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Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 6, 2009, Pages

First-order quantum phase transition in adiabatic quantum computation

(2) Amin, M H S a Choi, V a,b

a D WAVE SYSTEMS INC (Canada)

b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC QUANTUM COMPUTATION; ANALYTICAL FORMULAS; FIRST-ORDER QUANTUM PHASE TRANSITION; GAP SIZE; HAMILTONIAN PARAMETERS; LOCAL MINIMUMS; MAXIMUM INDEPENDENT SETS; NUMERICAL CALCULATION; PERTURBATION EXPANSIONS; SMALL GAPS;

COMPUTATIONAL LINGUISTICS; HAMILTONIANS; QUANTUM COMPUTERS; QUANTUM THEORY; SET THEORY;

PHASE TRANSITIONS;

EID: 72149129752 PISSN: 10502947 EISSN: 10941622 Source Type: Journal
DOI: 10.1103/PhysRevA.80.062326 Document Type: Article

Times cited : (113)

References (41)

1
- 0035917832
- 10.1126/science.1057726
- E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 292, 472 (2001). 10.1126/science.1057726
- (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
- 17744390031
- Proceedings of the 45th FOCS, 2004 (unpublished), p.
- D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, Proceedings of the 45th FOCS, 2004 (unpublished), p. 42.
- Aharonov, D.¹ Van Dam, W.² Kempe, J.³ Landau, Z.⁴ Lloyd, S.⁵ Regev, O.⁶

3
- 0036146412
- 10.1103/PhysRevA.65.012322;
- A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A 65, 012322 (2001) 10.1103/PhysRevA.65.012322
- (2001) Phys. Rev. A , vol.65 , pp. 012322
- Childs, A.M.¹ Farhi, E.² Preskill, J.³

4
- 18444410555
- 10.1103/PhysRevA.71.032330;
- J. Roland and N. J. Cerf, Phys. Rev. A 71, 032330 (2005) 10.1103/PhysRevA.71.032330
- (2005) Phys. Rev. A , vol.71 , pp. 032330
- Roland, J.¹ Cerf, N.J.²

5
- 33751216859
- 10.1103/PhysRevA.74.052330;
- S. Ashhab, J. R. Johansson, and F. Nori, Phys. Rev. A 74, 052330 (2006) 10.1103/PhysRevA.74.052330
- (2006) Phys. Rev. A , vol.74 , pp. 052330
- Ashhab, S.¹ Johansson, J.R.² Nori, F.³

6
- 34347339457
- 10.1103/PhysRevA.75.062313
- M. Tiersch and R. Schützhold, Phys. Rev. A 75, 062313 (2007). 10.1103/PhysRevA.75.062313
- (2007) Phys. Rev. A , vol.75 , pp. 062313
- Tiersch, M.¹ Schützhold, R.²

7
- 40749092763
- 10.1103/PhysRevLett.100.060503;
- M. H. S. Amin, P. J. Love, and C. J. S. Truncik, Phys. Rev. Lett. 100, 060503 (2008) 10.1103/PhysRevLett.100.060503
- (2008) Phys. Rev. Lett. , vol.100 , pp. 060503
- Amin, M.H.S.¹ Love, P.J.² Truncik, C.J.S.³

8
- 61549125360
- 10.1103/PhysRevA.79.022107;
- M. H. S. Amin, D. V. Averin, and J. A. Nesteroff, Phys. Rev. A 79, 022107 (2009) 10.1103/PhysRevA.79.022107
- (2009) Phys. Rev. A , vol.79 , pp. 022107
- Amin, M.H.S.¹ Averin, D.V.² Nesteroff, J.A.³

9
- 68949163915
- 10.1103/PhysRevA.80.022303
- M. Amin, C. Truncik, and D. Averin, Phys. Rev. A 80, 022303 (2009). 10.1103/PhysRevA.80.022303
- (2009) Phys. Rev. A , vol.80 , pp. 022303
- Amin, M.¹ Truncik, C.² Averin, D.³

10
- 72149093425
- arXiv:0805.2757.
- S. Lloyd, e-print arXiv:0805.2757.
- Lloyd, S.¹

11
- 33744964955
- 10.1103/PhysRevA.73.062307
- G. Schaller, S. Mostame, and R. Schützhold, Phys. Rev. A 73, 062307 (2006). 10.1103/PhysRevA.73.062307
- (2006) Phys. Rev. A , vol.73 , pp. 062307
- Schaller, G.¹ Mostame, S.² Schützhold, R.³

12
- 70350733237
- 10.1063/1.3236685
- D. Lidar, A. Rezakhani, and A. Hamma, J. Math. Phys. 50, 102106 (2009). 10.1063/1.3236685
- (2009) J. Math. Phys. , vol.50 , pp. 102106
- Lidar, D.¹ Rezakhani, A.² Hamma, A.³

13
- 0035189687
- Proceedings of the 42nd FOCS, 2001 (unpublished) pp.
- W. van Dam, M. Mosca, and U. Vazirani, Proceedings of the 42nd FOCS, 2001 (unpublished) pp. 279-287
- Van Dam, W.¹ Mosca, M.² Vazirani, U.³

14
- 0036542418
- 10.1103/PhysRevA.65.042308;
- J. Roland and N. J. Cerf, Phys. Rev. A 65, 042308 (2002) 10.1103/PhysRevA.65.042308
- (2002) Phys. Rev. A , vol.65 , pp. 042308
- Roland, J.¹ Cerf, N.J.²

15
- 33144479674
- 10.1103/PhysRevA.73.022329;
- M. Žnidarič and M. Horvat, Phys. Rev. A 73, 022329 (2006) 10.1103/PhysRevA.73.022329
- (2006) Phys. Rev. A , vol.73 , pp. 022329
- Žnidarič, M.¹ Horvat, M.²

16
- 56349168459
- 10.1007/s10909-008-9831-5;
- R. Schützhold, J. Low Temp. Phys. 153, 228 (2008) 10.1007/s10909-008-9831-5
- (2008) J. Low Temp. Phys. , vol.153 , pp. 228
- Schützhold, R.¹

17
- 53349171849
- 10.1103/PhysRevA.78.032328
- G. Schaller, Phys. Rev. A 78, 032328 (2008). 10.1103/PhysRevA.78.032328
- (2008) Phys. Rev. A , vol.78 , pp. 032328
- Schaller, G.¹

18
- 26944433357
- 10.1103/PhysRevA.71.062305;
- M. Žnidarič, Phys. Rev. A 71, 062305 (2005) 10.1103/PhysRevA.71.062305
- (2005) Phys. Rev. A , vol.71 , pp. 062305
- Žnidarič, M.¹

19
- 72149111018
- arXiv:0708.1882.
- G. Schaller and R. Schützhold, e-print arXiv:0708.1882.
- Schaller, G.¹ Schützhold, R.²

20
- 55049087841
- 10.1103/PhysRevLett.101.170503
- A. P. Young, S. Knysh, and V. N. Smelyanskiy, Phys. Rev. Lett. 101, 170503 (2008). 10.1103/PhysRevLett.101.170503
- (2008) Phys. Rev. Lett. , vol.101 , pp. 170503
- Young, A.P.¹ Knysh, S.² Smelyanskiy, V.N.³

21
- 72149116865
- arXiv:cond-mat/0602257.
- S. Knysh and V. Smelyanskiy, e-print arXiv:cond-mat/0602257.
- Knysh, S.¹ Smelyanskiy, V.²

22
- 72149100070
- arXiv:quant-ph/0608017.
- R. Schützhold and G. Schaller, e-print arXiv:quant-ph/0608017.
- Schützhold, R.¹ Schaller, G.²

23
- 40049108135
- 10.1126/science.1154732
- S. Lloyd, Science 319, 1209 (2008). 10.1126/science.1154732
- (2008) Science , vol.319 , pp. 1209
- Lloyd, S.¹

24
- 72149111308
- Proceedings of the 36th STOC, 2004 (unpublished), p.
- B. Reichardt, Proceedings of the 36th STOC, 2004 (unpublished), p. 502.
- Reichardt, B.¹

25
- 41849135029
- 10.1103/PhysRevLett.100.130503
- M. H. S. Amin, Phys. Rev. Lett. 100, 130503 (2008). 10.1103/PhysRevLett. 100.130503
- (2008) Phys. Rev. Lett. , vol.100 , pp. 130503
- Amin, M.H.S.¹

26
- 84924581223
- Cambridge University Press, New York
- S. Sachdev, Quantum Phase Transitions (Cambridge University Press, New York, 1999).
- (1999) Quantum Phase Transitions
- Sachdev, S.¹

27
- 0000605284
- 10.1103/PhysRevB.26.154;
- D. Boyanovsky and J. L. Cardy, Phys. Rev. B 26, 154 (1982) 10.1103/PhysRevB.26.154
- (1982) Phys. Rev. B , vol.26 , pp. 154
- Boyanovsky, D.¹ Cardy, J.L.²

28
- 24544444648
- 10.1103/PhysRevB.52.384;
- N. Read, S. Sachdev, and J. Ye, Phys. Rev. B 52, 384 (1995) 10.1103/PhysRevB.52.384
- (1995) Phys. Rev. B , vol.52 , pp. 384
- Read, N.¹ Sachdev, S.² Ye, J.³

29
- 33646893732
- 10.1088/0305-4470/39/22/R01;
- T. Vojta, J. Phys. A 39, R143 (2006) 10.1088/0305-4470/39/22/R01
- (2006) J. Phys. A , vol.39 , pp. 143
- Vojta, T.¹

30
- 25744458207
- 10.1103/PhysRevB.51.6411;
- D. S. Fisher, Phys. Rev. B 51, 6411 (1995) 10.1103/PhysRevB.51.6411
- (1995) Phys. Rev. B , vol.51 , pp. 6411
- Fisher, D.S.¹

31
- 34347358008
- 10.1103/PhysRevB.74.064416;
- J. Dziarmaga, Phys. Rev. B 74, 064416 (2006) 10.1103/PhysRevB.74.064416
- (2006) Phys. Rev. B , vol.74 , pp. 064416
- Dziarmaga, J.¹

32
- 35649010484
- 10.1103/PhysRevB.76.144427
- T. Caneva, R. Fazio, and G. E. Santoro, Phys. Rev. B 76, 144427 (2007). 10.1103/PhysRevB.76.144427
- (2007) Phys. Rev. B , vol.76 , pp. 144427
- Caneva, T.¹ Fazio, R.² Santoro, G.E.³

33
- 72149102875
- W. M. Kaminsky and S. Lloyd, presentation at APS March Meeting in Denver, Colorado (2007).
- (2007)
- Kaminsky, W.M.¹ Lloyd, S.²

34
- 0003570366
- Addison-Wesley, Reading, MA
- J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1995).
- (1995) Modern Quantum Mechanics
- Sakurai, J.J.¹

35
- 55849152053
- 10.1007/s11128-008-0082-9
- V. Choi, Quantum Inf. Process. 7, 193 (2008). 10.1007/s11128-008-0082-9
- (2008) Quantum Inf. Process. , vol.7 , pp. 193
- Choi, V.¹

36
- 72149134401
- arXiv:0908.2782.
- B. Altshuler, H. Krovi, and J. Roland, e-print arXiv:0908.2782.
- Altshuler, B.¹ Krovi, H.² Roland, J.³

37
- 72149133557
- CTP 4076 (unpublished);
- E. Farhi, J. Goldstone, D. Gosset, S. Gutmann, H. Meyer, and P. Shor, MIT Report No. CTP 4076 (unpublished)
- Farhi, E.¹ Goldstone, J.² Gosset, D.³ Gutmann, S.⁴ Meyer, H.⁵ Shor, P.⁶

38
- 72149122274
- PH-TH-2009/175 (unpublished).
- E. Farhi, J. Goldstone, D. Gosset, S. Gutmann, H. Meyer, and P. Shor, CERN Report No. PH-TH-2009/175 (unpublished).
- Farhi, E.¹ Goldstone, J.² Gosset, D.³ Gutmann, S.⁴ Meyer, H.⁵ Shor, P.⁶

39
- 72149088643
- arXiv:0910.1378.
- A. Young, S. Knysh, and V. Smelyanskiy, e-print arXiv:0910.1378.
- Young, A.¹ Knysh, S.² Smelyanskiy, V.³

40
- 72149089753
- In large scale spin glasses, those localized states may not represent two macroscopically distinct phases. Nevertheless, we continue using the phrase "phase transition."
- In large scale spin glasses, those localized states may not represent two macroscopically distinct phases. Nevertheless, we continue using the phrase "phase transition."

41
- 72149096436
- For large scale spin glasses, M is not a good order parameter as it is nearly zero for a large number of states.
- For large scale spin glasses, M is not a good order parameter as it is nearly zero for a large number of states.

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