-
1
-
-
4243159779
-
Quantum lower bounds for the collision and the element distinctness problems
-
S. Aaronson and Y. Shi, Quantum lower bounds for the collision and the element distinctness problems, J. ACM 51 (2004), no. 4, 595-605.
-
(2004)
J. ACM
, vol.51
, Issue.4
, pp. 595-605
-
-
Aaronson, S.1
Shi, Y.2
-
2
-
-
33748603175
-
From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups
-
D. Bacon, A. M. Childs, and W. van Dam, From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups, Proc. 46th FOCS, 2005, pp. 469-478.
-
(2005)
Proc. 46th FOCS
, pp. 469-478
-
-
Bacon, D.1
Childs, A.M.2
van Dam, W.3
-
3
-
-
38049163948
-
-
_, Optimal measurements for the dihedral hidden subgroup problem, Chicago J. Th. Comp. Sci. (2006), no. 2.
-
_, Optimal measurements for the dihedral hidden subgroup problem, Chicago J. Th. Comp. Sci. (2006), no. 2.
-
-
-
-
5
-
-
38049097685
-
-
_, The quantum Schur transform: I. Efficient qudit circuits, to appear in Proc. 18th SODA, 2007, available at quant-ph/0601001.
-
_, The quantum Schur transform: I. Efficient qudit circuits, to appear in Proc. 18th SODA, 2007, available at quant-ph/0601001.
-
-
-
-
6
-
-
0000162486
-
Stabilisation of quantum computations by symmetrisation
-
A. Barenco, A. Berthiaume, D. Deutsch, A. Ekert, R. Jozsa, and C. Macchiavello, Stabilisation of quantum computations by symmetrisation, SIAM J. Comput. (1997), 1541-1557.
-
(1997)
SIAM J. Comput
, pp. 1541-1557
-
-
Barenco, A.1
Berthiaume, A.2
Deutsch, D.3
Ekert, A.4
Jozsa, R.5
Macchiavello, C.6
-
7
-
-
0030642909
-
Quantum computation of Fourier transforms over symmetric groups
-
R. Beals, Quantum computation of Fourier transforms over symmetric groups, Proc. 29th STOC, 1997, pp. 48-53.
-
(1997)
Proc. 29th STOC
, pp. 48-53
-
-
Beals, R.1
-
8
-
-
84957668600
-
Quantum cryptanalysis of hidden linear functions
-
Proc. Advances in Cryptology
-
R. Boneh and R. Lipton, Quantum cryptanalysis of hidden linear functions, Proc. Advances in Cryptology, LNCS 963, 1995, pp. 424-437.
-
(1995)
LNCS
, vol.963
, pp. 424-437
-
-
Boneh, R.1
Lipton, R.2
-
9
-
-
84949230227
-
Quantum cryptanalysis of hash and clawfree functions
-
Proc. 3rd Latin American Symposium on Theoretical Informatics
-
G. Brassard, P. Høyer, and A. Tapp, Quantum cryptanalysis of hash and clawfree functions, Proc. 3rd Latin American Symposium on Theoretical Informatics, LNCS 1380, 1998, pp. 163-169.
-
(1998)
LNCS
, vol.1380
, pp. 163-169
-
-
Brassard, G.1
Høyer, P.2
Tapp, A.3
-
10
-
-
42749103634
-
Quantum fingerprinting
-
H. Buhrman, R. Cleve, J. Watrous, and R. de Wolf, Quantum fingerprinting, Phys. Rev. Lett. 87 (2001), 167902.
-
(2001)
Phys. Rev. Lett
, vol.87
, pp. 167902
-
-
Buhrman, H.1
Cleve, R.2
Watrous, J.3
de Wolf, R.4
-
12
-
-
38049178259
-
An approximate Fourier transform useful in quantum factoring, Technical Report RC 19642, IBM Research Division, Yorktown Heights, NY
-
quant-ph/0201067
-
D. Coppersmith, An approximate Fourier transform useful in quantum factoring, Technical Report RC 19642, IBM Research Division, Yorktown Heights, NY, 1994, quant-ph/0201067.
-
(1994)
-
-
Coppersmith, D.1
-
13
-
-
29144464785
-
The spectra of density operators and the Kronecker coefficients of the symmetric group
-
M. Christandl and G. Mitchison, The spectra of density operators and the Kronecker coefficients of the symmetric group, Commun. Math. Phys. 261 (2006), no. 3, 789-797.
-
(2006)
Commun. Math. Phys
, vol.261
, Issue.3
, pp. 789-797
-
-
Christandl, M.1
Mitchison, G.2
-
16
-
-
0037770162
-
Hidden translation and orbit coset in quantum computing
-
K. Friedl, G. Ivanyos, F. Magniez, M. Santha, and P. Sen, Hidden translation and orbit coset in quantum computing, Proc. 35th STOC, 2003, pp. 1-9.
-
(2003)
Proc. 35th STOC
, pp. 1-9
-
-
Friedl, K.1
Ivanyos, G.2
Magniez, F.3
Santha, M.4
Sen, P.5
-
17
-
-
4043084179
-
Quantum solution to the hidden subgroup problem for poly-near-Hamiltonian groups
-
D. Gavinsky, Quantum solution to the hidden subgroup problem for poly-near-Hamiltonian groups, Quant. Inf. Comp. 4 (2004), 229-235.
-
(2004)
Quant. Inf. Comp
, vol.4
, pp. 229-235
-
-
Gavinsky, D.1
-
19
-
-
2542631212
-
Quantum mechanical algorithms for the nonabelian hidden subgroup problem
-
M. Grigni, L. Schulman, M. Vazirani, and U. Vazirani, Quantum mechanical algorithms for the nonabelian hidden subgroup problem, Combinatorica 24 (2004), 137-154.
-
(2004)
Combinatorica
, vol.24
, pp. 137-154
-
-
Grigni, M.1
Schulman, L.2
Vazirani, M.3
Vazirani, U.4
-
20
-
-
0029701737
-
A fast quantum mechanical algorithm for database search
-
L. K. Grover, A fast quantum mechanical algorithm for database search, Proc. 28th STOC, 1996, pp. 212-219.
-
(1996)
Proc. 28th STOC
, pp. 212-219
-
-
Grover, L.K.1
-
21
-
-
0036038402
-
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, Proc. 34th STOC, 2002, pp. 653-658.
-
(2002)
Proc. 34th STOC
, pp. 653-658
-
-
Hallgren, S.1
-
22
-
-
33748108010
-
Fast quantum algorithms for computing the unit group and class group of a number field
-
_, Fast quantum algorithms for computing the unit group and class group of a number field, Proc. 37th STOC, 2005, pp. 468-474.
-
(2005)
Proc. 37th STOC
, pp. 468-474
-
-
Hallgren, S.1
-
23
-
-
0034505623
-
An improved quantum Fourier transform algorithm and applications
-
L. Hales and S. Hallgren, An improved quantum Fourier transform algorithm and applications, Proc. 41st FOCS, 2000, pp. 515-525.
-
(2000)
Proc. 41st FOCS
, pp. 515-525
-
-
Hales, L.1
Hallgren, S.2
-
24
-
-
33748123212
-
Limitations of quantum coset states for graph isomorphism
-
S. Hallgren, C. Moore, M. Rötteler, A. Russell, and P. Sen, Limitations of quantum coset states for graph isomorphism, Proc. 38th STOC, 2006, pp. 604-617.
-
(2006)
Proc. 38th STOC
, pp. 604-617
-
-
Hallgren, S.1
Moore, C.2
Rötteler, M.3
Russell, A.4
Sen, P.5
-
25
-
-
0033692053
-
The hidden subgroup problem and quantum computation using group representations
-
S. Hallgren, A. Russell, and A. Ta-Shma, The hidden subgroup problem and quantum computation using group representations, Proc. 32nd STOC, 2000, pp. 627-635.
-
(2000)
Proc. 32nd STOC
, pp. 627-635
-
-
Hallgren, S.1
Russell, A.2
Ta-Shma, A.3
-
27
-
-
0036702101
-
Quantum universal variable-length source coding
-
M. Hayashi and K. Matsumoto, Quantum universal variable-length source coding, Phys. Rev. A 66 (2002), 022311.
-
(2002)
Phys. Rev. A
, vol.66
, pp. 022311
-
-
Hayashi, M.1
Matsumoto, K.2
-
28
-
-
20744439021
-
Efficient quantum algorithms for some instances of the non-abelian hidden subgroup problem
-
G. Ivanyos, F. Magniez, and M. Santha, Efficient quantum algorithms for some instances of the non-abelian hidden subgroup problem, Int. J. Found. Comp. Sci. 14 (2003), 723-739.
-
(2003)
Int. J. Found. Comp. Sci
, vol.14
, pp. 723-739
-
-
Ivanyos, G.1
Magniez, F.2
Santha, M.3
-
29
-
-
0040817484
-
Gaussian limit for the Plancherel measure of the symmetric group
-
S. Kerov, Gaussian limit for the Plancherel measure of the symmetric group, Comptes Rendus Acad. Sci. Paris, Sér. I 316 (1993), 303-308.
-
(1993)
Comptes Rendus Acad. Sci. Paris, Sér. I
, vol.316
, pp. 303-308
-
-
Kerov, S.1
-
30
-
-
0035506485
-
Estimating the spectrum of a density operator
-
M. Keyl and R. F. Werner, Estimating the spectrum of a density operator, Phys. Rev. A 64 (2001), 052311.
-
(2001)
Phys. Rev. A
, vol.64
, pp. 052311
-
-
Keyl, M.1
Werner, R.F.2
-
31
-
-
33644591453
-
A subexponential-time quantum algorithm for the dihedral hidden subgroup problem
-
G. Kuperberg, A subexponential-time quantum algorithm for the dihedral hidden subgroup problem, SIAM J. Comput. 35 (2005), 170-188.
-
(2005)
SIAM J. Comput
, vol.35
, pp. 170-188
-
-
Kuperberg, G.1
-
32
-
-
33644610008
-
Generic quantum Fourier transforms
-
C. Moore, D. N. Rockmore, and A. Russell, Generic quantum Fourier transforms, Proc. 15th SODA, 2004, pp. 778-787.
-
(2004)
Proc. 15th SODA
, pp. 778-787
-
-
Moore, C.1
Rockmore, D.N.2
Russell, A.3
-
33
-
-
33947283465
-
The hidden subgroup problem in affine groups: Basis selection in Fourier sampling
-
C. Moore, D. N. Rockmore, A. Russell, and L. J. Schulman, The hidden subgroup problem in affine groups: Basis selection in Fourier sampling, Proc. 15th SODA, 2004, pp. 1113-1122.
-
(2004)
Proc. 15th SODA
, pp. 1113-1122
-
-
Moore, C.1
Rockmore, D.N.2
Russell, A.3
Schulman, L.J.4
-
34
-
-
33748118934
-
The symmetric group defies strong Fourier sampling
-
C. Moore, A. Russell, and L. J. Schulman, The symmetric group defies strong Fourier sampling, Proc. 46th FOCS, 2005, pp. 479-490.
-
(2005)
Proc. 46th FOCS
, pp. 479-490
-
-
Moore, C.1
Russell, A.2
Schulman, L.J.3
-
35
-
-
26444514403
-
On the power of random bases in Fourier sampling: Hidden subgroup problem in the Heisenberg group
-
Proc. 32nd ICALP
-
J. Radhakrishnan, M. Rötteler, and P. Sen, On the power of random bases in Fourier sampling: Hidden subgroup problem in the Heisenberg group, Proc. 32nd ICALP, LNCS 3580, 2005, pp. 1399-1411.
-
(2005)
LNCS
, vol.3580
, pp. 1399-1411
-
-
Radhakrishnan, J.1
Rötteler, M.2
Sen, P.3
-
36
-
-
0036954431
-
Quantum computation and lattice problems
-
O. Regev, Quantum computation and lattice problems, Proc. 43rd FOCS, 2002, pp. 520-529.
-
(2002)
Proc. 43rd FOCS
, pp. 520-529
-
-
Regev, O.1
-
38
-
-
33748102438
-
Polynomial time quantum algorithm for the computation of the unit group of a number field
-
A. Schmidt and U. Vollmer, Polynomial time quantum algorithm for the computation of the unit group of a number field, Proc. 37th STOC, 2005, pp. 475-480.
-
(2005)
Proc. 37th STOC
, pp. 475-480
-
-
Schmidt, A.1
Vollmer, U.2
-
40
-
-
0001621239
-
Linear Representations of Finite Groups
-
Springer, New York
-
J. P. Serre, Linear Representations of Finite Groups, Graduate Texts in Mathematics, vol. 42, Springer, New York, 1977.
-
(1977)
Graduate Texts in Mathematics
, vol.42
-
-
Serre, J.P.1
-
41
-
-
0142051871
-
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 (1997), 1484-1509.
-
(1997)
SIAM J. Comput
, vol.26
, pp. 1484-1509
-
-
Shor, P.W.1
-
42
-
-
84955591478
-
Theory and application of plane partitions
-
and
-
R. P. Stanley, Theory and application of plane partitions, Studies in Appl. Math. 1 (1971), 167-187 and 259-279.
-
(1971)
Studies in Appl. Math
, vol.1
-
-
Stanley, R.P.1
|