메뉴 건너뛰기




Volumn , Issue , 2003, Pages 20-29

Adiabatic quantum state generation and statistical zero knowledge

Author keywords

Hamiltonian; Markov chains; Quantum adiabatic computation; Quantum sampling; Spectral gap; State generation; Statistical zero knowledge

Indexed keywords

ALGORITHMS; HAMILTONIANS; MARKOV PROCESSES; PROBLEM SOLVING; STATISTICAL METHODS; VECTORS;

EID: 0037770172     PISSN: 07349025     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/780542.780546     Document Type: Conference Paper
Times cited : (346)

References (45)
  • 1
    • 0036036708 scopus 로고    scopus 로고
    • Quantum lower bound for the collision problem
    • S. Aaronson, Quantum lower bound for the collision problem. STOC 2002, pp. 635-642
    • (2002) STOC 2002 , pp. 635-642
    • Aaronson, S.1
  • 2
    • 0038385412 scopus 로고    scopus 로고
    • quant-ph/0210077. A longer version of this paper
    • D. Aharonov and A. Ta-Shma. quant-ph/0210077. A longer version of this paper.
    • Aharonov, D.1    Ta-Shma, A.2
  • 4
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • N. Alon, Eigenvalues and Expanders. Combinatorica 6(1986), pp. 83-96.
    • (1986) Combinatorica , vol.6 , pp. 83-96
    • Alon, N.1
  • 6
    • 85025262253 scopus 로고
    • Sampling and integration of near log-concave functions
    • D. Applegate and R. Kannan, Sampling and integration of near log-concave functions, STOC 1991, pp. 156-163
    • (1991) STOC 1991 , pp. 156-163
    • Applegate, D.1    Kannan, R.2
  • 8
    • 0032277731 scopus 로고    scopus 로고
    • Faster random generation of linear extensions
    • R. Bubley and M. Dyer, Faster random generation of linear extensions, SODA 1998, pp. 350-354.
    • (1998) SODA 1998 , pp. 350-354
    • Bubley, R.1    Dyer, M.2
  • 13
    • 0038385410 scopus 로고    scopus 로고
    • quant-ph/9706062
    • A. M. Childs, E. Farhi and S. Gutmann, An example of the difference between quantum and classical random walks, quant-ph/0103020. Also, E. Farhi and S. Gutmann, Quantum computation and decision Trees, quant-ph/9706062
    • Quantum Computation and Decision Trees
    • Farhi, E.1    Gutmann, S.2
  • 15
    • 0035189687 scopus 로고    scopus 로고
    • How powerful is adiabatic quantum computation?
    • W. van Dam, M. Mosca and U. V. Vazirani, How Powerful is Adiabatic Quantum Computation? FOCS 2001, pp 279-287
    • (2001) FOCS 2001 , pp. 279-287
    • Van Dam, W.1    Mosca, M.2    Vazirani, U.V.3
  • 18
    • 0035917832 scopus 로고    scopus 로고
    • A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
    • quant-ph/0104129
    • 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, 472 (2001), quant-ph/0104129.
    • (2001) Science , vol.292 , pp. 472
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3    Lapan, J.4    Lundgren, A.5    Preda, D.6
  • 21
    • 0027290241 scopus 로고
    • A perfect zero-knowledge proof system for a problem equivalent to the discrete logarithm
    • O. Goldreich and E. Kushilevitz, A Perfect Zero-Knowledge Proof System for a Problem Equivalent to the Discrete Logarithm, Journal of Cryptology, 6(2), pp. 97-116, 1993
    • (1993) Journal of Cryptology , vol.6 , Issue.2 , pp. 97-116
    • Goldreich, O.1    Kushilevitz, E.2
  • 22
    • 0031624262 scopus 로고    scopus 로고
    • On the limits of non-approximability of lattice problems
    • O. Goldreich and S. Goldwasser, On the limits of non-approximability of lattice problems, STOC 1998, pp. 1-9
    • (1998) STOC 1998 , pp. 1-9
    • Goldreich, O.1    Goldwasser, S.2
  • 23
    • 0031643581 scopus 로고    scopus 로고
    • Honest-Verifier statistical zero-knowledge equals general statistical zero-knowledge
    • O. Goldreich, A. Sahai and S. Vadhan, Honest-Verifier Statistical Zero-Knowledge Equals General Statistical Zero-Knowledge, STOC 1998 pp. 399-408,
    • (1998) STOC 1998 , pp. 399-408
    • Goldreich, O.1    Sahai, A.2    Vadhan, S.3
  • 24
    • 0024611659 scopus 로고
    • The knowledge complexity of interactive proof systems
    • S. Goldwasser, S. Micali and C. Rackoff, The Knowledge Complexity of Interactive Proof Systems, SIAM J Comput, 18 (1), pp. 186-208, 1989
    • (1989) SIAM J Comput , vol.18 , Issue.1 , pp. 186-208
    • Goldwasser, S.1    Micali, S.2    Rackoff, C.3
  • 26
    • 4243807288 scopus 로고    scopus 로고
    • Quantum Mechanics helps in searching for a needle in a haystack
    • July 14
    • L. Grover, Quantum Mechanics helps in searching for a needle in a haystack, Phys. Rev. Letters, July 14, 1997
    • (1997) Phys. Rev. Letters
    • Grover, L.1
  • 28
    • 0036038402 scopus 로고    scopus 로고
    • Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
    • S. Hallgren, Polynomial-Time Quantum Algorithms for Pell's Equation and the Principal Ideal Problem, STOC 2002
    • (2002) STOC 2002
    • Hallgren, S.1
  • 29
    • 0038385407 scopus 로고    scopus 로고
    • A Polynomial-Time Approximation algorithm for the permanent of a matrix with non-negative entries
    • M. Jerrum and A. Sinclair, E. Vigoda A Polynomial-Time Approximation Algorithm for the permanent of a matrix with non-negative entries, STOC 2000
    • (2000) STOC 2000
    • Jerrum, M.1    Sinclair, A.2    Vigoda, E.3
  • 30
    • 0002734223 scopus 로고    scopus 로고
    • The Markov chain Monte Carlo method: An approach to approximate counting and integration
    • D.S.Hochbaum ed.
    • M. Jerrum and A. Sinclair, The Markov chain Monte Carlo method: an approach to approximate counting and integration in Approximation Algorithms for NP-hard Problems, D.S.Hochbaum ed., 1996.
    • (1996) Approximation Algorithms for NP-hard Problems
    • Jerrum, M.1    Sinclair, A.2
  • 31
    • 0000321758 scopus 로고
    • On the adiabatic theorem of quantum mechanics
    • T. Kato, On the adiabatic theorem of Quantum Mechanics, J. Phys. Soc. Jap. 5, pp. 435-439 (1951)
    • (1951) J. Phys. Soc. Jap. , vol.5 , pp. 435-439
    • Kato, T.1
  • 35
    • 0006217743 scopus 로고    scopus 로고
    • Random walks on graphs: A survey
    • ed. D. Miklos, V. T. Sos, T. Szonyi
    • L. Lovasz: Random Walks on Graphs: A Survey. Combinatorics, Paul Erdos is Eighty, Vol. 2, ed. D. Miklos, V. T. Sos, T. Szonyi, 1996, pp. 353-398.
    • (1996) Combinatorics, Paul Erdos Is Eighty , vol.2 , pp. 353-398
    • Lovasz, L.1
  • 39
    • 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
  • 40
    • 0031334292 scopus 로고    scopus 로고
    • A complete promise problem for statistical zero-knowledge
    • A. Sahai and S. P. Vadhan, A Complete Promise Problem for Statistical Zero-Knowledge, FOCS 1997 pp. 448-457
    • (1997) FOCS 1997 , pp. 448-457
    • Sahai, A.1    Vadhan, S.P.2
  • 41
    • 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) 1997, pp. 1484-1509
    • (1997) SIAM J. Comput. , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.W.1
  • 45
    • 0034832997 scopus 로고    scopus 로고
    • Quantum algorithms for solvable groups
    • J. Watrous: Quantum algorithms for solvable groups, STOC 2001, pp. 60-67
    • (2001) STOC 2001 , pp. 60-67
    • Watrous, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.