-
2
-
-
41249086645
-
-
arXiv Preprint quant-ph/0702008
-
D. AHARONOV, I. ARAD, E. EBAN, AND Z. LANDAU, Polynomial Quantum Algorithms for Additive Approximations of the Potts Model and Other Points of the Tutte Plane, arXiv Preprint quant-ph/0702008, 2007.
-
(2007)
Polynomial Quantum Algorithms for Additive Approximations of the Potts Model and Other Points of the Tutte Plane
-
-
Aharonov, D.1
Arad, I.2
Eban, E.3
Landau, Z.4
-
3
-
-
0000245736
-
Complexity of finding embeddings in a k-tree
-
S. ARNBORG, D. G. CORNEIL, AND A. PROSKUROWSKI, Complexity of finding embeddings in a k-tree, SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 277-284.
-
(1987)
SIAM J. Algebraic Discrete Methods
, vol.8
, pp. 277-284
-
-
Arnborg, S.1
Corneil, D.G.2
Proskurowski, A.3
-
4
-
-
67650653752
-
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, Algorithmica, 55 (2009), pp. 395-421.
-
(2009)
Algorithmica
, vol.55
, pp. 395-421
-
-
Aharonov, D.1
Jones, V.2
Landau, Z.3
-
5
-
-
37349008172
-
-
arXiv Preprint quant-ph/0611156
-
D. AHARONOV, Z. LANDAU, AND J. MAKOWSKY, The Quantum, FFT Can Be Classically Simulated, arXiv Preprint quant-ph/0611156, 2006.
-
(2006)
The Quantum, FFT can be Classically Simulated
-
-
Aharonov, D.1
Landau, Z.2
Makowsky, J.3
-
7
-
-
26644475002
-
Approximate counting and quantum computation
-
M. BORDEWICH, M. FREEDMAN, L. LOVÁSZ, AND D. WELSH, Approximate counting and quantum computation, Combin. Probab. Comput., 14 (2005), pp. 737-754.
-
(2005)
Combin. Probab. Comput.
, vol.14
, pp. 737-754
-
-
Bordewich, M.1
Freedman, M.2
Lovász, L.3
Welsh, D.4
-
9
-
-
0038784710
-
Exponential algorithmic speedup by a quantum walk
-
A. M. CHILDS, R. CLEVE, E. DEOTTO, E. FARHI, S. GUTMANN, AND D. A. SPIELMAN, Exponential algorithmic speedup by a quantum walk, in Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing, 2003, pp. 59-68.
-
(2003)
Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing
, pp. 59-68
-
-
Childs, A.M.1
Cleve, R.2
Deotto, E.3
Farhi, E.4
Gutmann, S.5
Spielman, D.A.6
-
10
-
-
21144434561
-
The relative complexity of approximate counting problems
-
M. DYER, L. GOLDBERG, C. GREENHILL, AND M. JERRUM, The relative complexity of approximate counting problems, Algorithmica, 38 (2004), pp. 471-500.
-
(2004)
Algorithmica
, vol.38
, pp. 471-500
-
-
Dyer, M.1
Goldberg, L.2
Greenhill, C.3
Jerrum, M.4
-
12
-
-
0037220758
-
Topological quantum computation
-
M. FREEDMAN, A. KITAEV, M. LARSEN, AND Z. WANG, Topological quantum computation, Bull. Amer. Math. Soc. (N.S.), 40 (2002), pp. 31-38.
-
(2002)
Bull. Amer. Math. Soc. (N.S.)
, vol.40
, pp. 31-38
-
-
Freedman, M.1
Kitaev, A.2
Larsen, M.3
Wang, Z.4
-
13
-
-
0035998071
-
Simulation of topological field theories by quantum computers
-
M. FREEDMAN, A. KITAEV, AND Z. WANG, Simulation of topological field theories by quantum computers, Comm. Math. Phys., 227 (2002), pp. 587-603.
-
(2002)
Comm. Math. Phys.
, vol.227
, pp. 587-603
-
-
Freedman, M.1
Kitaev, A.2
Wang, Z.3
-
14
-
-
0035998074
-
A modular functor which is universal for quantum computation
-
M. FREEDMAN, M. LARSEN, AND Z. WANG, A modular functor which is universal for quantum computation, Comm. Math. Phys., 227 (2002), pp. 605-622.
-
(2002)
Comm. Math. Phys.
, vol.227
, pp. 605-622
-
-
Freedman, M.1
Larsen, M.2
Wang, Z.3
-
16
-
-
46149085614
-
Inapproximability of the tutte polynomial
-
L. A. GOLDBERG AND M. JERRUM, Inapproximability of the Tutte polynomial, Inform, and Comput., 206 (2008), pp. 908-929.
-
(2008)
Inform, and Comput.
, vol.206
, pp. 908-929
-
-
Goldberg, L.A.1
Jerrum, M.2
-
17
-
-
30244473678
-
Some simplified NP-complete graph problems
-
M. R. GAREY, D. S. JOHNSON, AND L. STOCKMEYER, Some simplified NP-complete graph problems, Theoret. Comput. Sci., 1 (1976), pp. 237-267.
-
(1976)
Theoret. Comput. Sci.
, vol.1
, pp. 237-267
-
-
Garey, M.R.1
Johnson, D.S.2
Stockmeyer, L.3
-
18
-
-
41249094096
-
On the exact evaluation of certain instances of the potts partition function by quantum computers
-
J. GERACI AND D. LIDAR, On the exact evaluation of certain instances of the Potts partition function by quantum computers, Comm. Math. Phys., 279 (2008), pp. 735-768.
-
(2008)
Comm. Math. Phys.
, vol.279
, pp. 735-768
-
-
Geraci, J.1
Lidar, D.2
-
19
-
-
33947288591
-
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, J. ACM, 54 (2007), p. 1.
-
(2007)
J. ACM
, vol.54
, pp. 1
-
-
Hallgren, S.1
-
20
-
-
62149125235
-
Renormalization algorithm with graph enhancement
-
R. HUBENER, C. KRUSZYNSKA, L. HARTMANN, W. DÜR, F. VERSTRAETE, J. EISERT, AND M. PLENIO, Renormalization algorithm with graph enhancement, Phys. Rev. A (3), 79 (2009), p. 022317.
-
(2009)
Phys. Rev. A (3)
, vol.79
, pp. 022317
-
-
Hubener, R.1
Kruszynska, C.2
Hartmann, L.3
Dür, W.4
Verstraete, F.5
Eisert, J.6
Plenio, M.7
-
21
-
-
84974224170
-
On the computational complexity of the jones and tutte polynomials
-
F. JAEGER, D. VERTIGAN, AND D. WELSH, On the computational complexity of the Jones and Tutte polynomials, Math. Proc. Cambridge Philos. Soc, 108 (1990), pp. 35-53.
-
(1990)
Math. Proc. Cambridge Philos. Soc
, vol.108
, pp. 35-53
-
-
Jaeger, F.1
Vertigan, D.2
Welsh, D.3
-
22
-
-
11544307709
-
Power of one bit of quantum information
-
E. KNILL AND R. LAFLAMME, Power of one bit of quantum information, Phys. Rev. Lett., 81 (1998), pp. 5672-5675.
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5672-5675
-
-
Knill, E.1
Laflamme, R.2
-
23
-
-
0004342981
-
Classical and quantum, computation
-
Boston, MA
-
A. Y. KITAEV, A. H. SHEN, AND M. N. VYALYI, Classical and Quantum, Computation, American Mathematical Society, Boston, MA, 2002.
-
(2002)
American Mathematical Society
-
-
Kitaev, A.Y.1
Shen, A.H.2
Vyalyi, M.N.3
-
24
-
-
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), pp. 170-188.
-
(2005)
SIAM J. Comput.
, vol.35
, pp. 170-188
-
-
Kuperberg, G.1
-
25
-
-
54849416233
-
Simulating quantum computation by contracting tensor networks
-
I. MARKOV AND Y. SHI, Simulating quantum computation by contracting tensor networks, SIAM J. Comput., 38 (2008), pp. 963-981.
-
(2008)
SIAM J. Comput.
, vol.38
, pp. 963-981
-
-
Markov, I.1
Shi, Y.2
-
27
-
-
33747637170
-
Classical simulation of quantum many-body systems with a tree tensor network
-
Y. SHI, L. DUAN, AND G. VIDAL, Classical simulation of quantum many-body systems with a tree tensor network, Phys. Rev. A (3), 74 (2006), p. 022320.
-
(2006)
Phys. Rev. A (3)
, vol.74
, pp. 022320
-
-
Shi, Y.1
Duan, L.2
Vidal, G.3
-
28
-
-
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), pp. 1484-1509.
-
(1997)
SIAM J. Comput.
, vol.26
, pp. 1484-1509
-
-
Shor, P.W.1
-
29
-
-
56249109842
-
Estimating jones polynomials is a complete problem for one clean qubit
-
P. W. SHOR AND S. P. JORDAN, Estimating Jones polynomials is a complete problem for one clean qubit, Quantum Inf. Comput., 8 (2008), pp. 0681-0714.
-
(2008)
Quantum Inf. Comput.
, vol.8
, pp. 0681-0714
-
-
Shor, P.W.1
Jordan, S.P.2
-
30
-
-
29844450023
-
The multivariate tutte polynomial (alias potts model) for graphs and matroids
-
B. S. Webb, ed., Cambridge University Press, Cambridge
-
A. D. SOKAL, The multivariate Tutte polynomial (alias Potts model) for graphs and matroids, in Surveys in Combinatorics 2005, B. S. Webb, ed., Cambridge University Press, Cambridge, 2005, pp. 173-226.
-
(2005)
Surveys in Combinatorics 2005
, pp. 173-226
-
-
Sokal, A.D.1
-
32
-
-
0038754135
-
Quantum algorithms for some hidden shift problems
-
W. VAN DAM, S. HALLGREN, AND L. IP, Quantum algorithms for some hidden shift problems, in Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2003, pp. 489-498.
-
(2003)
Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 489-498
-
-
Van Dam, W.1
Hallgren, S.2
Ip, L.3
-
33
-
-
77956036826
-
-
M. VAN DEN NEST, private communication, 2007
-
M. VAN DEN NEST, private communication, 2007.
-
-
-
-
35
-
-
77956031184
-
-
M. VAN DEN NEST, private communication, 2009
-
M. VAN DEN NEST, private communication, 2009.
-
-
-
-
36
-
-
40949093486
-
Completeness of the classical 2D ising model and universal quantum computation
-
M. VAN DEN NEST, W. DÜR, AND H. J. BRIEGEL, Completeness of the classical 2D Ising model and universal quantum computation, Phys. Rev. Lett., 100 (2008), p. 110501.
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 110501
-
-
Van Den Nest, M.1
Dür, W.2
Briegel, H.J.3
-
37
-
-
33947240733
-
Classical spin models and the quantum-stabilizer formalism
-
M. VAN DEN NEST, W. DUR, AND H. BRIEGEL, Classical spin models and the quantum-stabilizer formalism, Phys. Rev. Lett. 98 (2007), p. 117207.
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 117207
-
-
Van Den Nest, M.1
Dur, W.2
Briegel, H.3
-
38
-
-
70849097490
-
Quantum algorithms for spin models and simulable gate sets for quantum computation
-
M. VAN DEN NEST, W. DÜR, H. J. RAUSSENDORF, AND R. BRIEGEL, Quantum algorithms for spin models and simulable gate sets for quantum computation, Phys. Rev. A (3), 80 (2009), p. 052334.
-
(2009)
Phys. Rev. A (3)
, vol.80
, pp. 052334
-
-
Van Den Nest, M.1
Dür, W.2
Raussendorf, H.J.3
Briegel, R.4
-
39
-
-
33846679636
-
Classical simulation versus universality in measurement-based quantum computation
-
M. VAN DEN NEST, W. DÜR, G. VIDAL, AND H. J. BRIEGEL, Classical simulation versus universality in measurement-based quantum computation, Phys. Rev. A (3), 75 (2007), p. 012337.
-
(2007)
Phys. Rev. A (3)
, vol.75
, pp. 012337
-
-
Van Den Nest, M.1
Dür, W.2
Vidal, G.3
Briegel, H.J.4
-
40
-
-
0242425255
-
Efficient classical simulation of slightly entangled quantum computations
-
G. VIDAL, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett., 91 (2003), p. 147902.
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 147902
-
-
Vidal, G.1
-
41
-
-
4344570203
-
Efficient simulation of one-dimensional quantum many-body systems
-
G. VIDAL, Efficient simulation of one-dimensional quantum many-body systems, Phys. Rev. Lett., 93 (2004), p. 040502.
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 040502
-
-
Vidal, G.1
-
42
-
-
36549074539
-
Entanglement renormalization
-
G. VIDAL, Entanglement renormalization, Phys. Rev. Lett., 99 (2007), p. 220405.
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 220405
-
-
Vidal, G.1
-
45
-
-
49349101553
-
The jones polynomial: Quantum algorithms and applications in quantum complexity theory
-
J. YARD AND P. WOCJAN, The Jones polynomial: Quantum algorithms and applications in quantum complexity theory, Quantum Inf. Comput., 8 (2008), pp. 0147-0180.
-
(2008)
Quantum Inf. Comput.
, vol.8
, pp. 0147-0180
-
-
Yard, J.1
Wocjan, P.2
|