-
1
-
-
4243159779
-
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
-
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
-
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
-
-
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)
-
-
-
-
6
-
-
20744438178
-
Coins make quantum walks faster
-
Ambainis, A., Kempe, J., Rivosh, A.: Coins make quantum walks faster. In: Proceedings of SODA 2005, pp. 1099-1108 (2005)
-
(2005)
Proceedings of SODA 2005
, pp. 1099-1108
-
-
Ambainis, A.1
Kempe, J.2
Rivosh, A.3
-
7
-
-
3342887162
-
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
-
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
-
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
-
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
-
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
-
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
-
-
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
-
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
-
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
-
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
-
-
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
-
-
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
-
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
-
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
-
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
-
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
-
23
-
-
35548965589
-
Search via quantum walk
-
Magniez, F., Nayak, A., Roland, J., Santha, M.: Search via quantum walk. In: Proceedings of STOC 2007, pp. 575-584 (2007)
-
(2007)
Proceedings of STOC 2007
, pp. 575-584
-
-
Magniez, F.1
Nayak, A.2
Roland, J.3
Santha, M.4
-
24
-
-
38549152759
-
Quantum algorithms for the triangle problem
-
Magniez, F., Santha, M., Szegedy, M.: Quantum algorithms for the triangle problem. SIAM Journal on Computing 37(2), 413-424 (2007)
-
(2007)
SIAM Journal on Computing
, vol.37
, Issue.2
, pp. 413-424
-
-
Magniez, F.1
Santha, M.2
Szegedy, M.3
-
25
-
-
0032633492
-
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
-
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
-
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
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