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Annals of Physics

Volumn 349, Issue , 2014, Pages 117-158

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

(1) Orús, Román a

a JOHANNES GUTENBERG UNIVERSITY (Germany)

Author keywords

Entanglement; MPS; PEPS; Tensor networks

Indexed keywords

EID: 84903709665 PISSN: 00034916 EISSN: 1096035X Source Type: Journal
DOI: 10.1016/j.aop.2014.06.013 Document Type: Review

Times cited : (2564)

References (170)

1
- 78650234788
- Maldecena J.M. Adv. Theor. Math. Phys. 1998, 2:231.
- (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 231
- Maldecena, J.M.¹

2
- 0347811692
- Gubser S.S., Klebanov I.R., Polyakov A.M. Phys. Lett. B 1998, 428:105.
- (1998) Phys. Lett. B , vol.428 , pp. 105
- Gubser, S.S.¹ Klebanov, I.R.² Polyakov, A.M.³

3
- 24944555508
- Witten E. Adv. Theor. Math. Phys. 1998, 2:253.
- (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 253
- Witten, E.¹

4
- 33646453465
- Ryu S., Takayanagi T. Phys. Rev. Lett. 2006, 96:181602.
- (2006) Phys. Rev. Lett. , vol.96 , pp. 181602
- Ryu, S.¹ Takayanagi, T.²

5
- 84866251949
- Swingle B. Phys. Rev. D 2012, 86:065007.
- (2012) Phys. Rev. D , vol.86 , pp. 065007
- Swingle, B.¹

6
- 81755172023
- Evenbly G., Vidal G. J. Stat. Phys. 2011, 145:891-918.
- (2011) J. Stat. Phys. , vol.145 , pp. 891-918
- Evenbly, G.¹ Vidal, G.²

7
- 84903742894
- Molina-Vilaplana J. JHEP05 2013, 024.
- (2013) JHEP05 , pp. 024
- Molina-Vilaplana, J.¹

8
- 0035282206
- Nagamatsu J., Nakagawa N., Muranaka T., Zenitani Y., Akimitsu J. Nature 2001, 410(6824):63-64.
- (2001) Nature , vol.410 , Issue.6824 , pp. 63-64
- Nagamatsu, J.¹ Nakagawa, N.² Muranaka, T.³ Zenitani, Y.⁴ Akimitsu, J.⁵

9
- 18144372623
- Oxford University Press
- Wen X.-G. Quantum Field Theory of Many-Body Systems 2004, Oxford University Press.
- (2004) Quantum Field Theory of Many-Body Systems
- Wen, X.-G.¹

10
- 84967371736
- World-Scientific, H.T. Diep (Ed.)
- Misguich G., Lhuillier C. Frustrated Spin Systems 2005, World-Scientific. H.T. Diep (Ed.).
- (2005) Frustrated Spin Systems
- Misguich, G.¹ Lhuillier, C.²

11
- 1542317587
- Senthil T., Vishwanath A., Balents L., Sachdev S., Fisher M.P.A. Science 2004, 303:1490.
- (2004) Science , vol.303 , pp. 1490
- Senthil, T.¹ Vishwanath, A.² Balents, L.³ Sachdev, S.⁴ Fisher, M.P.A.⁵

12
- 42749106520
- Senthil T., Balents L., Sachdev S., Vishwanath A., Fisher M.P.A. Phys. Rev. B 2004, 70:144407.
- (2004) Phys. Rev. B , vol.70 , pp. 144407
- Senthil, T.¹ Balents, L.² Sachdev, S.³ Vishwanath, A.⁴ Fisher, M.P.A.⁵

13
- 33750441941
- Cambridge University Press
- Altand A., Simons B. Condensed Matter Field Theory 2006, Cambridge University Press, 58 pp.
- (2006) Condensed Matter Field Theory , pp. 58
- Altand, A.¹ Simons, B.²

14
- 75849156359
- Cirac J.I., Verstraete F. J. Phys. A: Math. Theor. 2009, 42:504004.
- (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504004
- Cirac, J.I.¹ Verstraete, F.²

15
- 46849106741
- Verstratete F., Cirac J.I., Murg V. Adv. Phys. 2008, 57:143.
- (2008) Adv. Phys. , vol.57 , pp. 143
- Verstratete, F.¹ Cirac, J.I.² Murg, V.³

16
- 84857809063
- Modern Theories of Many-particle Systems in Condensed Matter Physics
- Augusiak R., Cucchietti F.M., Lewenstein M. Modern Theories of Many-particle Systems in Condensed Matter Physics. Lect. Not. Phys. 2012, vol. 843:245-294.
- (2012) Lect. Not. Phys. , vol.843 , pp. 245-294
- Augusiak, R.¹ Cucchietti, F.M.² Lewenstein, M.³

17
- 3442895828
- White S.R. Phys. Rev. Lett. 1992, 69:2863-2866.
- (1992) Phys. Rev. Lett. , vol.69 , pp. 2863-2866
- White, S.R.¹

18
- 20044389808
- White S.R. Phys. Rev. B 1992, 48:10345.
- (1992) Phys. Rev. B , vol.48 , pp. 10345
- White, S.R.¹

19
- 37649026836
- Porras D., Verstraete F., Cirac J.I. Phys. Rev. Lett. 2004, 93:227205.
- (2004) Phys. Rev. Lett. , vol.93 , pp. 227205
- Porras, D.¹ Verstraete, F.² Cirac, J.I.³

20
- 10244221686
- Daley A.J., Kollath C., Schollwöck U., Vidal G. J. Stat. Mech.: Theor. Exp. 2004, P04005.
- (2004) J. Stat. Mech.: Theor. Exp.
- Daley, A.J.¹ Kollath, C.² Schollwöck, U.³ Vidal, G.⁴

21
- 0242425255
- Vidal G. Phys. Rev. Lett. 2003, 91:147902.
- (2003) Phys. Rev. Lett. , vol.91 , pp. 147902
- Vidal, G.¹

22
- 85088492341
- Vidal G. Phys. Rev. Lett. 2004, 939:040502.
- (2004) Phys. Rev. Lett. , vol.939 , pp. 040502
- Vidal, G.¹

23
- 33846978099
- Vidal G. Phys. Rev. Lett. 2007, 98:070201.
- (2007) Phys. Rev. Lett. , vol.98 , pp. 070201
- Vidal, G.¹

24
- 55349127399
- Orús R., Vidal G. Phys. Rev. B 2008, 78:155117.
- (2008) Phys. Rev. B , vol.78 , pp. 155117
- Orús, R.¹ Vidal, G.²

25
- 67549119232
- Bañuls M.C., Hastings M.B., Verstraete F., Cirac J.I. Phys. Rev. Lett. 2009, 102:240603.
- (2009) Phys. Rev. Lett. , vol.102 , pp. 240603
- Bañuls, M.C.¹ Hastings, M.B.² Verstraete, F.³ Cirac, J.I.⁴

26
- 84903721915
- F. Verstraete, J.I. Cirac. arxiv:cond-mat/0407066.
- Verstraete, F.¹ Cirac, J.I.²

27
- 34548847751
- Levin M., Nave C.P. Phys. Rev. Lett. 2007, 99:120601.
- (2007) Phys. Rev. Lett. , vol.99 , pp. 120601
- Levin, M.¹ Nave, C.P.²

28
- 57249105556
- Gu Z.-Cheng, Levin M., Wen X.-Gang Phys. Rev. B 2008, 78:205116.
- (2008) Phys. Rev. B , vol.78 , pp. 205116
- Gu, Z.-C.¹ Levin, M.² Wen, X.-G.³

29
- 0035532595
- Nishino T., Hieida Y., Okunishi K., Maeshima N., Akutsu Y., Gendiar A. Prog. Theor. Phys. 2001, 105(3):409-417.
- (2001) Prog. Theor. Phys. , vol.105 , Issue.3 , pp. 409-417
- Nishino, T.¹ Hieida, Y.² Okunishi, K.³ Maeshima, N.⁴ Akutsu, Y.⁵ Gendiar, A.⁶

30
- 35348894414
- Anders S., Briegel H.J., Dür W. New J. Phys. 2007, 9:361.
- (2007) New J. Phys. , vol.9 , pp. 361
- Anders, S.¹ Briegel, H.J.² Dür, W.³

31
- 36549074539
- Vidal G. Phys. Rev. Lett. 2007, 99:220405.
- (2007) Phys. Rev. Lett. , vol.99 , pp. 220405
- Vidal, G.¹

32
- 85055822317
- For an introduction, see e.g.:, Taylor & Francis, Boca Raton, L.D. Carr (Ed.)
- Vidal G. Understanding Quantum Phase Transitions 2010, For an introduction, see e.g.:, Taylor & Francis, Boca Raton. arxiv:0912.1651v2, L.D. Carr (Ed.).
- (2010) Understanding Quantum Phase Transitions
- Vidal, G.¹

33
- 84903719696
- G. Evenbly, G. Vidal. arxiv:1210.1895.
- Evenbly, G.¹ Vidal, G.²

34
- 38849113308
- Schuch N., Wolf M.M., Verstraete F., Cirac J.I. Phys. Rev. Lett. 2008, 100:040501.
- (2008) Phys. Rev. Lett. , vol.100 , pp. 040501
- Schuch, N.¹ Wolf, M.M.² Verstraete, F.³ Cirac, J.I.⁴

35
- 70349431288
- Mezzacapo F., Schuch N., Boninsegni M., Cirac J.I. New J. Phys. 2009, 11:083026.
- (2009) New J. Phys. , vol.11 , pp. 083026
- Mezzacapo, F.¹ Schuch, N.² Boninsegni, M.³ Cirac, J.I.⁴

36
- 36649005167
- Sandvik A.W., Vidal G. Phys. Rev. Lett. 2007, 99:220602.
- (2007) Phys. Rev. Lett. , vol.99 , pp. 220602
- Sandvik, A.W.¹ Vidal, G.²

37
- 33747637170
- Shi Y., L Duan, G Vidal Phys. Rev. A 2006, 74:022320.
- (2006) Phys. Rev. A , vol.74 , pp. 022320
- Shi, Y.¹ Duan, L.²

38
- 74949140295
- Tagliacozzo L., Evenbly G., Vidal G. Phys. Rev. B 2009, 80:235127.
- (2009) Phys. Rev. B , vol.80 , pp. 235127
- Tagliacozzo, L.¹ Evenbly, G.² Vidal, G.³

39
- 77954179664
- Silvi P., Giovannetti V., Montangero S., Rizzi M., Cirac J.I., Fazio R. Phys. Rev. A 2010, 81:062335.
- (2010) Phys. Rev. A , vol.81 , pp. 062335
- Silvi, P.¹ Giovannetti, V.² Montangero, S.³ Rizzi, M.⁴ Cirac, J.I.⁵ Fazio, R.⁶

40
- 78649754542
- Murg V., Legeza Ö., Noack R.M., Verstraete F. Phys. Rev. B 2010, 82:205105.
- (2010) Phys. Rev. B , vol.82 , pp. 205105
- Murg, V.¹ Legeza, Ö.² Noack, R.M.³ Verstraete, F.⁴

41
- 77952403236
- Verstraete F., Cirac J.I. Phys. Rev. Lett. 2010, 104:190405.
- (2010) Phys. Rev. Lett. , vol.104 , pp. 190405
- Verstraete, F.¹ Cirac, J.I.²

42
- 78650507684
- Haegeman J., Cirac J.I., Osborne T.J., Verschelde H., Verstraete F. Phys. Rev. Lett. 2010, 105:251601.
- (2010) Phys. Rev. Lett. , vol.105 , pp. 251601
- Haegeman, J.¹ Cirac, J.I.² Osborne, T.J.³ Verschelde, H.⁴ Verstraete, F.⁵

43
- 84874597572
- Haegeman J., Osborne T.J., Verschelde H., Verstraete F. Phys. Rev. Lett. 2013, 110:100402.
- (2013) Phys. Rev. Lett. , vol.110 , pp. 100402
- Haegeman, J.¹ Osborne, T.J.² Verschelde, H.³ Verstraete, F.⁴

44
- 84903733584
- C. Brockt, J. Haegeman, D. Jennings, T.J. Osborne, F. Verstraete. arxiv:1210.5401.
- Brockt, C.¹ Haegeman, J.² Jennings, D.³ Osborne, T.J.⁴ Verstraete, F.⁵

45
- 84903737146
- J. Haegeman, J.I. Cirac, T.J. Osborne, F. Verstraete. arxiv:1211.3935.
- Haegeman, J.¹ Cirac, J.I.² Osborne, T.J.³ Verstraete, F.⁴

46
- 84903723980
- D. Jennings, J. Haegeman, T.J. Osborne, F. Verstraete. arxiv:1212.3833.
- Jennings, D.¹ Haegeman, J.² Osborne, T.J.³ Verstraete, F.⁴

47
- 80051643494
- Haegeman J., Cirac J.I., Osborne T.J., Pizorn I., Verschelde H., Verstraete F. Phys. Rev. Lett. 2011, 107:070601.
- (2011) Phys. Rev. Lett. , vol.107 , pp. 070601
- Haegeman, J.¹ Cirac, J.I.² Osborne, T.J.³ Pizorn, I.⁴ Verschelde, H.⁵ Verstraete, F.⁶

48
- 70349902952
- Xie Z.Y., Jiang H.C., Chen Q.N., Weng Z.Y., Xiang T. Phys. Rev. Lett. 2009, 103:160601.
- (2009) Phys. Rev. Lett. , vol.103 , pp. 160601
- Xie, Z.Y.¹ Jiang, H.C.² Chen, Q.N.³ Weng, Z.Y.⁴ Xiang, T.⁵

49
- 77955438307
- Zhao H.H., Xie Z.Y., Chen Q.N., Wei Z.C., Cai J.W., Xiang T. Phys. Rev. B 2010, 81:174411.
- (2010) Phys. Rev. B , vol.81 , pp. 174411
- Zhao, H.H.¹ Xie, Z.Y.² Chen, Q.N.³ Wei, Z.C.⁴ Cai, J.W.⁵ Xiang, T.⁶

50
- 84864585916
- Xie Z.Y., Chen J., Qin M.P., Zhu J.W., Yang L.P., Xiang T. Phys. Rev. B 2012, 86:045139.
- (2012) Phys. Rev. B , vol.86 , pp. 045139
- Xie, Z.Y.¹ Chen, J.² Qin, M.P.³ Zhu, J.W.⁴ Yang, L.P.⁵ Xiang, T.⁶

51
- 84903712512
- I.P. McCulloch. arxiv:0804.2509.
- McCulloch, I.P.¹

52
- 47749112901
- Crosswhite G.M., Doherty A.C., Vidal G. Phys. Rev. B 2008, 78:035116.
- (2008) Phys. Rev. B , vol.78 , pp. 035116
- Crosswhite, G.M.¹ Doherty, A.C.² Vidal, G.³

53
- 58149204392
- Jordan J., Orús R., Vidal G., Verstraete F., Cirac J.I. Phys. Rev. Lett. 2008, 101:250602.
- (2008) Phys. Rev. Lett. , vol.101 , pp. 250602
- Jordan, J.¹ Orús, R.² Vidal, G.³ Verstraete, F.⁴ Cirac, J.I.⁵

54
- 70349976288
- Orús R., Vidal G. Phys. Rev. B 2009, 80:094403.
- (2009) Phys. Rev. B , vol.80 , pp. 094403
- Orús, R.¹ Vidal, G.²

55
- 0035395008
- Maeshima N., Hieida Y., Akutsu Y., Nishino T., Okunishi K. Phys. Rev. E 2001, 64:016705.
- (2001) Phys. Rev. E , vol.64 , pp. 016705
- Maeshima, N.¹ Hieida, Y.² Akutsu, Y.³ Nishino, T.⁴ Okunishi, K.⁵

56
- 84903730258
- Y. Nishio, N. Maeshima, A. Gendiar, T. Nishino. arxiv:cond-mat/0401115.
- Nishio, Y.¹ Maeshima, N.² Gendiar, A.³ Nishino, T.⁴

57
- 77954884613
- 081103(R)
- Pippan P., White S.R., Evertz H.G. Phys. Rev. B 2010, 81:081103(R).
- (2010) Phys. Rev. B , vol.81
- Pippan, P.¹ White, S.R.² Evertz, H.G.³

58
- 79961065197
- Pirvu B., Verstraete F., Vidal G. Phys. Rev. B 2011, 83:125104.
- (2011) Phys. Rev. B , vol.83 , pp. 125104
- Pirvu, B.¹ Verstraete, F.² Vidal, G.³

59
- 0036340340
- McCulloch I., Gulacsi M. Europhys. Lett. 2002, 57:852.
- (2002) Europhys. Lett. , vol.57 , pp. 852
- McCulloch, I.¹ Gulacsi, M.²

60
- 77951214738
- Singh S., Zhou H.-Q., Vidal G. New J. Phys. 2010, 12:033029.
- (2010) New J. Phys. , vol.12 , pp. 033029
- Singh, S.¹ Zhou, H.-Q.² Vidal, G.³

61
- 78649568302
- Singh S., Pfeifer R.N.C., Vidal G. Phys. Rev. A 2010, 82:050301.
- (2010) Phys. Rev. A , vol.82 , pp. 050301
- Singh, S.¹ Pfeifer, R.N.C.² Vidal, G.³

62
- 79961062857
- Singh S., Pfeifer R.N.C., Vidal G. Phys. Rev. B 2011, 83:115125.
- (2011) Phys. Rev. B , vol.83 , pp. 115125
- Singh, S.¹ Pfeifer, R.N.C.² Vidal, G.³

63
- 79961069887
- Bauer B., Corboz P., Orús R., Troyer M. Phys. Rev. B 2011, 83:125106.
- (2011) Phys. Rev. B , vol.83 , pp. 125106
- Bauer, B.¹ Corboz, P.² Orús, R.³ Troyer, M.⁴

64
- 42449155932
- Pérez-García D., Wolf M.M., Sanz M., Verstraete F., Cirac J.I. Phys. Rev. Lett. 2008, 100:167202.
- (2008) Phys. Rev. Lett. , vol.100 , pp. 167202
- Pérez-García, D.¹ Wolf, M.M.² Sanz, M.³ Verstraete, F.⁴ Cirac, J.I.⁵

65
- 64649102065
- Sanz M., Wolf M.M., Pérez-García D., Cirac J.I. Phys. Rev. A 2009, 79:042308.
- (2009) Phys. Rev. A , vol.79 , pp. 042308
- Sanz, M.¹ Wolf, M.M.² Pérez-García, D.³ Cirac, J.I.⁴

66
- 77956393216
- Schuch N., Cirac I., Pérez-García D. Ann. Phys. 2010, 325:2153.
- (2010) Ann. Phys. , vol.325 , pp. 2153
- Schuch, N.¹ Cirac, I.² Pérez-García, D.³

67
- 80455177288
- Schuch N., Cirac I., Pérez-García D. Phys. Rev. B 2011, 84:165139.
- (2011) Phys. Rev. B , vol.84 , pp. 165139
- Schuch, N.¹ Cirac, I.² Pérez-García, D.³

68
- 84868504359
- Weichselbaum A. Ann. Phys. 2012, 327:2972-3047.
- (2012) Ann. Phys. , vol.327 , pp. 2972-3047
- Weichselbaum, A.¹

69
- 33947217528
- Murg V., Verstraete F., Cirac J.I. Phys. Rev. A 2007, 75:033605.
- (2007) Phys. Rev. A , vol.75 , pp. 033605
- Murg, V.¹ Verstraete, F.² Cirac, J.I.³

70
- 66749110522
- Jordan J., Orús R., Vidal G. Phys. Rev. B 2009, 79:174515.
- (2009) Phys. Rev. B , vol.79 , pp. 174515
- Jordan, J.¹ Orús, R.² Vidal, G.³

71
- 74949101600
- 010303(R)
- Corboz P., Evenbly G., Verstraete F., Vidal G. Phys. Rev. A 2010, 81:010303(R).
- (2010) Phys. Rev. A , vol.81
- Corboz, P.¹ Evenbly, G.² Verstraete, F.³ Vidal, G.⁴

72
- 77953178016
- Kraus C.V., Schuch N., Verstraete F., Vidal G. Phys. Rev. A 2010, 81:052338.
- (2010) Phys. Rev. A , vol.81 , pp. 052338
- Kraus, C.V.¹ Schuch, N.² Verstraete, F.³ Vidal, G.⁴

73
- 77953214583
- 050303(R)
- Pineda C., Barthel T., Eisert J. Phys. Rev. A 2010, 81:050303(R).
- (2010) Phys. Rev. A , vol.81
- Pineda, C.¹ Barthel, T.² Eisert, J.³

74
- 72649091684
- Corboz P., Vidal G. Phys. Rev. B 2009, 80:165129.
- (2009) Phys. Rev. B , vol.80 , pp. 165129
- Corboz, P.¹ Vidal, G.²

75
- 70350769126
- Barthel T., Pineda C., Eisert J. Phys. Rev. A 2009, 80:042333.
- (2009) Phys. Rev. A , vol.80 , pp. 042333
- Barthel, T.¹ Pineda, C.² Eisert, J.³

76
- 84903742814
- Q.-Q. Shi, S.-Hao Li, J.-Hui Zhao, H.- Qiang Zhou. arxiv:0907.5520.
- Shi, Q.-Q.¹ Li, S.-H.² Zhao, J.-H.³ Zhou, H.-Q.⁴

77
- 79961219096
- Corboz P., White S.R., Vidal G., Troyer M. Phys. Rev. B 2011, 84:041108.
- (2011) Phys. Rev. B , vol.84 , pp. 041108
- Corboz, P.¹ White, S.R.² Vidal, G.³ Troyer, M.⁴

78
- 77955380339
- Corboz P., Orús R., Bauer B., Vidal G. Phys. Rev. B 2010, 81:165104.
- (2010) Phys. Rev. B , vol.81 , pp. 165104
- Corboz, P.¹ Orús, R.² Bauer, B.³ Vidal, G.⁴

79
- 84860543997
- Corboz P., Capponi S., Läuchli A.M., Bauer B., Orús R. Europhys. Lett. 2012, 98:27005.
- (2012) Europhys. Lett. , vol.98 , pp. 27005
- Corboz, P.¹ Capponi, S.² Läuchli, A.M.³ Bauer, B.⁴ Orús, R.⁵

80
- 67649124890
- Murg V., Verstraete F., Cirac J.I. Phys. Rev. B 2009, 79:195119.
- (2009) Phys. Rev. B , vol.79 , pp. 195119
- Murg, V.¹ Verstraete, F.² Cirac, J.I.³

81
- 77952028275
- Evenbly G., Vidal G. Phys. Rev. Lett. 2010, 104:187203.
- (2010) Phys. Rev. Lett. , vol.104 , pp. 187203
- Evenbly, G.¹ Vidal, G.²

82
- 79957945867
- Yan S., Huse D.A., White S.R. Science 2011, 332(6034):1173-1176.
- (2011) Science , vol.332 , Issue.6034 , pp. 1173-1176
- Yan, S.¹ Huse, D.A.² White, S.R.³

83
- 84903689632
- L. Wang, Z.-Cheng Gu, X.-Gang Wen, F. Verstraete. arxiv:1112.3331.
- Wang, L.¹ Gu, Z.-C.² Wen, X.-G.³ Verstraete, F.⁴

84
- 84864616865
- Mezzacapo F. Phys. Rev. B 2012, 86:045115.
- (2012) Phys. Rev. B , vol.86 , pp. 045115
- Mezzacapo, F.¹

85
- 84857720597
- Mezzacapo F., Boninsegni M. Phys. Rev. B 2012, 85:060402.
- (2012) Phys. Rev. B , vol.85 , pp. 060402
- Mezzacapo, F.¹ Boninsegni, M.²

86
- 84864667497
- Depenbrock S., McCulloch I.P., Schollwöck U. Phys. Rev. Lett. 2012, 109:067201.
- (2012) Phys. Rev. Lett. , vol.109 , pp. 067201
- Depenbrock, S.¹ McCulloch, I.P.² Schollwöck, U.³

87
- 61349099559
- Orús R., Doherty A., Vidal G. Phys. Rev. Lett. 2009, 102:077203.
- (2009) Phys. Rev. Lett. , vol.102 , pp. 077203
- Orús, R.¹ Doherty, A.² Vidal, G.³

88
- 79952385354
- Dusuel S., Kamfor M., Orús R., Schmidt K.P., Vidal J. Phys. Rev. Lett. 2011, 106:107203.
- (2011) Phys. Rev. Lett. , vol.106 , pp. 107203
- Dusuel, S.¹ Kamfor, M.² Orús, R.³ Schmidt, K.P.⁴ Vidal, J.⁵

89
- 84857560547
- Schulz M.D., Dusuel S., Orús R., Vidal J., Schmidt K.P. New J. Phys. 2012, 14:025005.
- (2012) New J. Phys. , vol.14 , pp. 025005
- Schulz, M.D.¹ Dusuel, S.² Orús, R.³ Vidal, J.⁴ Schmidt, K.P.⁵

90
- 78149309089
- Chen X., Zeng B., Gu Z.-Cheng, Chuang I.L., Wen X.-Gang Phys. Rev. B 2010, 82:165119.
- (2010) Phys. Rev. B , vol.82 , pp. 165119
- Chen, X.¹ Zeng, B.² Gu, Z.-C.³ Chuang, I.L.⁴ Wen, X.-G.⁵

91
- 7044265124
- Legeza O., Solyom J. Phys. Rev. B 2003, 68:195116.
- (2003) Phys. Rev. B , vol.68 , pp. 195116
- Legeza, O.¹ Solyom, J.²

92
- 33646033469
- Rissler J., Noack R.M., White S.R. Chem. Phys. 2006, 323:519-531.
- (2006) Chem. Phys. , vol.323 , pp. 519-531
- Rissler, J.¹ Noack, R.M.² White, S.R.³

93
- 84903718435
- Computational Many-particle Physics
- Legeza O., Noack R.M., Solyom J., Tincani L. Computational Many-particle Physics. Lect. Not. Phys. 2008, vol. 739:655-664.
- (2008) Lect. Not. Phys. , vol.739 , pp. 655-664
- Legeza, O.¹ Noack, R.M.² Solyom, J.³ Tincani, L.⁴

94
- 78651459695
- Barcza G., Legeza O., Marti K.H., Reiher M. Phys. Rev. A 2011, 83:012508.
- (2011) Phys. Rev. A , vol.83 , pp. 012508
- Barcza, G.¹ Legeza, O.² Marti, K.H.³ Reiher, M.⁴

95
- 77958518534
- Marti K.H., Bauer B., Reiher M., Troyer M., Verstraete F. New J. Phys. 2010, 12:103008.
- (2010) New J. Phys. , vol.12 , pp. 103008
- Marti, K.H.¹ Bauer, B.² Reiher, M.³ Troyer, M.⁴ Verstraete, F.⁵

96
- 84876112135
- Nakatani N., Chan G.K.-Lic J. Chem. Phys. 2013, 138:134113.
- (2013) J. Chem. Phys. , vol.138 , pp. 134113
- Nakatani, N.¹ Chan, G.K.-L.²

97
- 0036630407
- Byrnes T.M.R., Sriganesh P., Bursill R.J., Hamer C.J. Phys. Rev. D 2002, 66:013002.
- (2002) Phys. Rev. D , vol.66 , pp. 013002
- Byrnes, T.M.R.¹ Sriganesh, P.² Bursill, R.J.³ Hamer, C.J.⁴

98
- 33947493854
- Sugihara T. J. High Energy Phys. 2005, 07:022.
- (2005) J. High Energy Phys. , vol.7 , pp. 022
- Sugihara, T.¹

99
- 79960282002
- Tagliacozzo L., Vidal G. Phys. Rev. B 2011, 83:115127.
- (2011) Phys. Rev. B , vol.83 , pp. 115127
- Tagliacozzo, L.¹ Vidal, G.²

100
- 84903743525
- M.C. Bañuls, K. Cichy, K. Jansen, J.I. Cirac. arxiv:1305.3765.
- Bañuls, M.C.¹ Cichy, K.² Jansen, K.³ Cirac, J.I.⁴

101
- 84866481150
- Springer
- Hackbusch W. Tensor Spaces and Numerical Tensor Calculus 2012, Springer.
- (2012) Tensor Spaces and Numerical Tensor Calculus
- Hackbusch, W.¹

102
- 0036963916
- Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1
- Society for Industrial and Applied Mathematics
- Cullum J., Willoughby R. Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1. Theory Classics in Applied Mathematics 2002, Society for Industrial and Applied Mathematics.
- (2002) Theory Classics in Applied Mathematics
- Cullum, J.¹ Willoughby, R.²

103
- 84929740025
- Cambridge University Press
- Oitmaa J., Hamer C., Zheng W. Series Expansion Methods for Strongly Interacting Lattice Models 2006, Cambridge University Press.
- (2006) Series Expansion Methods for Strongly Interacting Lattice Models
- Oitmaa, J.¹ Hamer, C.² Zheng, W.³

104
- 4644244245
- Vedral V. New J. Phys. 2004, 6(22):1-25.
- (2004) New J. Phys. , vol.6 , Issue.22 , pp. 1-25
- Vedral, V.¹

105
- 0004108880
- Springer
- Nightingale M.P., Umrigar J.C. Quantum Monte Carlo Methods in Physics and Chemistry 1999, Springer.
- (1999) Quantum Monte Carlo Methods in Physics and Chemistry
- Nightingale, M.P.¹ Umrigar, J.C.²

106
- 84990156926
- Wegner F. Ann. Phys. (Leipzig) 1994, 3:77-91.
- (1994) Ann. Phys. (Leipzig) , vol.3 , pp. 77-91
- Wegner, F.¹

107
- 0031184922
- Stein J. J. of Stat. Phys. 1997, 88:487-511.
- (1997) J. of Stat. Phys. , vol.88 , pp. 487-511
- Stein, J.¹

108
- 0000244391
- Knetter C., Uhrig G.S. Europ. Phys. J. B 2000, 13:209-225.
- (2000) Europ. Phys. J. B , vol.13 , pp. 209-225
- Knetter, C.¹ Uhrig, G.S.²

109
- 0042843417
- Knetter C., Schmidt K.P., Uhrig G.S. J. of Phys. A 2003, 36:7889-7907.
- (2003) J. of Phys. A , vol.36 , pp. 7889-7907
- Knetter, C.¹ Schmidt, K.P.² Uhrig, G.S.³

110
- 0003395607
- John Wiley & Sons, Ltd., Chichester
- Cramer J.C. Essentials of Computational Chemistry 2002, 191-232. John Wiley & Sons, Ltd., Chichester.
- (2002) Essentials of Computational Chemistry , pp. 191-232
- Cramer, J.C.¹

111
- 0003569570
- Oxford University Press, New York
- Parr R.G., Yang W. Density-Functional Theory of Atoms and Molecules 1989, Oxford University Press, New York.
- (1989) Density-Functional Theory of Atoms and Molecules
- Parr, R.G.¹ Yang, W.²

112
- 84903725134
- M. Van Raamsdonk. arxiv:0907.2939.
- Van Raamsdonk, M.¹

113
- 78651294096
- van Raamsdonk M. Gen. Rel. Grav. Int. J. Mod. Phys. D 2010, 19:2429-2435.
- (2010) Gen. Rel. Grav. Int. J. Mod. Phys. D , vol.19 , pp. 2429-2435
- van Raamsdonk, M.¹

114
- 84903743678
- J. Maldacena, L. Susskind. arxiv:1306.0533.
- Maldacena, J.¹ Susskind, L.²

115
- 84903722298
- See e.g.
- See e.g. https://en.wikipedia.org/wiki/Observable_universe.

116
- 0035446315
- Xiang T., Lou J., Su Z. Phys. Rev. B 2001, 64:104414.
- (2001) Phys. Rev. B , vol.64 , pp. 104414
- Xiang, T.¹ Lou, J.² Su, Z.³

117
- 84903691306
- Ö. Legaza, J. Sólyom. arxiv:cond-mat/0305336.
- Legaza, O.¹ Sólyom, J.²

118
- 42749104797
- Legaza Ö., Sólyom J. Phys. Rev. B 2004, 70:205118.
- (2004) Phys. Rev. B , vol.70 , pp. 205118
- Legaza, Ö.¹ Sólyom, J.²

119
- 0038115189
- Vidal G., Latorre J.I., Rico E., Kitaev A. Phys. Rev. Lett. 2003, 90:227902.
- (2003) Phys. Rev. Lett. , vol.90 , pp. 227902
- Vidal, G.¹ Latorre, J.I.² Rico, E.³ Kitaev, A.⁴

120
- 33846149514
- Calabrese P., Cardy J. JSTAT 2004, 0406:P06002.
- (2004) JSTAT , vol.406
- Calabrese, P.¹ Cardy, J.²

121
- 0039768613
- Srednicki M. Phys. Rev. Lett. 1993, 71:666.
- (1993) Phys. Rev. Lett. , vol.71 , pp. 666
- Srednicki, M.¹

122
- 18144421896
- Plenio M., Eisert J., Dreißig J., Cramer M. Phys. Rev. Lett. 2005, 94:060503.
- (2005) Phys. Rev. Lett. , vol.94 , pp. 060503
- Plenio, M.¹ Eisert, J.² Dreißig, J.³ Cramer, M.⁴

123
- 32644460099
- Wolf M.M. Phys. Rev. Lett. 2006, 96:010404.
- (2006) Phys. Rev. Lett. , vol.96 , pp. 010404
- Wolf, M.M.¹

124
- 84903710476
- Fisher M.P.A., Motrunich O.I., Sheng D.N. Proc. 24th Solvay Conf 2008.
- (2008) Proc. 24th Solvay Conf
- Fisher, M.P.A.¹ Motrunich, O.I.² Sheng, D.N.³

125
- 80455177287
- Kallin A.B., Hastings M.B., Melko R.G., Singh R.R.P. Phys. Rev. B 2011, 84:165134.
- (2011) Phys. Rev. B , vol.84 , pp. 165134
- Kallin, A.B.¹ Hastings, M.B.² Melko, R.G.³ Singh, R.R.P.⁴

126
- 33344468870
- Hastings M.B. Phys. Rev. B 2006, 73:085115.
- (2006) Phys. Rev. B , vol.73 , pp. 085115
- Hastings, M.B.¹

127
- 40849096540
- Wolf M.M., Verstraete F., Hastings M.B., Cirac J.I. Phys. Rev. Lett. 2008, 100:070502.
- (2008) Phys. Rev. Lett. , vol.100 , pp. 070502
- Wolf, M.M.¹ Verstraete, F.² Hastings, M.B.³ Cirac, J.I.⁴

128
- 79960692941
- Poulin D., Qarry A., Somma R.D., Verstraete F. Phys. Rev. Lett. 2011, 106:170501.
- (2011) Phys. Rev. Lett. , vol.106 , pp. 170501
- Poulin, D.¹ Qarry, A.² Somma, R.D.³ Verstraete, F.⁴

129
- 84903705013
- See e.g.
- See e.g.https://en.wikipedia.org/wiki/Age_of_the_universe.

130
- 0013261413
- Fannes M., Nachtergaele B., Werner R.F. Commun. Math. Phys. 1992, 144:443-490.
- (1992) Commun. Math. Phys. , vol.144 , pp. 443-490
- Fannes, M.¹ Nachtergaele, B.² Werner, R.F.³

131
- 0000089371
- Klümper A., Schadschneider A., Zittartz J. J. Phys. A 1991, 24:L955.
- (1991) J. Phys. A , vol.24
- Klümper, A.¹ Schadschneider, A.² Zittartz, J.³

132
- 0011737068
- Klümper A., Schadschneider A., Zittartz J. Europhys. Lett. 1993, 24:293.
- (1993) Europhys. Lett. , vol.24 , pp. 293
- Klümper, A.¹ Schadschneider, A.² Zittartz, J.³

133
- 0000977416
- Nishino T., Okunishi K. J. Phys. Soc. Japan 1995, 64:4084-4087.
- (1995) J. Phys. Soc. Japan , vol.64 , pp. 4084-4087
- Nishino, T.¹ Okunishi, K.²

134
- 23844520141
- Schollwöck U. Rev. Modern Phys. 2005, 77:259.
- (2005) Rev. Modern Phys. , vol.77 , pp. 259
- Schollwöck, U.¹

135
- 78650755970
- Schollwöck U. Ann. Phys. 2011, 326:96.
- (2011) Ann. Phys. , vol.326 , pp. 96
- Schollwöck, U.¹

136
- 0001804864
- Kluwer, Dordrecht, M. Kafatos (Ed.)
- Greenberger D.M., Horne M.A., Zeilinger A. Bell's Theorem, Quantum Theory, and Conceptions of the Universe 1989, 69-72. Kluwer, Dordrecht. M. Kafatos (Ed.).
- (1989) Bell's Theorem, Quantum Theory, and Conceptions of the Universe , pp. 69-72
- Greenberger, D.M.¹ Horne, M.A.² Zeilinger, A.³

137
- 0035963060
- Raussendorf R., Briegel H.J. Phys. Rev. Lett. 2001, 86:5188.
- (2001) Phys. Rev. Lett. , vol.86 , pp. 5188
- Raussendorf, R.¹ Briegel, H.J.²

138
- 0009504187
- Affleck A., Kennedy T., Lieb E.H., Tasaki H. Commun. Math. Phys. 1988, 115:477.
- (1988) Commun. Math. Phys. , vol.115 , pp. 477
- Affleck, A.¹ Kennedy, T.² Lieb, E.H.³ Tasaki, H.⁴

139
- 26844535199
- Affleck A., Kennedy T., Lieb E.H., Tasaki H. Phys. Rev. Lett. 1988, 59:799.
- (1988) Phys. Rev. Lett. , vol.59 , pp. 799
- Affleck, A.¹ Kennedy, T.² Lieb, E.H.³ Tasaki, H.⁴

140
- 0004159250
- Majumdar C.K., Ghosh D.K. J. Math. Phys. 1969, 10:1388.
- (1969) J. Math. Phys. , vol.10 , pp. 1388
- Majumdar, C.K.¹ Ghosh, D.K.²

141
- 0030547133
- Nishino T., Okunishi K. J. Phys. Soc. Japan 1996, 65:891-894.
- (1996) J. Phys. Soc. Japan , vol.65 , pp. 891-894
- Nishino, T.¹ Okunishi, K.²

142
- 0031319123
- Nishino T., Okunishi K. J. Phys. Soc. Japan 1997, 66:3040.
- (1997) J. Phys. Soc. Japan , vol.66 , pp. 3040
- Nishino, T.¹ Okunishi, K.²

143
- 84861547981
- Orús R. Phys. Rev. B 2012, 85:205117.
- (2012) Phys. Rev. B , vol.85 , pp. 205117
- Orús, R.¹

144
- 33744788653
- Verstraete F., Wolf M.M., Pérez-García D., Cirac J.I. Phys. Rev. Lett. 2006, 96:220601.
- (2006) Phys. Rev. Lett. , vol.96 , pp. 220601
- Verstraete, F.¹ Wolf, M.M.² Pérez-García, D.³ Cirac, J.I.⁴

145
- 84924581223
- Cambridge University Press
- Sachdev S. Quantum Phase Transitions 2011, Cambridge University Press. second ed.
- (2011) Quantum Phase Transitions
- Sachdev, S.¹

146
- 34147120121
- Schuch N., Wolf M.M., Verstraete F., Cirac J.I. Phys. Rev. Lett. 2007, 98:140506.
- (2007) Phys. Rev. Lett. , vol.98 , pp. 140506
- Schuch, N.¹ Wolf, M.M.² Verstraete, F.³ Cirac, J.I.⁴

147
- 0003897694
- Addison Wesley
- Papadimitrou C.H. Computational Complexity 1993, Addison Wesley.
- (1993) Computational Complexity
- Papadimitrou, C.H.¹

148
- 46949084674
- Li H., Haldane F.D.M Phys. Rev. Lett. 2008, 101:010504.
- (2008) Phys. Rev. Lett. , vol.101 , pp. 010504
- Li, H.¹ Haldane, F.D.M.²

149
- 79961226393
- Cirac J.I., Poilblanc D., Schuch N., Verstraete F. Phys. Rev. B 2011, 83:245134.
- (2011) Phys. Rev. B , vol.83 , pp. 245134
- Cirac, J.I.¹ Poilblanc, D.² Schuch, N.³ Verstraete, F.⁴

150
- 50849087740
- Jiang H.C., Weng Z.Y., Xiang T. Phys. Rev. Lett. 2008, 101:090603.
- (2008) Phys. Rev. Lett. , vol.101 , pp. 090603
- Jiang, H.C.¹ Weng, Z.Y.² Xiang, T.³

151
- 84865277277
- Kalis H., Klagges D., Orús R., Schmidt K.P. Phys. Rev. A 2012, 86:022317.
- (2012) Phys. Rev. A , vol.86 , pp. 022317
- Kalis, H.¹ Klagges, D.² Orús, R.³ Schmidt, K.P.⁴

152
- 84879143436
- Orús R., Kalis H., Bornemann M., Schmidt K.P. Phys. Rev. A 2013, 87:062312.
- (2013) Phys. Rev. A , vol.87 , pp. 062312
- Orús, R.¹ Kalis, H.² Bornemann, M.³ Schmidt, K.P.⁴

153
- 0037268624
- Kitaev A.Y. Ann. Phys. 2003, 303:2.
- (2003) Ann. Phys. , vol.303 , pp. 2
- Kitaev, A.Y.¹

154
- 34247120112
- Kogut J.B. Rev. Modern Phys. 1979, 51:659-713.
- (1979) Rev. Modern Phys. , vol.51 , pp. 659-713
- Kogut, J.B.¹

155
- 0023646228
- Anderson P.W. Science 1987, 235:1196-1198.
- (1987) Science , vol.235 , pp. 1196-1198
- Anderson, P.W.¹

156
- 79951601920
- Wei T.-Chieh, Affleck I., Raussendorf R. Phys. Rev. Lett. 2011, 106:070501.
- (2011) Phys. Rev. Lett. , vol.106 , pp. 070501
- Wei, T.-C.¹ Affleck, I.² Raussendorf, R.³

157
- 33748523709
- Baxter R.J. Physica A 1981, 106:18-27.
- (1981) Physica A , vol.106 , pp. 18-27
- Baxter, R.J.¹

158
- 0002265756
- Academic Press, London
- Baxter R.J. Exactly Solved Models in Statistical Mechanics 1982, Academic Press, London.
- (1982) Exactly Solved Models in Statistical Mechanics
- Baxter, R.J.¹

159
- 0000222002
- Baxter R.J. J. Math. Phys. 1968, 9:650.
- (1968) J. Math. Phys. , vol.9 , pp. 650
- Baxter, R.J.¹

160
- 33744713096
- Baxter R.J. J. Stat. Phys. 1978, 19:461.
- (1978) J. Stat. Phys. , vol.19 , pp. 461
- Baxter, R.J.¹

161
- 0000162933
- Suzuki M. Prog. Theor. Phys. 1976, 56:1454.
- (1976) Prog. Theor. Phys. , vol.56 , pp. 1454
- Suzuki, M.¹

162
- 84870463523
- Li W., von Delft J., Xiang T. Phys. Rev. B 2012, 86:195137.
- (2012) Phys. Rev. B , vol.86 , pp. 195137
- Li, W.¹ von Delft, J.² Xiang, T.³

163
- 79961068112
- Pizorn I., Wang L., Verstraete F. Phys. Rev. A 2011, 83:052321.
- (2011) Phys. Rev. A , vol.83 , pp. 052321
- Pizorn, I.¹ Wang, L.² Verstraete, F.³

164
- 0001617794
- Bursill R.J., Xiang T., Gehring G.A. J. Phys.: Condens Mater 1996, 8:L583-L590.
- (1996) J. Phys.: Condens Mater , vol.8
- Bursill, R.J.¹ Xiang, T.² Gehring, G.A.³

165
- 0000103637
- Wang X., Xiang T. Phys. Rev. B 1997, 56:5061.
- (1997) Phys. Rev. B , vol.56 , pp. 5061
- Wang, X.¹ Xiang, T.²

166
- 3042691802
- Shibata N. J. Phys. Soc. Japan 1997, 66:2221.
- (1997) J. Phys. Soc. Japan , vol.66 , pp. 2221
- Shibata, N.¹

167
- 19744365684
- Zwolak M., Vidal G. Phys. Rev. Lett. 2004, 93:207205.
- (2004) Phys. Rev. Lett. , vol.93 , pp. 207205
- Zwolak, M.¹ Vidal, G.²

168
- 19744374448
- Verstraete F., Garcia-Ripoll J.J., Cirac J.I. Phys. Rev. Lett. 2004, 93:207204.
- (2004) Phys. Rev. Lett. , vol.93 , pp. 207204
- Verstraete, F.¹ Garcia-Ripoll, J.J.² Cirac, J.I.³

169
- 84871046914
- Czarnik P., Cincio L., Dziarmaga J. Phys. Rev. B 2012, 86:245101.
- (2012) Phys. Rev. B , vol.86 , pp. 245101
- Czarnik, P.¹ Cincio, L.² Dziarmaga, J.³

170
- 84871810184
- Fernández-González C., Schuch N., Wolf M.M., Cirac J.I., Pérez-García D. Phys. Rev. Lett. 2012, 109:260401.
- (2012) Phys. Rev. Lett. , vol.109 , pp. 260401
- Fernández-González, C.¹ Schuch, N.² Wolf, M.M.³ Cirac, J.I.⁴ Pérez-García, D.⁵

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