发表论文：
1. Zhengwei Liu, Composed inclusions of A3 and A4 subfactors. Advances in Mathematics, 2015, 279: 307-371
https://doi.org/10.1016/j.aim.2015.03.017
2. Zhengwei Liu, Scott Morrison, Dave Penneys, 1-supertransitive subfactors with index at most 6+1/5. Communications in Mathematical Physics, 2015, 334(2): 889-922. https://doi.org/10.1007/s00220-014-2160-4
3. Zhengwei Liu, Exchange relation planar algebras of small rank. Transactions of the AMS, 2016, 368(12): 8303-8348.
https://doi.org/10.1090/tran/6582
4. Zhengwei Liu, Chunlan Jiang, Jinsong Wu, Noncommutative uncertainty principles. Journal of Functional Analysis, 2016, 270(1): 264-311.
https://doi.org/10.1016/j.jfa.2015.08.007
5. Zhengwei Liu, Arthur Jaffe, Alex Wozniakowsk Quon 3D language for quantum information. PNAS, 2017, 114(10): 2947-2502
doi:10.1073/pnas.1621345114
6. Zhengwei Liu, Arthur Jaffe, Planar para algebras, reflection positivity. Communications in Mathematical Physics, 2017, 352(1): 95-133.
doi:10.1007/s00220-016-2779-4
7. Zhengwei Liu, Singly generated planar algebras of small dimension, part III. Transactions of the AMS, 2017, 369(4): 2461-2476. (Joint with Dietmar Bisch and Vaughan F. R. Jones) https://doi.org/10.1090/tran/6719
8. Zhengwei Liu, Jinsong Wu, Uncertainty principle for Kac algebras. Journal of Mathematical Physics 2017, 58(5): 052102
http://dx.doi.org/10.1063/1.4983755
9. Zhengwei Liu, Simeng Wang, Jinsong Wu, Young’s inequality for locally compact quantum groups. Journal of Operator Theory, 2017, 77(1): 109-131. http://dx.doi.org/10.7900/jot.2016mar03.2104
10.Zhengwei Liu, Arthur Jaffe, Alex Wozniakowski, Constructive simulation and topological design of protocols. New Journal of Physics, 2017, 19(6): 063016 https://doi.org/10.1088/1367-2630/aa5b57
11.Zhengwei Liu, Jinsong Wu, The Noncommutative Fourier Transform: A survey. Acta Math- ematica Sinica Chinese Series, (In honor of the 75th birthday of Bingren Li) 2017, 60(1): 69-80.
arXiv:1611.04630
12.Zhengwei Liu, David Penneys, The generator conjecture for 3G subfactor planar algebras. The Proceedings of the Centre for Mathematics and its Applications, Mathematical Sci- ences Institute, the Australian National University: The Proceedings in honor of Vaughan F. R. Jones’ 60th birthday conferences, edited by Scott Morrison and David Penneys 2017, 46: 344-366
arXiv:1507.04794
13.Zhengwei Liu, Chunlan Jiang, Jinsong Wu, Uncertainty principles for locally compact quantum groups. Journal of Functional Analysis, 2018, 274(8): 2399-2445, https://doi.org/10.1016/j.jfa.2017.09.010
14.Zhengwei Liu, Arthur Jaffe, Mathematical picture language program. PNAS, 2018, 115(1): 81-86. doi:10.1073/pnas.1710707114
15.Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski Holographic software for quantum networks. Science China Mathematics, 2018, 61 (4): 593-626. doi:10.1007/s11425-017-9207-3
16.Zhengwei Liu, Jinsong Wu, Extremal pairs of Young’s inequality for Kac algebras. Pacific Journal of Mathematics, 2018, 295 (1) 103-121.
17.doi:10.2140/pjm.2018.295.103
18.Zhengwei Liu, Chunlan Jiang, Jinsong Wu, Block maps and Fourier analysis. Science China Mathematics, 2019, 62(8) 1585-1614
19.doi:10.1007/s11425-017-9263-7
20.Zhengwei Liu, Quon language: surface algebras and Fourier duality. Communications in Mathematical Physics, 2019, 366: 865-894
https://doi.org/10.1007/s00220-019-03361-3
21.Zhengwei Liu, Keshab Bakshi, Sayan Das, Yunxiang Ren, An angle between intermediate subfac- tors and its rigidity. Transactions of the AMS, 2019, 371: 5973-5991 https://doi.org/10.1090/tran/7738
20.Zhengwei Liu, Feng Xu, Jones-Wassermann subfactors for modular tensor categories. Advances in Mathematics, 2019, 355(15): 106775
https://doi.org/10.1016/j.aim.2019.106775
21.Zhengwei Liu, Corey Jones, Yunxiang Ren, Classification of Thurston-relation subfactor planar algebras. Quantum Topology, 2019, 10(3), 441-480
doi: 10.4171/QT/126,
22.Zhengwei Liu, Scott Morrison, Dave Penneys, Lifting shadings on symmetrically self-dual subfac- tor planar algebras. Contemporary Mathematics, 2020, 747 https://doi.org/10.1090/conm/747/15038
23.Kaifeng Bu, Zhengwei Liu, Arthur Jaffe, Jinsong Wu, De Finetti theorems for braided parafermions. Communications in Mathematical Physics, 2020, 373: 435-456 https://doi.org/10.1007/s00220-019-03579-1
24.Zhengwei Liu, Jinsong Wu, Non-Commutative R ́enyi entropic uncertainty principles. Science China Mathematics, 2020, 63, 2287-2298.
https://doi.org/10.1007/s11425-019-9523-4
25.Arthur Jaffe, Chunlan Jiang, Zhengwei Liu, Yunxiang Ren, Jinsong Wu, Quantum Fourier Anal- ysis. PNAS, 2020, 117(20): 10715-10720 https://www.pnas.org/cgi/doi/10.1073/pnas.2002813117
26.Zhengwei Liu, Arthur Jaffe, Reflection Positivity and Levin-Wen Models. Expositiones Mathe- maticae, a special issue dedicated to Dick Kadison, 2020, 38(2), 202-216
27.Zhengwei Liu, Arthur Jaffe, A Mathematical Picture Language Project. to appear 2019 ICCM conference proceedings.
28.Zhengwei Liu, Jinsong Wu, Antisymmetric characters and Fourier duality. Communications in Mathematical Physics, 2021, 284, 77-108
https://doi.org/10.1007/s00220-021-04047-5
29.Zhengwei Liu, Sebastien Palcoux, Jinsong Wu, Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification Advances in Mathematics, 2021, 390, 107905 https://doi.org/10.1016/j.aim.2021.107905
30.Zhengwei Liu, Obituary: Vaughan Jones Notices of the International Congress of Chinese Mathematicians, 2021, 9(1), 69-73
https://dx.doi.org/10.4310/ICCM.2021.v9.n1.a5
31.Zhengwei Liu, Christopher Ryba, The Grothendieck Ring of a Family of Spherical Categories. Communications in Mathematical Physics, 2022, 396, 315-348 https://doi.org/10.1007/s00220-022-04460-4
32.Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six Letters in Mathematical Physics, 2022, 112(54),
https://doi.org/10.1007/s11005-022-01542-1
33.Zhengwei Liu, William Norledge, Adrian Ocneanu, The adjoint braid arrangement as a combina- torial Lie algebra via the Steinmann relations. Journal of Pure and Applied Algebra, 2023, 227(8), 107349
https://doi.org/10.1016/j.jpaa.2023.107349
34.Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Interpolated family of non group-like simple integral fusion rings of Lie type International Journal of Mathematics, 2023, 34(6), 2350030 https://doi.org/10.1142/S0129167X23500301
35.Zhengwei Liu, Linzhe Huang, Sebastien Palcoux, Jinsong WuComplete Positivity of Comultiplica- tion and Primary Criteria for Unitary Categorification International Mathematics Research Notices, 2024, 1, 817-860,
https://doi.org/10.1093/imrn/rnad214
36.Zhengwei Liu, Linzhe Huang, Jinsong WuQuantum smooth uncertainty principles for von Neu- mann bi-algebras Quantum Topology, 2024, 15(3), 473-501, https://ems.press/journals/qt/articles/14297697
37.Zhengwei Liu, Linzhe Huang, Jinsong Wu, Quantum convolution inequalities on Frobenius von Neumann algebras Science China Mathematics 2024
https://arxiv.org/abs/2204.04401
38.Yuguo Shao, Fuchuan Wei, Song Cheng, Zhengwei Liu, Simulating Noisy Variational Quantum Algorithms: A Polynomial Approach Phys. Rev. Lett. 2024, 133, 120603 https://doi.org/10.1103/PhysRevLett.133.120603
39.Fuchuan Wei, Zhenhuan Liu, Guoding Liu, Zizhao Han, Xiongfeng Ma, Dong-Ling Deng, Zheng- wei Liu, Simulating non-physical actions via exponentiation of Hermitian-preserving maps, to appear npj Quantum Information
arXiv:2308.07956
40.Linzhe Huang, Arthur Jaffe, Zhengwei Liu, Jinsong Wu, The Quantum Perron-Frobenius Space, to appear Journal of Noncommutative Geometry arXiv:2305.18971
arXiv papers:
41.Zixuan Feng, Zhengwei Liu, Fan Lu, Ningfeng Wang Quon Classical Simulation: Unifying Clif- ford, Matchgates and Entanglement https://arxiv.org/abs/2505.07804
Byungmin Kang, Chen Zhao, Zhengwei Liu, Xun Gao, Soonwon Choi 2D Quon Language: Unifying Framework for Cliffords, Matchgates, and Beyond https://arxiv.org/abs/2505.06336
42.Zhengwei Liu, Fan Lu, Classification of exchange relation planar algebras through sieving forest fusion graphs https://arxiv.org/abs/2412.17790
43.Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, Alterfold Theory and Topological Modular Invariance arXiv:2412.12702
44.Ruiqi Zhang, Yuguo Shao, Fuchuan Wei, Song Cheng, Zhaohui Wei, Zhengwei Liu Clifford Per- turbation Approximation for Quantum Error Mitigation arxiv:2412.09518
45.Zhengwei Liu, Yuze Ruan On Z/2Z permutation gauging arxiv:2408.17195
46.Yuguo Shao, Fuchuan Wei, Zhaohui Wei, Zhengwei Liu, Variational Graphical Quantum Error
Correction Codes: adjustable codes from topological insights, arXiv:2410.02608
47.Zhengwei Liu, Functional Integral Construction of Topological Quantum Field Theory arXiv:2409.17103
48.Zhengwei Liu, Yuze Ruan, On Z/2Z permutation gauging arXiv:2408.17195
49.Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, Alterfold Topological Quantum Field
Theory, arXiv:2312.06477
50.Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, 3-Alterfolds and Quantum Invariants,
arXiv:2307.12284
51.Zhengwei Liu, Sebastien Palcoux and Yunxiang Ren, Triangular Prism Equations and Categorification, arXiv:2203.06522
52.Zhengwei Liu, Quantized Graphs and Quantum Error Correction, arXiv:1910.12065
53.Zhengwei Liu and Xiaoqin Gao, Universal Quantum Computation by a Single Photon, arXiv:1909.09535
54.Zhengwei Liu, Yang-Baxter relation planar algebras, arXiv:1507.06030
