메뉴 건너뛰기




Volumn , Issue , 2010, Pages 141-150

BQP and the polynomial hierarchy

Author keywords

constant depth circuits; fourier analysis; linial nisan conjecture; quantum complexity classes

Indexed keywords

CIRCUIT COMPLEXITY; CONSTANT-DEPTH CIRCUITS; DECISION PROBLEMS; LOGARITHMIC TIME; OPEN PROBLEMS; POLYNOMIAL HIERARCHIES; PSEUDORANDOMNESS; QUANTUM COMPLEXITY CLASS; QUANTUM COMPUTING;

EID: 77954724094     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1806689.1806711     Document Type: Conference Paper
Times cited : (185)

References (28)
  • 3
    • 33748118578 scopus 로고    scopus 로고
    • A polynomial quantum algorithm for approximating the Jones polynomial
    • D. Aharonov, V. Jones, and Z. Landau. A polynomial quantum algorithm for approximating the Jones polynomial. In Proc. ACM STOC, p. 427-436, 2006.
    • (2006) Proc. ACM STOC , pp. 427-436
    • Aharonov, D.1    Jones, V.2    Landau, Z.3
  • 4
    • 55249112293 scopus 로고    scopus 로고
    • Exponential separation of quantum and classical one-way communication complexity
    • Z. Bar-Yossef, T. S. Jayram, and I. Kerenidis. Exponential separation of quantum and classical one-way communication complexity. SIAM J. Comput., 38(1):366-384, 2008.
    • (2008) SIAM J. Comput. , vol.38 , Issue.1 , pp. 366-384
    • Bar-Yossef, Z.1    Jayram, T.S.2    Kerenidis, I.3
  • 5
    • 46749137514 scopus 로고    scopus 로고
    • Polylogarithmic independence can fool DNF formulas
    • L. Bazzi. Polylogarithmic independence can fool DNF formulas. In Proc. IEEE FOCS, p. 63-73, 2007.
    • (2007) Proc. IEEE FOCS , pp. 63-73
    • Bazzi, L.1
  • 7
    • 0037709219 scopus 로고    scopus 로고
    • Sharp quantum versus classical query complexity separations
    • J. N. de Beaudrap, R. Cleve, and J. Watrous. Sharp quantum versus classical query complexity separations. Algorithmica, 34(4):449-461, 2002.
    • (2002) Algorithmica , vol.34 , Issue.4 , pp. 449-461
    • De Beaudrap, J.N.1    Cleve, R.2    Watrous, J.3
  • 9
    • 5544255325 scopus 로고    scopus 로고
    • Quantum complexity theory
    • E. Bernstein and U. Vazirani. Quantum complexity theory. SIAM J. Comput., 26(5):1411-1473, 1997.
    • (1997) SIAM J. Comput. , vol.26 , Issue.5 , pp. 1411-1473
    • Bernstein, E.1    Vazirani, U.2
  • 10
    • 0023646410 scopus 로고
    • Does co-NP have short interactive proofs?
    • R. B. Boppana, J. Håstad, and S. Zachos. Does co-NP have short interactive proofs? Inf. Proc. Lett., 25:127-132, 1987.
    • (1987) Inf. Proc. Lett. , vol.25 , pp. 127-132
    • Boppana, R.B.1    Håstad, J.2    Zachos, S.3
  • 13
    • 58849134355 scopus 로고    scopus 로고
    • The complexity of computing a Nash equilibrium
    • C. Daskalakis, P. W. Goldberg, and C. H. Papadimitriou. The complexity of computing a Nash equilibrium. Commun. ACM, 52(2):89-97, 2009.
    • (2009) Commun. ACM , vol.52 , Issue.2 , pp. 89-97
    • Daskalakis, C.1    Goldberg, P.W.2    Papadimitriou, C.H.3
  • 14
    • 0002127588 scopus 로고
    • Parity, circuits, and the polynomial time hierarchy
    • M. Furst, J. B. Saxe, and M. Sipser. Parity, circuits, and the polynomial time hierarchy. Math. Systems Theory, 17:13-27, 1984.
    • (1984) Math. Systems Theory , vol.17 , pp. 13-27
    • Furst, M.1    Saxe, J.B.2    Sipser, M.3
  • 15
    • 57849152099 scopus 로고    scopus 로고
    • Exponential separation for one-way quantum communication complexity, with applications to cryptography
    • D. Gavinsky, J. Kempe, I. Kerenidis, R. Raz, and R. de Wolf. Exponential separation for one-way quantum communication complexity, with applications to cryptography. SIAM J. Comput., 38(5):1695-1708, 2008.
    • (2008) SIAM J. Comput. , vol.38 , Issue.5 , pp. 1695-1708
    • Gavinsky, D.1    Kempe, J.2    Kerenidis, I.3    Raz, R.4    De Wolf, R.5
  • 16
    • 0036588881 scopus 로고    scopus 로고
    • Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses
    • A. Klivans and D. van Melkebeek. Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses. SIAM J. Comput., 31:1501-1526, 2002.
    • (2002) SIAM J. Comput. , vol.31 , pp. 1501-1526
    • Klivans, A.1    Van Melkebeek, D.2
  • 17
    • 0027627287 scopus 로고
    • Constant depth circuits, Fourier transform, and learnability
    • N. Linial, Y. Mansour, and N. Nisan. Constant depth circuits, Fourier transform, and learnability. J. ACM, 40(3):607-620, 1993.
    • (1993) J. ACM , vol.40 , Issue.3 , pp. 607-620
    • Linial, N.1    Mansour, Y.2    Nisan, N.3
  • 18
    • 0001522385 scopus 로고
    • Approximate inclusion-exclusion
    • N. Linial and N. Nisan. Approximate inclusion-exclusion. Combinatorica, 10(4):349-365, 1990.
    • (1990) Combinatorica , vol.10 , Issue.4 , pp. 349-365
    • Linial, N.1    Nisan, N.2
  • 19
    • 0000883554 scopus 로고
    • Lower bounds for the size of circuits of bounded depth with basis {&,⊕}
    • A. A. Razborov. Lower bounds for the size of circuits of bounded depth with basis {&,⊕}. Mathematicheskie Zametki, 41(4):598-607, 1987.
    • (1987) Mathematicheskie Zametki , vol.41 , Issue.4 , pp. 598-607
    • Razborov, A.A.1
  • 20
    • 77749330248 scopus 로고    scopus 로고
    • A simple proof of Bazzi's theorem
    • A. A. Razborov. A simple proof of Bazzi's theorem. ACM Trans. Comput. Theory, 1(1), 2009.
    • (2009) ACM Trans. Comput. Theory , vol.1 , Issue.1
    • Razborov, A.A.1
  • 21
    • 0026930543 scopus 로고
    • IP=PSPACE
    • A. Shamir. IP=PSPACE. J. ACM, 39(4):869-877, 1992.
    • (1992) J. ACM , vol.39 , Issue.4 , pp. 869-877
    • Shamir, A.1
  • 22
    • 67149139432 scopus 로고    scopus 로고
    • Temporally unstructured quantum computation
    • D. Shepherd and M. J. Bremner. Temporally unstructured quantum computation. Proc. Roy. Soc. London, A465(2105):1413-1439, 2009.
    • (2009) Proc. Roy. Soc. London , vol.A465 , Issue.2105 , pp. 1413-1439
    • Shepherd, D.1    Bremner, M.J.2
  • 23
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • P. W. Shor. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput., 26(5):1484-1509, 1997.
    • (1997) SIAM J. Comput. , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.W.1
  • 24
    • 0002007763 scopus 로고
    • On the power of quantum computation
    • D. Simon. On the power of quantum computation. In Proc. IEEE FOCS, p. 116-123, 1994.
    • (1994) Proc. IEEE FOCS , pp. 116-123
    • Simon, D.1
  • 25
    • 0023570259 scopus 로고
    • Algebraic methods in the theory of lower bounds for Boolean circuit complexity
    • R. Smolensky. Algebraic methods in the theory of lower bounds for Boolean circuit complexity. In Proc. ACM STOC, p. 77-82, 1987.
    • (1987) Proc. ACM STOC , pp. 77-82
    • Smolensky, R.1
  • 27
    • 0034513686 scopus 로고    scopus 로고
    • Succinct quantum proofs for properties of finite groups
    • J. Watrous. Succinct quantum proofs for properties of finite groups. In Proc. IEEE FOCS, p. 537-546, 2000.
    • (2000) Proc. IEEE FOCS , pp. 537-546
    • Watrous, J.1
  • 28
    • 0022201594 scopus 로고
    • Separating the polynomial-time hierarchy by oracles
    • A. C-C. Yao. Separating the polynomial-time hierarchy by oracles. In Proc. IEEE FOCS, p. 1-10, 1985.
    • (1985) Proc. IEEE FOCS , pp. 1-10
    • Yao, A.C.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.