로고
    • LOWER BOUNDS ON PROBABILISTIC LINEAR DECISION TREES.
    • DOI 10.1016/0304-3975(85)90210-5
    • Marc Snir. Lower bounds on probabilistic linear decision trees. Theoretical Computer Science, 38:69-82, 1985. (Pubitemid 15584051)
    • (1985) Theoretical Computer Science , vol.38 , Issue.1 , pp. 69-82
    • Snir Marc1
  • 40
    • 85163780142 scopus 로고    scopus 로고
    • All quantum adversary methods are equivalent
    • Earlier version in ICALP'05
    • Robert Špalek and Mario Szegedy. All quantum adversary methods are equivalent. Theory of Computing, 2(1):1-18, 2006. Earlier version in ICALP'05.
    • (2006) Theory of Computing , vol.2 , Issue.1 , pp. 1-18
    • Špalek, R.1    Szegedy, M.2
  • 43
    • 18544371325 scopus 로고    scopus 로고
    • On the power of Ambainis's lower bounds
    • Earlier version in ICALP'04
    • Shengyu Zhang. On the power of Ambainis's lower bounds. Theoretical Computer Science, 339(2-3):241- 256, 2005. Earlier version in ICALP'04.
    • (2005) Theoretical Computer Science , vol.339 , Issue.2-3 , pp. 241-256
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.