-
1
-
-
0035917832
-
-
SCIEAS 0036-8075
-
E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science SCIEAS 0036-8075 292, 472 (2001).
-
(2001)
Science
, vol.292
, pp. 472
-
-
Farhi, E.1
Goldstone, J.2
Gutmann, S.3
Lapan, J.4
Lundgren, A.5
Preda, D.6
-
2
-
-
0001276588
-
-
CHPLBC 0009-2614 10.1016/0009-2614(94)00117-0
-
A. B. Finnila, M. A. Gomez, C. Sebenik, C. Stenson, and J. D. Doll, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(94)00117-0 219, 343 (1994).
-
(1994)
Chem. Phys. Lett.
, vol.219
, pp. 343
-
-
Finnila, A.B.1
Gomez, M.A.2
Sebenik, C.3
Stenson, C.4
Doll, J.D.5
-
3
-
-
0000071705
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.58.5355
-
T. Kadowaki and H. Nishimori, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5355 58, 5355 (1998).
-
(1998)
Phys. Rev. e
, vol.58
, pp. 5355
-
-
Kadowaki, T.1
Nishimori, H.2
-
4
-
-
0033617582
-
-
SCIEAS 0036-8075 10.1126/science.284.5415.779
-
J. Brooke, D. Bitko, T. F. Rosenbaum, and G. Aeppli, Science SCIEAS 0036-8075 10.1126/science.284.5415.779 284, 779 (1999).
-
(1999)
Science
, vol.284
, pp. 779
-
-
Brooke, J.1
Bitko, D.2
Rosenbaum, T.F.3
Aeppli, G.4
-
5
-
-
0037192472
-
-
SCIEAS 0036-8075 10.1126/science.1068774
-
G. E. Santoro, R. Martoňák, E. Tosatti, and R. Car, Science SCIEAS 0036-8075 10.1126/science.1068774 295, 2427 (2002).
-
(2002)
Science
, vol.295
, pp. 2427
-
-
Santoro, G.E.1
Martoňák, R.2
Tosatti, E.3
Car, R.4
-
7
-
-
33747619871
-
-
JPHAC5 0305-4470 10.1088/0305-4470/39/36/R01
-
G. E. Santoro and E. Tosatti, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/36/R01 39, R393 (2006).
-
(2006)
J. Phys. A
, vol.39
, pp. 393
-
-
Santoro, G.E.1
Tosatti, E.2
-
8
-
-
27144451985
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.105701
-
W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.105701 95, 105701 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 105701
-
-
Zurek, W.H.1
Dorner, U.2
Zoller, P.3
-
10
-
-
17744390031
-
-
IEEE Computer Society, Washington, DC
-
D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, in Proceedings of the 45th Annual IEEE Symposium of Foundations of Computer Science (FOCS'04) (IEEE Computer Society, Washington, DC, 2004), p. 42.
-
(2004)
Proceedings of the 45th Annual IEEE Symposium of Foundations of Computer Science (FOCS'04)
, pp. 42
-
-
Aharonov, D.1
Van Dam, W.2
Kempe, J.3
Landau, Z.4
Lloyd, S.5
Regev, O.6
-
11
-
-
35648982516
-
-
arXiv:quant-ph/0405098 (unpublished).
-
D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, arXiv:quant-ph/0405098 (unpublished).
-
-
-
Aharonov, D.1
Van Dam, W.2
Kempe, J.3
Landau, Z.4
Lloyd, S.5
Regev, O.6
-
12
-
-
35648945393
-
-
In order to optimize the adiabatic algorithm one should also find the optimal time dependence of the coupling constant Γ(t) (see Ref.).
-
In order to optimize the adiabatic algorithm one should also find the optimal time dependence of the coupling constant Γ(t) (see Ref.).
-
-
-
-
13
-
-
0036542418
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.65.042308
-
J. Roland and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042308 65, 042308 (2002).
-
(2002)
Phys. Rev. A
, vol.65
, pp. 042308
-
-
Roland, J.1
Cerf, N.J.2
-
14
-
-
0009529936
-
-
PRPLCM 0370-1573 10.1016/0370-1573(80)90091-5
-
T. W. B. Kibble, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(80)90091-5 67, 183 (1980).
-
(1980)
Phys. Rep.
, vol.67
, pp. 183
-
-
Kibble, T.W.B.1
-
15
-
-
0030295474
-
-
PRPLCM 0370-1573 10.1016/S0370-1573(96)00009-9
-
W. H. Zurek, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(96)00009-9 276, 177 (1996).
-
(1996)
Phys. Rep.
, vol.276
, pp. 177
-
-
Zurek, W.H.1
-
16
-
-
0029746512
-
-
NATUAS 0028-0836 10.1038/382332a0
-
C. Bauerle, Y. M. Bunkov, S. N. Fisher, H. Godfrin, and G. R. Pickett, Nature (London) NATUAS 0028-0836 10.1038/382332a0 382, 332 (1996).
-
(1996)
Nature (London)
, vol.382
, pp. 332
-
-
Bauerle, C.1
Bunkov, Y.M.2
Fisher, S.N.3
Godfrin, H.4
Pickett, G.R.5
-
17
-
-
0029743504
-
-
NATUAS 0028-0836 10.1038/382334a0
-
V. M. H. Ruutu, V. B. Eltsov, A. J. Gill, T. W. B. Kibble, M. Krusius, Y. G. Makhlin, B. Placais, G. E. Volovik, and W. Xu, Nature (London) NATUAS 0028-0836 10.1038/382334a0 382, 334 (1996).
-
(1996)
Nature (London)
, vol.382
, pp. 334
-
-
Ruutu, V.M.H.1
Eltsov, V.B.2
Gill, A.J.3
Kibble, T.W.B.4
Krusius, M.5
Makhlin, Y.G.6
Placais, B.7
Volovik, G.E.8
Xu, W.9
-
18
-
-
29644438531
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.72.161201
-
A. Polkovnikov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.161201 72, 161201 (R) (2005).
-
(2005)
Phys. Rev. B
, vol.72
, pp. 161201
-
-
Polkovnikov, A.1
-
19
-
-
35649005010
-
-
For a general approach see also Ref..
-
For a general approach see also Ref..
-
-
-
-
21
-
-
33244494406
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.245701
-
J. Dziarmaga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 245701 95, 245701 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 245701
-
-
Dziarmaga, J.1
-
22
-
-
33744583732
-
-
APNYA6 0003-4916 10.1016/0003-4916(70)90270-8
-
P. Pfeuty, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(70)90270- 8 57, 79 (1970).
-
(1970)
Ann. Phys. (N.Y.)
, vol.57
, pp. 79
-
-
Pfeuty, P.1
-
23
-
-
27144488642
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.035701
-
B. Damski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 035701 95, 035701 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 035701
-
-
Damski, B.1
-
24
-
-
33745018474
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.73.063405
-
B. Damski and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063405 73, 063405 (2006).
-
(2006)
Phys. Rev. A
, vol.73
, pp. 063405
-
-
Damski, B.1
Zurek, W.H.2
-
25
-
-
33646343964
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.73.043614
-
R. W. Cherng and L. S. Levitov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.043614 73, 043614 (2006).
-
(2006)
Phys. Rev. A
, vol.73
, pp. 043614
-
-
Cherng, R.W.1
Levitov, L.S.2
-
26
-
-
34249330649
-
-
NJOPFM 1367-2630 10.1088/1367-2630/9/5/134
-
A. Fubini, A. Osterloh, and G. Falci, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/5/134 9, 134 (2007).
-
(2007)
New J. Phys.
, vol.9
, pp. 134
-
-
Fubini, A.1
Osterloh, A.2
Falci, G.3
-
27
-
-
33751088298
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.97.200601
-
R. Schutzhold, M. Uhlmann, Y. Xu, and U. R. Fischer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.200601 97, 200601 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 200601
-
-
Schutzhold, R.1
Uhlmann, M.2
Xu, Y.3
Fischer, U.R.4
-
28
-
-
33846817473
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.75.023603
-
F. M. Cucchietti, B. Damski, J. Dziarmaga, and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023603 75, 023603 (2007).
-
(2007)
Phys. Rev. A
, vol.75
, pp. 023603
-
-
Cucchietti, F.M.1
Damski, B.2
Dziarmaga, J.3
Zurek, W.H.4
-
29
-
-
4043106399
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.69.062302
-
J. I. Latorre and R. Orus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062302 69, 062302 (2004).
-
(2004)
Phys. Rev. A
, vol.69
, pp. 062302
-
-
Latorre, J.I.1
Orus, R.2
-
30
-
-
34347354295
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.75.052321
-
L. Cincio, J. Dziarmaga, M. M. Rams, and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.052321 75, 052321 (2007).
-
(2007)
Phys. Rev. A
, vol.75
, pp. 052321
-
-
Cincio, L.1
Dziarmaga, J.2
Rams, M.M.3
Zurek, W.H.4
-
31
-
-
0022504321
-
-
SCIEAS 0036-8075 10.1126/science.3755256
-
J. J. Hopfield and D. W. Tank, Science SCIEAS 0036-8075 10.1126/science.3755256 233, 625 (1986).
-
(1986)
Science
, vol.233
, pp. 625
-
-
Hopfield, J.J.1
Tank, D.W.2
-
32
-
-
0037008520
-
-
SCIEAS 0036-8075 10.1126/science.1073287
-
M. Mézard, G. Parisi, and R. Zecchina, Science SCIEAS 0036-8075 10.1126/science.1073287 297, 812 (2002).
-
(2002)
Science
, vol.297
, pp. 812
-
-
Mézard, M.1
Parisi, G.2
Zecchina, R.3
-
33
-
-
34347358008
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.74.064416
-
J. Dziarmaga, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.064416 74, 064416 (2006).
-
(2006)
Phys. Rev. B
, vol.74
, pp. 064416
-
-
Dziarmaga, J.1
-
34
-
-
25744458207
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.51.6411
-
D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.6411 51, 6411 (1995).
-
(1995)
Phys. Rev. B
, vol.51
, pp. 6411
-
-
Fisher, D.S.1
-
35
-
-
0008417829
-
-
APNYA6 0003-4916 10.1016/0003-4916(61)90115-4
-
E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 407 (1961).
-
(1961)
Ann. Phys. (N.Y.)
, vol.16
, pp. 407
-
-
Lieb, E.1
Schultz, T.2
Mattis, D.3
-
36
-
-
0001154797
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.56.11691
-
A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.11691 56, 11691 (1997).
-
(1997)
Phys. Rev. B
, vol.56
, pp. 11691
-
-
Young, A.P.1
-
37
-
-
0009312947
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.53.8486
-
A. P. Young and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.8486 53, 8486 (1996).
-
(1996)
Phys. Rev. B
, vol.53
, pp. 8486
-
-
Young, A.P.1
Rieger, H.2
-
38
-
-
0000114421
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.58.9131
-
D. S. Fisher and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.9131 58, 9131 (1998).
-
(1998)
Phys. Rev. B
, vol.58
, pp. 9131
-
-
Fisher, D.S.1
Young, A.P.2
-
39
-
-
0001581188
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.2.1075
-
E. Barouch, B. M. McCoy, and M. Dresden, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.2.1075 2, 1075 (1970).
-
(1970)
Phys. Rev. A
, vol.2
, pp. 1075
-
-
Barouch, E.1
McCoy, B.M.2
Dresden, M.3
-
40
-
-
0001056711
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.59.11308
-
F. Igloi, R. Juhasz, and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.11308 59, 11308 (1999).
-
(1999)
Phys. Rev. B
, vol.59
, pp. 11308
-
-
Igloi, F.1
Juhasz, R.2
Rieger, H.3
-
41
-
-
21644464555
-
-
JUPSAU 0031-9015 10.1143/JPSJ.74.1649
-
S. Suzuki and M. Okada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.1649 74, 1649 (2005).
-
(2005)
J. Phys. Soc. Jpn.
, vol.74
, pp. 1649
-
-
Suzuki, S.1
Okada, M.2
-
42
-
-
4243809372
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.57.2203
-
D. A. Huse and D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.2203 57, 2203 (1986).
-
(1986)
Phys. Rev. Lett.
, vol.57
, pp. 2203
-
-
Huse, D.A.1
Fisher, D.S.2
-
43
-
-
0002304341
-
-
JPCAFH 1089-5639 10.1021/jp991868i
-
Y. H. Lee and B. J. Berne, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp991868i 104, 86 (2000).
-
(2000)
J. Phys. Chem. A
, vol.104
, pp. 86
-
-
Lee, Y.H.1
Berne, B.J.2
-
44
-
-
0035134004
-
-
JPCAFH 1089-5639 10.1021/jp002589u
-
Y. H. Lee and B. J. Berne, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp002589u 105, 459 (2001).
-
(2001)
J. Phys. Chem. A
, vol.105
, pp. 459
-
-
Lee, Y.H.1
Berne, B.J.2
-
45
-
-
0036751848
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.66.094203
-
R. Martoňák, G. E. Santoro, and E. Tosatti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.094203 66, 094203 (2002).
-
(2002)
Phys. Rev. B
, vol.66
, pp. 094203
-
-
Martoňák, R.1
Santoro, G.E.2
Tosatti, E.3
-
46
-
-
0037440936
-
-
JCPSA6 0021-9606 10.1063/1.1527919
-
P. Liu and B. J. Berne, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1527919 118, 2999 (2003).
-
(2003)
J. Chem. Phys.
, vol.118
, pp. 2999
-
-
Liu, P.1
Berne, B.J.2
-
47
-
-
41349101090
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.70.057701
-
R. Martoňák, G. E. Santoro, and E. Tosatti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.057701 70, 057701 (2004).
-
(2004)
Phys. Rev. e
, vol.70
, pp. 057701
-
-
Martoňák, R.1
Santoro, G.E.2
Tosatti, E.3
-
48
-
-
33749158609
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.72.014303
-
L. Stella, G. E. Santoro, and E. Tosatti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.014303 72, 014303 (2005).
-
(2005)
Phys. Rev. B
, vol.72
, pp. 014303
-
-
Stella, L.1
Santoro, G.E.2
Tosatti, E.3
-
49
-
-
33645745459
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.73.144302
-
L. Stella, G. E. Santoro, and E. Tosatti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.144302 73, 144302 (2006).
-
(2006)
Phys. Rev. B
, vol.73
, pp. 144302
-
-
Stella, L.1
Santoro, G.E.2
Tosatti, E.3
-
51
-
-
34347234592
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.75.051112
-
S. Suzuki, H. Nishimori, and M. Suzuki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.051112 75, 051112 (2007).
-
(2007)
Phys. Rev. e
, vol.75
, pp. 051112
-
-
Suzuki, S.1
Nishimori, H.2
Suzuki, M.3
-
52
-
-
35648954723
-
-
We mention, however, that for finite-size Ising systems, convergence bounds have been proved for AQC-QA in terms of power-law annealing schedules (see Ref.).
-
We mention, however, that for finite-size Ising systems, convergence bounds have been proved for AQC-QA in terms of power-law annealing schedules (see Ref.).
-
-
-
-
53
-
-
33947249075
-
-
JPHAC5 0305-4470 10.1088/0305-4470/39/45/004
-
S. Morita and H. Nishimori, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/45/004 39, 13903 (2006).
-
(2006)
J. Phys. A
, vol.39
, pp. 13903
-
-
Morita, S.1
Nishimori, H.2
-
54
-
-
0242425255
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
-
G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 147902
-
-
Vidal, G.1
-
55
-
-
19744383468
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.260602
-
G. Refael and J. E. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.260602 93, 260602 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 260602
-
-
Refael, G.1
Moore, J.E.2
-
56
-
-
29644445490
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.72.140408
-
N. Laflorencie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.140408 72, 140408 (R) (2005).
-
(2005)
Phys. Rev. B
, vol.72
, pp. 140408
-
-
Laflorencie, N.1
|