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Volumn 4910 LNCS, Issue , 2008, Pages 1-4

Quantum random walks - New method for designing quantum algorithms

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOOLEAN FUNCTIONS; COMPUTATIONAL METHODS; MARKOV PROCESSES;

EID: 38549141735     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-77566-9_1     Document Type: Conference Paper
Times cited : (26)

References (27)
  • 1
    • 4243159779 scopus 로고    scopus 로고
    • Quantum lower bounds for the collision and the element distinctness problems
    • Aaronson, S., Shi, Y.: Quantum lower bounds for the collision and the element distinctness problems. Journal of ACM 51(4), 595-605 (2004)
    • (2004) Journal of ACM , vol.51 , Issue.4 , pp. 595-605
    • Aaronson, S.1    Shi, Y.2
  • 3
    • 17744377810 scopus 로고    scopus 로고
    • Quantum walk algorithm for element distinctness
    • Ambainis, A.: Quantum walk algorithm for element distinctness. In: Proceedings of FOCS 2004, pp. 22-31 (2004)
    • (2004) Proceedings of FOCS 2004 , pp. 22-31
    • Ambainis, A.1
  • 4
    • 85032889592 scopus 로고    scopus 로고
    • Polynomial degree and lower bounds in quantum complexity: Collision and element distinctness with small range
    • Ambainis, A.: Polynomial degree and lower bounds in quantum complexity: collision and element distinctness with small range. Theory of Computing 1, 37-46 (2005)
    • (2005) Theory of Computing , vol.1 , pp. 37-46
    • Ambainis, A.1
  • 5
    • 46749125783 scopus 로고    scopus 로고
    • 1/2+o(1) on a quantum computer. In: Proceedings of FOCS 2007, pp. 363-372 (2007)
    • 1/2+o(1) on a quantum computer. In: Proceedings of FOCS 2007, pp. 363-372 (2007)
  • 7
    • 3342887162 scopus 로고    scopus 로고
    • A lower bound on the quantum complexity of read once functions
    • Barnum, H., Saks, M.: A lower bound on the quantum complexity of read once functions. Journal of Computer and System Sciences 69, 244-258 (2004)
    • (2004) Journal of Computer and System Sciences , vol.69 , pp. 244-258
    • Barnum, H.1    Saks, M.2
  • 8
    • 84957668600 scopus 로고
    • Quantum cryptanalysis of hidden linear functions (extended abstract)
    • Coppersmith, D, ed, CRYPTO 1995, Springer, Heidelberg
    • Boneh, D., Lipton, R.: Quantum cryptanalysis of hidden linear functions (extended abstract). In: Coppersmith, D. (ed.) CRYPTO 1995. LNCS, vol. 963, pp. 424-437. Springer, Heidelberg (1995)
    • (1995) LNCS , vol.963 , pp. 424-437
    • Boneh, D.1    Lipton, R.2
  • 9
    • 33244486120 scopus 로고    scopus 로고
    • Quantum verification of matrix products
    • Buhrman, H., Spalek, R.: Quantum verification of matrix products. In: Proceedings of SODA 2006, pp. 880-889 (2006)
    • (2006) Proceedings of SODA 2006 , pp. 880-889
    • Buhrman, H.1    Spalek, R.2
  • 10
    • 0942266992 scopus 로고    scopus 로고
    • Quantum amplitude amplification and estimation
    • Quantum Computation and Quantum Information Science
    • Brassard, G., Høyer, P., Mosca, M., Tapp, A.: Quantum amplitude amplification and estimation. In: Quantum Computation and Quantum Information Science. AMS Contemporary Mathematics Series, vol. 305, pp. 53-74 (2002)
    • (2002) AMS Contemporary Mathematics Series , vol.305 , pp. 53-74
    • Brassard, G.1    Høyer, P.2    Mosca, M.3    Tapp, A.4
  • 11
    • 84949230227 scopus 로고    scopus 로고
    • Quantum cryptanalysis of hash and claw-free functions
    • Lucchesi, CL, Moura, A.V, eds, LATIN 1998, Springer, Heidelberg
    • Brassard, G., Hoyer, P., Tapp, A.: Quantum cryptanalysis of hash and claw-free functions. In: Lucchesi, CL., Moura, A.V. (eds.) LATIN 1998. LNCS, vol. 1380, pp. 163-169. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1380 , pp. 163-169
    • Brassard, G.1    Hoyer, P.2    Tapp, A.3
  • 12
    • 84878528377 scopus 로고    scopus 로고
    • Quantum counting
    • Larsen, K.G, Skyum, S, Winskel, G, eds, ICALP 1998, Springer, Heidelberg
    • Brassard, G., Høyer, P., Tapp, A.: Quantum counting. In: Larsen, K.G., Skyum, S., Winskel, G. (eds.) ICALP 1998. LNCS, vol. 1443, pp. 820-831. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1443 , pp. 820-831
    • Brassard, G.1    Høyer, P.2    Tapp, A.3
  • 13
    • 0038784710 scopus 로고    scopus 로고
    • Childs, A.M., Cleve, R., Deotto, E., Farhi, E., Gutmann, S., Spielman, D.A.: Exponential algorithmic speedup by quantum walk. In: Proceedings of STOC 2003, pp. 59-68 (2003)
    • Childs, A.M., Cleve, R., Deotto, E., Farhi, E., Gutmann, S., Spielman, D.A.: Exponential algorithmic speedup by quantum walk. In: Proceedings of STOC 2003, pp. 59-68 (2003)
  • 14
    • 19744381153 scopus 로고    scopus 로고
    • Spatial search and the Dirac equation
    • Childs, A.M., Goldstone, J.: Spatial search and the Dirac equation. Physical Review A 70, 42312 (2004)
    • (2004) Physical Review A , vol.70 , pp. 42312
    • Childs, A.M.1    Goldstone, J.2
  • 15
    • 0035917832 scopus 로고    scopus 로고
    • A quantum adiabatic algorithm applied to random instances of an NP-complete problem
    • Farhi, E., Goldstone, J., Gutman, S., Sipser, M.: A quantum adiabatic algorithm applied to random instances of an NP-complete problem. Science 292, 472-476 (2001)
    • (2001) Science , vol.292 , pp. 472-476
    • Farhi, E.1    Goldstone, J.2    Gutman, S.3    Sipser, M.4
  • 16
    • 67650289060 scopus 로고    scopus 로고
    • A Quantum Algorithm for the Hamiltonian NAND
    • arXiv preprint quant-ph/0702144
    • Farhi, E., Goldstone, J., Gutman, S.: A Quantum Algorithm for the Hamiltonian NAND Tree. arXiv preprint quant-ph/0702144
    • Tree
    • Farhi, E.1    Goldstone, J.2    Gutman, S.3
  • 17
    • 85034453168 scopus 로고    scopus 로고
    • Freivalds, R.: Fast probabilistic algorithms. In: Becvar, J. (ed.) MFCS 1979. LNCS, 74, pp. 57-69. Springer, Heidelberg (1979)
    • Freivalds, R.: Fast probabilistic algorithms. In: Becvar, J. (ed.) MFCS 1979. LNCS, vol. 74, pp. 57-69. Springer, Heidelberg (1979)
  • 18
    • 0029701737 scopus 로고    scopus 로고
    • Grover, L.: A fast quantum mechanical algorithm for database search. In: Grover, L. (ed.) Proceedings of STOC 1996, pp. 212-219 (1996)
    • Grover, L.: A fast quantum mechanical algorithm for database search. In: Grover, L. (ed.) Proceedings of STOC 1996, pp. 212-219 (1996)
  • 19
    • 33947288591 scopus 로고    scopus 로고
    • Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
    • Hallgren, S.: Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem. Journal of the ACM 54, 1 (2007)
    • (2007) Journal of the ACM , vol.54 , pp. 1
    • Hallgren, S.1
  • 20
    • 0042258461 scopus 로고    scopus 로고
    • Quantum factoring, discrete logarithms, and the hidden subgroup problem
    • Jozsa, R.: Quantum factoring, discrete logarithms, and the hidden subgroup problem. IEEE Multimedia 3, 34-43 (1996)
    • (1996) IEEE Multimedia , vol.3 , pp. 34-43
    • Jozsa, R.1
  • 21
    • 0043092395 scopus 로고    scopus 로고
    • Quantum random walks - an introductory overview
    • Kempe, J.: Quantum random walks - an introductory overview. Contemporary Physics 44(4), 307-327 (2003)
    • (2003) Contemporary Physics , vol.44 , Issue.4 , pp. 307-327
    • Kempe, J.1
  • 22
    • 34547326040 scopus 로고    scopus 로고
    • Quantum complexity of testing group commutativity
    • Magniez, F., Nayak, A.: Quantum complexity of testing group commutativity. Algorithmica 48(3), 221-232 (2007)
    • (2007) Algorithmica , vol.48 , Issue.3 , pp. 221-232
    • Magniez, F.1    Nayak, A.2
  • 24
  • 25
    • 0032633492 scopus 로고    scopus 로고
    • The quantum query complexity of approximating the median and related statistics
    • Nayak, A., Wu, F.: The quantum query complexity of approximating the median and related statistics. In: Proceedings of STOC 1999, pp. 384-393 (1999)
    • (1999) Proceedings of STOC 1999 , pp. 384-393
    • Nayak, A.1    Wu, F.2
  • 26
    • 85115374351 scopus 로고
    • Algorithms for Quantum Computation: Discrete Logarithms and Factoring
    • Shor, P.: Algorithms for Quantum Computation: Discrete Logarithms and Factoring. In: Proceedings of FOCS 1994, pp. 124-134 (1994)
    • (1994) Proceedings of FOCS 1994 , pp. 124-134
    • Shor, P.1
  • 27
    • 17744397785 scopus 로고    scopus 로고
    • Quantum speed-up of Markov chain based algorithms
    • Szegedy, M.: Quantum speed-up of Markov chain based algorithms. In: Proceedings of FOCS 2004, pp. 32-41 (2004)
    • (2004) Proceedings of FOCS 2004 , pp. 32-41
    • Szegedy, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.