-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathmain.bib
2447 lines (2240 loc) · 76.9 KB
/
main.bib
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
@article{zeng2023bulk,
title = {Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields},
author = {Zeng, Xiangdong and Hung, Ling-Yan},
journal = {Entropy},
volume = {25},
number = {11},
pages = {1543},
year = {2023},
doi = {10.3390/e25111543},
eprint = {2309.03178},
}
@article{kong2023categorical,
title = {Categorical Computation},
author = {Kong, Liang and Zheng, Hao},
journal = {Frontiers of Physics},
volume = {18},
number = {2},
pages = {21302},
year = {2023},
publisher = {Springer},
doi = {10.1007/s11467-022-1251-5},
eprint = {2102.04814},
}
@article{ganahl2023density,
title = {Density Matrix Renormalization Group with Tensor Processing Units},
author = {Ganahl, Martin and Beall, Jackson and Hauru, Markus and Lewis, Adam GM and Wojno, Tomasz and Yoo, Jae Hyeon and Zou, Yijian and Vidal, Guifre},
journal = {PRX Quantum},
volume = {4},
number = {1},
pages = {010317},
year = {2023},
publisher = {APS},
doi = {10.1103/PRXQuantum.4.010317},
eprint = {2204.05693},
}
@article{lootens2023dualities,
title = {Dualities in One-dimensional Quantum Lattice Models: Symmetric Hamiltonians and Matrix Product Operator Intertwiners},
author = {Lootens, Laurens and Delcamp, Clement and Ortiz, Gerardo and Verstraete, Frank},
journal = {PRX Quantum},
volume = {4},
number = {2},
pages = {020357},
year = {2023},
publisher = {APS},
doi = {10.1103/PRXQuantum.4.020357},
eprint = {2112.09091},
}
@article{liu2023tensor,
title = {Tensor Networks for Unsupervised Machine Learning},
author = {Liu, Jing and Li, Sujie and Zhang, Jiang and Zhang, Pan},
journal = {Physical Review E},
volume = {107},
number = {1},
pages = {L012103},
year = {2023},
publisher = {APS},
doi = {10.1103/PhysRevE.107.L012103},
eprint = {2106.12974},
}
@article{fuchs2023tetrahedral,
title = {Tetrahedral Symmetry of {$6j$}-symbols in Fusion Categories},
author = {Fuchs, J{\"u}rgen and Gr{\o}sfjeld, Tobias},
journal = {Journal of Pure and Applied Algebra},
volume = {227},
number = {1},
pages = {107112},
year = {2023},
publisher = {Elsevier},
doi = {10.1016/j.jpaa.2022.107112},
eprint = {2106.16186},
}
@article{zeng2023virasoro,
title = {Virasoro Generators in the Fibonacci Model Tensor Network: Tackling Finite-size Effects},
author = {Zeng, Xiangdong and Wang, Ruoshui and Shen, Ce and Hung, Ling-Yan},
journal = {Physical Review B},
volume = {107},
number = {24},
pages = {245146},
year = {2023},
publisher = {APS},
doi = {10.1103/PhysRevB.107.245146},
eprint = {2212.02937},
}
@article{evenbly2022practical,
title = {A Practical Guide to the Numerical Implementation of Tensor Networks I: Contractions, Decompositions, and Gauge Freedom},
author = {Evenbly, Glen},
journal = {Frontiers in Applied Mathematics and Statistics},
volume = {8},
pages = {806549},
year = {2022},
publisher = {Frontiers},
doi = {10.3389/fams.2022.806549},
eprint = {2202.02138},
}
@article{hongler2022conformal,
title = {Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure},
author = {Hongler, Cl{\'e}ment and Kyt{\"o}l{\"a}, Kalle and Viklund, Fredrik},
journal = {Communications in Mathematical Physics},
volume = {395},
number = {1},
pages = {1--58},
year = {2022},
publisher = {Springer},
doi = {10.1007/s00220-022-04475-x},
eprint = {1307.4104},
}
@article{vanhove2022critical,
title = {Critical Lattice Model for a Haagerup Conformal Field Theory},
author = {Vanhove, Robijn and Lootens, Laurens and Van Damme, Maarten and Wolf, Ramona and Osborne, Tobias J and Haegeman, Jutho and Verstraete, Frank},
journal = {Physical Review Letters},
volume = {128},
number = {23},
pages = {231602},
year = {2022},
publisher = {APS},
doi = {10.1103/PhysRevLett.128.231602},
eprint = {2110.03532},
}
@article{geng2022differentiable,
title = {Differentiable Programming of Isometric Tensor Networks},
author = {Geng, Chenhua and Hu, Hong-Ye and Zou, Yijian},
journal = {Machine Learning: Science and Technology},
volume = {3},
number = {1},
pages = {015020},
year = {2022},
publisher = {IOP Publishing},
doi = {10.1088/2632-2153/ac48a2},
eprint = {2110.03898},
}
@article{wang2022emergence,
title = {Emergence of Kac--Moody Symmetry in Critical Quantum Spin Chains},
author = {Wang, Ruoshui and Zou, Yijian and Vidal, Guifre},
journal = {Physical Review B},
volume = {106},
number = {11},
pages = {115111},
year = {2022},
publisher = {APS},
doi = {10.1103/PhysRevB.106.115111},
eprint = {2206.01656},
}
@article{chen2022galois,
title = {Galois Conjugates of String-net Model},
author = {Chen, Chao-Yi and Lao, Bing-Xin and Yu, Xin-Yang and Hung, Ling-Yan},
journal = {Physical Review D},
volume = {105},
number = {6},
pages = {065009},
year = {2022},
publisher = {APS},
doi = {10.1103/PhysRevD.105.065009},
eprint = {2108.05730},
}
@article{huang2022numerical,
title = {Numerical Evidence for a Haagerup Conformal Field Theory},
author = {Huang, Tzu-Chen and Lin, Ying-Hsuan and Ohmori, Kantaro and Tachikawa, Yuji and Tezuka, Masaki},
journal = {Physical Review Letters},
volume = {128},
number = {23},
pages = {231603},
year = {2022},
publisher = {APS},
doi = {10.1103/PhysRevLett.128.231603},
eprint = {2110.03008},
}
@article{johnson2022classification,
title = {On the Classification of Topological Orders},
author = {Johnson-Freyd, Theo},
journal = {Communications in Mathematical Physics},
volume = {393},
number = {2},
pages = {989--1033},
year = {2022},
publisher = {Springer},
doi = {10.1007/s00220-022-04380-3},
eprint = {2003.06663},
}
@article{fishman2022itensor,
title = {The ITensor Software Library for Tensor Network Calculations},
author = {Fishman, Matthew and White, Steven and Stoudenmire, Edwin},
journal = {SciPost Physics Codebases},
pages = {4},
year = {2022},
publisher = {SciPost},
doi = {10.21468/SciPostPhysCodeb.4},
eprint = {2007.14822},
}
@article{vanhove2022topological,
title = {Topological Aspects of the Critical Three-state Potts Model},
author = {Vanhove, Robijn and Lootens, Laurens and Tu, Hong-Hao and Verstraete, Frank},
journal = {Journal of Physics A: Mathematical and Theoretical},
volume = {55},
number = {23},
pages = {235002},
year = {2022},
publisher = {IOP Publishing},
doi = {10.1088/1751-8121/ac68b1},
eprint = {2107.11177},
}
@article{wang2022virasoro,
title = {Virasoro and Kac--Moody Algebra in Generic Tensor Network Representations of Two-dimensional Critical Lattice Partition Functions},
author = {Wang, Ruoshui and Zeng, Xiangdong and Shen, Ce and Hung, Ling-Yan},
journal = {Physical Review B},
volume = {106},
number = {11},
pages = {115116},
year = {2022},
publisher = {APS},
doi = {10.1103/PhysRevB.106.115116},
eprint = {2205.04500},
}
@article{lou2021dummy,
title = {A (Dummy's) Guide to Working with Gapped Boundaries via (Fermion) Condensation},
author = {Lou, Jiaqi and Shen, Ce and Chen, Chaoyi and Hung, Ling-Yan},
journal = {Journal of High Energy Physics},
volume = {2021},
number = {2},
pages = {1--78},
year = {2021},
publisher = {Springer},
doi = {10.1007/JHEP02(2021)171},
eprint = {2007.10562},
}
@article{chen2021bending1,
title = {Bending the Bruhat--Tits Tree. Part I. Tensor Network and Emergent Einstein Equations},
author = {Chen, Lin and Liu, Xirong and Hung, Ling-Yan},
journal = {Journal of High Energy Physics},
volume = {2021},
number = {6},
pages = {1--32},
year = {2021},
publisher = {Springer},
doi = {10.1007/JHEP06(2021)094},
eprint = {2102.12024},
}
@article{chen2021bending2,
title = {Bending the Bruhat--Tits Tree. Part II. The {$p$}-adic BTZ Black Hole and Local Diffeomorphism on the Bruhat--Tits Tree},
author = {Chen, Lin and Liu, Xirong and Hung, Ling-Yan},
journal = {Journal of High Energy Physics},
volume = {2021},
number = {9},
pages = {1--32},
year = {2021},
publisher = {Springer},
doi = {10.1007/JHEP09(2021)097},
eprint = {2102.12023},
}
@article{wu2021categorical,
title = {Categorical Symmetries at Criticality},
author = {Wu, Xiao-Chuan and Ji, Wenjie and Xu, Cenke},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
volume = {2021},
number = {7},
pages = {073101},
year = {2021},
publisher = {IOP Publishing},
doi = {10.1088/1742-5468/ac08fe},
eprint = {2012.03976},
}
@article{sahinoglu2021characterizing,
title = {Characterizing Topological Order with Matrix Product Operators},
author = {{\c{S}}ahino{\u{g}}lu, Mehmet Burak and Williamson, Dominic and Bultinck, Nick and Mari{\"e}n, Michael and Haegeman, Jutho and Schuch, Norbert and Verstraete, Frank},
journal = {Annales Henri Poincar{\'e}},
volume = {22},
pages = {563--592},
year = {2021},
publisher = {Springer},
doi = {10.1007/s00023-020-00992-4},
eprint = {1409.2150},
}
@article{van2021efficient,
title = {Efficient Matrix Product State Methods for Extracting Spectral Information on Rings and Cylinders},
author = {Van Damme, Maarten and Vanhove, Robijn and Haegeman, Jutho and Verstraete, Frank and Vanderstraeten, Laurens},
journal = {Physical Review B},
volume = {104},
number = {11},
pages = {115142},
year = {2021},
publisher = {APS},
doi = {10.1103/PhysRevB.104.115142},
eprint = {2102.10982},
}
@article{chen2021emergent,
title = {Emergent Einstein Equation in {$p$}-adic Conformal Field Theory Tensor Networks},
author = {Chen, Lin and Liu, Xirong and Hung, Ling-Yan},
journal = {Physical Review Letters},
volume = {127},
number = {22},
pages = {221602},
year = {2021},
publisher = {APS},
doi = {10.1103/PhysRevLett.127.221602},
eprint = {2102.12022},
}
@article{lootens2021matrix,
title = {Matrix Product Operator Symmetries and Intertwiners in String-nets with Domain Walls},
author = {Lootens, Laurens and Fuchs, J{\"u}rgen and Haegeman, Jutho and Schweigert, Christoph and Verstraete, Frank},
journal = {SciPost Physics},
volume = {10},
number = {3},
pages = {053},
year = {2021},
publisher = {SciPost},
doi = {10.21468/SciPostPhys.10.3.053},
eprint = {2008.11187},
}
@article{cirac2021matrix,
title = {Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, Theorems},
author = {Cirac, J Ignacio and Perez-Garcia, David and Schuch, Norbert and Verstraete, Frank},
journal = {Reviews of Modern Physics},
volume = {93},
number = {4},
pages = {045003},
year = {2021},
publisher = {APS},
doi = {10.1103/RevModPhys.93.045003},
eprint = {2011.12127},
}
@article{delcamp2021tensor,
title = {On Tensor Network Representations of the (3+1)d Toric Code},
author = {Delcamp, Clement and Schuch, Norbert},
journal = {Quantum},
volume = {5},
pages = {604},
year = {2021},
publisher = {Verein zur F{\"o}rderung des Open Access Publizierens in den Quantenwissenschaften},
doi = {10.22331/q-2021-12-16-604},
eprint = {2012.15631},
}
@article{yuan2021quantum,
title = {Quantum Simulation with Hybrid Tensor Networks},
author = {Yuan, Xiao and Sun, Jinzhao and Liu, Junyu and Zhao, Qi and Zhou, You},
journal = {Physical Review Letters},
volume = {127},
number = {4},
pages = {040501},
year = {2021},
publisher = {APS},
doi = {10.1103/PhysRevLett.127.040501},
eprint = {2007.00958},
}
@article{kong2020algebraic,
title = {Algebraic Higher Symmetry and Categorical Symmetry: A Holographic and Entanglement View of Symmetry},
author = {Kong, Liang and Lan, Tian and Wen, Xiao-Gang and Zhang, Zhi-Hao and Zheng, Hao},
journal = {Physical Review Research},
volume = {2},
number = {4},
pages = {043086},
year = {2020},
publisher = {APS},
doi = {10.1103/PhysRevResearch.2.043086},
eprint = {2005.14178},
}
@article{harris2020array,
title = {Array Programming with NumPy},
author = {Harris, Charles R and Millman, K Jarrod and Van Der Walt, St{\'e}fan J and Gommers, Ralf and Virtanen, Pauli and Cournapeau, David and Wieser, Eric and Taylor, Julian and Berg, Sebastian and Smith, Nathaniel J and others},
journal = {Nature},
volume = {585},
pages = {357--362},
year = {2020},
publisher = {Nature Publishing Group},
doi = {10.1038/s41586-020-2649-2},
}
@article{ji2020categorical,
title = {Categorical Symmetry and Noninvertible Anomaly in Symmetry-breaking and Topological Phase Transitions},
author = {Ji, Wenjie and Wen, Xiao-Gang},
journal = {Physical Review Research},
volume = {2},
number = {3},
pages = {033417},
year = {2020},
publisher = {APS},
doi = {10.1103/PhysRevResearch.2.033417},
eprint = {1912.13492},
}
@article{kong2020classification,
title = {Classification of Topological Phases with Finite Internal Symmetries in All Dimensions},
author = {Kong, Liang and Lan, Tian and Wen, Xiao-Gang and Zhang, Zhi-Hao and Zheng, Hao},
journal = {Journal of High Energy Physics},
volume = {2020},
number = {9},
pages = {1--49},
year = {2020},
publisher = {Springer},
doi = {10.1007/JHEP09(2020)093},
eprint = {2003.08898},
}
@article{lootens2020galois,
title = {Galois Conjugated Tensor Fusion Categories and Nonunitary Conformal Field Theory},
author = {Lootens, Laurens and Vanhove, Robijn and Haegeman, Jutho and Verstraete, Frank},
journal = {Physical Review Letters},
volume = {124},
number = {12},
pages = {120601},
year = {2020},
publisher = {APS},
doi = {10.1103/PhysRevLett.124.120601},
eprint = {1902.11241},
}
@article{virtanen2020scipy,
title = {SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python},
author = {Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E and Haberland, Matt and Reddy, Tyler and Cournapeau, David and Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and Bright, Jonathan and others},
journal = {Nature Methods},
volume = {17},
number = {3},
pages = {261--272},
year = {2020},
publisher = {Nature Publishing Group},
doi = {10.1038/s41592-019-0686-2},
}
@article{liu2019dimensional,
title = {{$d$}-dimensional SYK, AdS Loops, and {$6j$} Symbols},
author = {Liu, Junyu and Perlmutter, Eric and Rosenhaus, Vladimir and Simmons-Duffin, David},
journal = {Journal of High Energy Physics},
volume = {2019},
number = {3},
pages = {1--57},
year = {2019},
publisher = {Springer},
doi = {10.1007/JHEP03(2019)052},
eprint = {1808.00612},
}
@article{hung2019padic,
title = {{$p$}-adic CFT is a Holographic Tensor Network},
author = {Hung, Ling-Yan and Li, Wei and Melby-Thompson, Charles M},
journal = {Journal of High Energy Physics},
volume = {2019},
number = {4},
pages = {1--39},
year = {2019},
publisher = {Springer},
doi = {10.1007/JHEP04(2019)170},
eprint = {1902.01411},
}
@article{bao2019beyond,
title = {Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT},
author = {Bao, Ning and Penington, Geoffrey and Sorce, Jonathan and Wall, Aron C},
journal = {Journal of High Energy Physics},
volume = {2019},
number = {11},
pages = {1--63},
year = {2019},
publisher = {Springer},
doi = {10.1007/JHEP11(2019)069},
eprint = {1812.01171},
}
@article{wen2019choreographed,
title = {Choreographed Entanglement Dances: Topological States of Quantum Matter},
author = {Wen, Xiao-Gang},
journal = {Science},
volume = {363},
number = {6429},
pages = {eaal3099},
year = {2019},
publisher = {American Association for the Advancement of Science},
doi = {10.1126/science.aal3099},
eprint = {1906.05983},
}
@article{lan2019classification,
title = {Classification of (3+1)D Bosonic Topological Orders (II): The Case When Some Pointlike Excitations Are Fermions},
author = {Lan, Tian and Wen, Xiao-Gang},
journal = {Physical Review X},
volume = {9},
number = {2},
pages = {021005},
year = {2019},
publisher = {APS},
doi = {10.1103/PhysRevX.9.021005},
eprint = {1801.08530},
}
@article{liao2019differentiable,
title = {Differentiable Programming Tensor Networks},
author = {Liao, Hai-Jun and Liu, Jin-Guo and Wang, Lei and Xiang, Tao},
journal = {Physical Review X},
volume = {9},
number = {3},
pages = {031041},
year = {2019},
publisher = {APS},
doi = {10.1103/PhysRevX.9.031041},
eprint = {1903.09650},
}
@article{collier2019quantum,
title = {Quantum Regge Trajectories and the Virasoro Analytic Bootstrap},
author = {Collier, Scott and Gobeil, Yan and Maxfield, Henry and Perlmutter, Eric},
journal = {Journal of High Energy Physics},
volume = {2019},
number = {5},
pages = {1--67},
year = {2019},
publisher = {Springer},
doi = {10.1007/JHEP05(2019)212},
eprint = {1811.05710},
}
@article{orus2019tensor,
title = {Tensor Networks for Complex Quantum Systems},
author = {Or{\'u}s, Rom{\'a}n},
journal = {Nature Reviews Physics},
volume = {1},
number = {9},
pages = {538--550},
year = {2019},
publisher = {Nature Publishing Group},
doi = {10.1038/s42254-019-0086-7},
eprint = {1812.04011},
}
@article{huggins2019towards,
title = {Towards Quantum Machine Learning with Tensor Networks},
author = {Huggins, William and Patil, Piyush and Mitchell, Bradley and Whaley, K Birgitta and Stoudenmire, E Miles},
journal = {Quantum Science and Technology},
volume = {4},
number = {2},
pages = {024001},
year = {2019},
publisher = {IOP Publishing},
doi = {10.1088/2058-9565/aaea94},
eprint = {1803.11537},
}
@article{lan2018classification,
title = {Classification of (3+1)D Bosonic Topological Orders (I): The Case When Pointlike Excitations Are All Bosons},
author = {Lan, Tian and Kong, Liang and Wen, Xiao-Gang},
journal = {Physical Review X},
volume = {8},
number = {2},
pages = {021074},
year = {2018},
publisher = {APS},
doi = {10.1103/PhysRevX.8.021074},
eprint = {1704.04221},
}
@article{zou2018conformal,
title = {Conformal Data and Renormalization Group Flow in Critical Quantum Spin Chains Using Periodic Uniform Matrix Product States},
author = {Zou, Yijian and Milsted, Ashley and Vidal, Guifre},
journal = {Physical Review Letters},
volume = {121},
number = {23},
pages = {230402},
year = {2018},
publisher = {APS},
doi = {10.1103/PhysRevLett.121.230402},
eprint = {1710.05397},
}
@article{hauschild2018efficient,
title = {Efficient Numerical Simulations with Tensor Networks: Tensor Network Python (TeNPy)},
author = {Hauschild, Johannes and Pollmann, Frank},
journal = {SciPost Physics Lecture Notes},
pages = {5},
year = {2018},
publisher = {SciPost},
doi = {10.21468/SciPostPhysLectNotes.5},
eprint = {1805.00055},
}
@article{you2018machine,
title = {Machine Learning Spatial Geometry from Entanglement Features},
author = {You, Yi-Zhuang and Yang, Zhao and Qi, Xiao-Liang},
journal = {Physical Review B},
volume = {97},
number = {4},
pages = {045153},
year = {2018},
publisher = {APS},
doi = {10.1103/PhysRevB.97.045153},
eprint = {1709.01223},
}
@article{vanhove2018mapping,
title = {Mapping Topological to Conformal Field Theories through Strange Correlators},
author = {Vanhove, Robijn and Bal, Matthias and Williamson, Dominic J and Bultinck, Nick and Haegeman, Jutho and Verstraete, Frank},
journal = {Physical Review Letters},
volume = {121},
number = {17},
pages = {177203},
year = {2018},
publisher = {APS},
doi = {10.1103/PhysRevLett.121.177203},
eprint = {1801.05959},
}
@article{daniel2018opteinsum,
title = {{opt\_einsum} --- A Python Package for Optimizing Contraction Order for {einsum}-like Expressions},
author = {Daniel, G A Smith and Gray, Johnnie},
journal = {Journal of Open Source Software},
volume = {3},
number = {26},
pages = {753},
publisher = {The Open Journal},
year = {2018},
doi = {10.21105/joss.00753},
}
@article{hauru2018renormalization,
title = {Renormalization of Tensor Networks Using Graph-independent Local Truncations},
author = {Hauru, Markus and Delcamp, Clement and Mizera, Sebastian},
journal = {Physical Review B},
volume = {97},
number = {4},
pages = {045111},
year = {2018},
publisher = {APS},
doi = {10.1103/PhysRevB.97.045111},
eprint = {1709.07460},
}
@article{bhattacharyya2018tensor,
title = {Tensor Network and {($p$-adic)} {AdS/CFT}},
author = {Bhattacharyya, Arpan and Hung, Ling-Yan and Lei, Yang and Li, Wei},
journal = {Journal of High Energy Physics},
volume = {2018},
number = {1},
year = {2018},
publisher = {Springer},
doi = {10.1007/JHEP01(2018)139},
eprint = {1703.05445},
}
@article{evenbly2017algorithms,
title = {Algorithms for Tensor Network Renormalization},
author = {Evenbly, Glen},
journal = {Physical Review B},
volume = {95},
number = {4},
pages = {045117},
year = {2017},
publisher = {APS},
doi = {10.1103/PhysRevB.95.045117},
eprint = {1509.07484},
}
@article{bultinck2017anyons,
title = {Anyons and Matrix Product Operator Algebras},
author = {Bultinck, Nick and Mari{\"e}n, Michael and Williamson, Dominic J and {\c{S}}ahino{\u{g}}lu, Mehmet B and Haegeman, Jutho and Verstraete, Frank},
journal = {Annals of Physics},
volume = {378},
pages = {183--233},
year = {2017},
publisher = {Elsevier},
doi = {10.1016/j.aop.2017.01.004},
eprint = {1511.08090},
}
@article{kong2017boundary,
title = {Boundary-bulk Relation in Topological Orders},
author = {Kong, Liang and Wen, Xiao-Gang and Zheng, Hao},
journal = {Nuclear Physics B},
volume = {922},
pages = {62--76},
year = {2017},
publisher = {Elsevier},
doi = {10.1016/j.nuclphysb.2017.06.023},
eprint = {1702.00673},
}
@article{wen2017colloquium,
title = {Colloquium: Zoo of Quantum-topological Phases of Matter},
author = {Wen, Xiao-Gang},
journal = {Reviews of Modern Physics},
volume = {89},
number = {4},
pages = {041004},
year = {2017},
publisher = {APS},
doi = {10.1103/RevModPhys.89.041004},
eprint = {1610.03911},
}
@article{milsted2017extraction,
title = {Extraction of Conformal Data in Critical Quantum Spin Chains Using the Koo--Saleur Formula},
author = {Milsted, Ashley and Vidal, Guifre},
journal = {Physical Review B},
volume = {96},
number = {24},
pages = {245105},
year = {2017},
publisher = {APS},
doi = {10.1103/PhysRevB.96.245105},
eprint = {1706.01436},
}
@article{bridgeman2017hand,
title = {Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks},
author = {Bridgeman, Jacob C and Chubb, Christopher T},
journal = {Journal of Physics A: Mathematical and Theoretical},
volume = {50},
number = {22},
pages = {223001},
year = {2017},
publisher = {IOP Publishing},
doi = {10.1088/1751-8121/aa6dc3},
eprint = {1603.03039},
}
@article{yang2017loop,
title = {Loop Optimization for Tensor Network Renormalization},
author = {Yang, Shuo and Gu, Zheng-Cheng and Wen, Xiao-Gang},
journal = {Physical Review Letters},
volume = {118},
number = {11},
pages = {110504},
year = {2017},
publisher = {APS},
doi = {10.1103/PhysRevLett.118.110504},
eprint = {1512.04938},
}
@article{bal2017renormalization,
title = {Renormalization Group Flows of Hamiltonians Using Tensor Networks},
author = {Bal, Matthias and Mari{\"e}n, Micha{\"e}l and Haegeman, Jutho and Verstraete, Frank},
journal = {Physical Review Letters},
volume = {118},
number = {25},
pages = {250602},
year = {2017},
publisher = {APS},
doi = {10.1103/PhysRevLett.118.250602},
eprint = {1703.00365},
}
@article{luo2017structure,
title = {The Structure of Fixed-point Tensor Network States Characterizes the Patterns of Long-range Entanglement},
author = {Luo, Zhu-Xi and Lake, Ethan and Wu, Yong-Shi},
journal = {Physical Review B},
volume = {96},
number = {3},
pages = {035101},
year = {2017},
publisher = {APS},
doi = {10.1103/PhysRevB.96.035101},
eprint = {1611.01140},
}
@article{bhattacharyya2016exploring,
title = {Exploring the Tensor Networks/{AdS} Correspondence},
author = {Bhattacharyya, Arpan and Gao, Zhe-Shen and Hung, Ling-Yan and Liu, Si-Nong},
journal = {Journal of High Energy Physics},
volume = {2016},
number = {8},
pages = {1--38},
year = {2016},
publisher = {Springer},
doi = {10.1007/JHEP08(2016)086},
eprint = {1606.00621},
}
@article{hayden2016holographic,
title = {Holographic Duality from Random Tensor Networks},
author = {Hayden, Patrick and Nezami, Sepehr and Qi, Xiao-Liang and Thomas, Nathaniel and Walter, Michael and Yang, Zhao},
journal = {Journal of High Energy Physics},
volume = {2016},
number = {11},
pages = {1--56},
year = {2016},
publisher = {Springer},
doi = {10.1007/JHEP11(2016)009},
eprint = {1601.01694},
}
@article{bruillard2016rank,
title = {Rank-finiteness for Modular Categories},
author = {Bruillard, Paul and Ng, Siu-Hung and Rowell, Eric and Wang, Zhenghan},
journal = {Journal of the American Mathematical Society},
volume = {29},
number = {3},
pages = {857--881},
year = {2016},
publisher = {AMS},
doi = {10.1090/jams/842},
eprint = {1310.7050},
}
@article{hauru2016topological,
title = {Topological Conformal Defects with Tensor Networks},
author = {Hauru, Markus and Evenbly, Glen and Ho, Wen Wei and Gaiotto, Davide and Vidal, Guifre},
journal = {Physical Review B},
volume = {94},
number = {11},
pages = {115125},
year = {2016},
publisher = {APS},
doi = {10.1103/PhysRevB.94.115125},
eprint = {1512.03846},
}
@article{aasen2016topological,
title = {Topological Defects on the Lattice: I. The Ising Model},
author = {Aasen, David and Mong, Roger SK and Fendley, Paul},
journal = {Journal of Physics A: Mathematical and Theoretical},
volume = {49},
number = {35},
pages = {354001},
year = {2016},
publisher = {IOP Publishing},
doi = {10.1088/1751-8113/49/35/354001},
eprint = {1601.07185},
}
@article{schuler2016universal,
title = {Universal Signatures of Quantum Critical Points from Finite-size Torus Spectra: A Window into the Operator Content of Higher-dimensional Conformal Field Theories},
author = {Schuler, Michael and Whitsitt, Seth and Henry, Louis-Paul and Sachdev, Subir and L{\"a}uchli, Andreas M},
journal = {Physical Review Letters},
volume = {117},
number = {21},
pages = {210401},
year = {2016},
publisher = {APS},
doi = {10.1103/PhysRevLett.117.210401},
eprint = {1603.03042},
}
@article{allegra2015exact,
title = {Exact Solution of the 2d Dimer Model: Corner Free Energy, Correlation Functions and Combinatorics},
author = {Allegra, Nicolas},
journal = {Nuclear Physics B},
volume = {894},
pages = {685--732},
year = {2015},
publisher = {Elsevier},
doi = {10.1016/j.nuclphysb.2015.03.022},
eprint = {1410.4131},
}
@article{pastawski2015holographic,
title = {Holographic Quantum Error-correcting Codes: Toy Models for the Bulk/boundary Correspondence},
author = {Pastawski, Fernando and Yoshida, Beni and Harlow, Daniel and Preskill, John},
journal = {Journal of High Energy Physics},
volume = {2015},
number = {6},
pages = {1--55},
year = {2015},
publisher = {Springer},
doi = {10.1007/JHEP06(2015)149},
eprint = {1503.06237},
}
@article{evenbly2015tensor1,
title = {Tensor Network Renormalization},
author = {Evenbly, Glen and Vidal, Guifre},
journal = {Physical Review Letters},
volume = {115},
number = {18},
pages = {180405},
year = {2015},
publisher = {APS},
doi = {10.1103/PhysRevLett.115.180405},
eprint = {1412.0732},
}
@article{evenbly2015tensor2,
title = {Tensor Network Renormalization Yields the Multiscale Entanglement Renormalization Ansatz},
author = {Evenbly, Glen and Vidal, Guifre},
journal = {Physical Review Letters},
volume = {115},
number = {20},
pages = {200401},
year = {2015},
publisher = {APS},
doi = {10.1103/PhysRevLett.115.200401},
eprint = {1502.05385},
}
@article{czarnik2015variational,
title = {Variational Approach to Projected Entangled Pair States at Finite Temperature},
author = {Czarnik, Piotr and Dziarmaga, Jacek},
journal = {Physical Review B},
volume = {92},
number = {3},
pages = {035152},
year = {2015},
publisher = {APS},
doi = {10.1103/PhysRevB.92.035152},
eprint = {1503.01077},
}
@article{orus2014practical,
title = {A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States},
author = {Or{\'u}s, Rom{\'a}n},
journal = {Annals of Physics},
volume = {349},
pages = {117--158},
year = {2014},
publisher = {Elsevier},
doi = {10.1016/j.aop.2014.06.013},
eprint = {1306.2164},
}
@article{evenbly2014algorithms,
title = {Algorithms for Entanglement Renormalization: Boundaries, Impurities and Interfaces},
author = {Evenbly, Glen and Vidal, Guifre},
journal = {Journal of Statistical Physics},
volume = {157},
pages = {931--978},
year = {2014},
publisher = {Springer},
doi = {10.1007/s10955-014-0983-1},
eprint = {1312.0303},
}
@article{kong2014anyon,
title = {Anyon Condensation and Tensor Categories},
author = {Kong, Liang},
journal = {Nuclear Physics B},
volume = {886},
pages = {436--482},
year = {2014},
publisher = {Elsevier},
doi = {10.1016/j.nuclphysb.2014.07.003},
eprint = {1307.8244},
}
@article{pfeifer2014faster,
title = {Faster Identification of Optimal Contraction Sequences for Tensor Networks},
author = {Pfeifer, Robert NC and Haegeman, Jutho and Verstraete, Frank},
journal = {Physical Review E},
volume = {90},
number = {3},
pages = {033315},
year = {2014},
publisher = {APS},
doi = {10.1103/PhysRevE.90.033315},
eprint = {1304.6112},
}
@article{lin2014generalizations,
title = {Generalizations and Limitations of String-net Models},
author = {Lin, Chien-Hung and Levin, Michael},
journal = {Physical Review B},
volume = {89},
number = {19},
pages = {195130},
year = {2014},
publisher = {APS},
doi = {10.1103/PhysRevB.89.195130},
eprint = {1402.4081},
}
@article{evenbly2014improving,
title = {Improving the Efficiency of Variational Tensor Network Algorithms},
author = {Evenbly, Glen and Pfeifer, Robert NC},
journal = {Physical Review B},
volume = {89},
number = {24},
pages = {245118},
year = {2014},
publisher = {APS},
doi = {10.1103/PhysRevB.89.245118},
eprint = {1310.8023},
}
@article{lan2014topological,
title = {Topological Quasiparticles and the Holographic Bulk-edge Relation in {(2+1)-dimensional} String-net Models},
author = {Lan, Tian and Wen, Xiao-Gang},
journal = {Physical Review B},
volume = {90},