Links to recent papers by participants that are related to the project, with names of project members in boldface. (Links to posters are at the bottom of this page, as well as links to articles that refer to the project.) Papers after September 2017 acknowledge various grants that specifically support this or related projects.
 C. Gorgulla, Süleyman Çınaroğlu, P. D. Fischer, K. Fackeldey, G. Wagner and H. Arthanari, VirtualFlow Ants—Ultra-Large Virtual Screenings with Artificial Intelligence Driven Docking Algorithm Based on Ant Colony Optimization, Int. J. Mol. Sci. 2021, 22(11), 5807; https://doi.org/10.3390/ijms22115807
 Kaifeng Bu, Dax Enshan Koh, Lu Li, Qingxian Luo, and Yaobo Zhang, “Effects of quantum resources on the statistical complexity of quantum circuits,” arXiv:2102.03282.
 Zhengwei Liu, Yunxiang Ren, and Sébastien Palcoux, Interpolated family of non group-like simple integral fusion rings of Lie type, arXiv:2102.01663
 Roy Garcia, You Zhou, and Arthur Jaffe, Quantum scrambling with classical shadows, arXiv:2012.01008
 Kaifeng Bu, Dax Enshan Koh, Lu Li, Qingxian Luo, and Yaobo Zhang, On the statistical conplexity of quantum circuits, arXiv:2101.06154
 Kaifeng Bu, Yaobo Zhang, and Qingxian Luo, Depth-Width Trade-Offs for Neural Networks via Topological Entropy, arXiv:2010.07587
 Christoph Gorgulla, Konstantin Fackeldey, Gerhard Wagner, Haribabu Arthanari, Accounting of Receptor Flexibility in Ultra-Large Virtual Screens with VirtualFlow Using a Grey Wolf Optimization Method. Supercomputing Frontiers and Innovations 7(3) (2020), 4–12
 Zhengwei Liu, Yunxiang Ren, and Sébastien Palcoux, Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six, arXiv:2010.10264
 Zhengwei Liu and Christopher Ryba, The Grothendieck Ring of a Family of Spherical Categories, arXiv:2007.05622
 Xiao Yuan, Jinzhao Sun, Qi Zhao, and You Zhou, Quantum simulation with hybrid tensor networks, arXiv:2007.00958
 Arthur Jaffe and Zhengwei Liu, A Mathematical Picture Language Project, arXiv:2006.03954, to appear in the Proceedings of the ICCM.
 William Norledge and Adrian Ocneanu, Hopf Monoids, Permutohedral Cones, and Generalized Retarded Functions, arXiv:1911.11736v4
 Boaz Barak, Chi-Ning Chou, and Xun Gao, Spoofing Linear Cross-Entropy Benchmarking in Shallow Quantum Circuits, arXiv:2005.02421
 Alex Wozniakowski, Jayne Thompson, Mile Gu, and Felix Binder, Boosting on the shoulders of giants in quantum device calibration, arXiv:2005.06194.
 Kibrom G. Gebremeskel and Linzhe Huang, Boundedness and Spectrum of Multiplicative Convolution Operators Induced by Arithmetic Functions, Acta Mathematica Sinica, English Series 35(8) (2019), 1300–1310.
 You Zhou, Pei Zeng, and Zhenhuan Liu, Single-copies estimation of entanglement negativity, arXiv:2004.11360
 Christoph Gorgulla, Andras Boeszoermenyi, Zi-Fu Wang, Patrick D. Fischer, Paul Coote, Krishna M. Padmanabha Das, Yehor S. Malets, Dmytro S. Radchenko, Yurii S. Moroz, David A. Scott, Konstantin Fackeldey, Moritz Hoffmann, Iryna Iavniuk, Gerhard Wagner, Haribabu Arthanari, An open-source drug discovery platform enables ultra-large virtual screens, Nature 580 (2020) 663–668.
 Qi Zhao and You Zhou, Constructing Multipartite Bell inequalities from stabilizers, arXiv:2002.01843.
 Lu Li, Kaifeng Bu, and Junde Wu, Contextual robustness: An operational measure of contextuality, Phys. Rev. A 101, 012120 (2020).
 Zhengwei Liu, Quantized Graphs and Quantum Error Correction, arXiv:1910.12065.
 Zhengwei Liu, Sebastien Palcaux, and Jinsong Wu, Fusion Bialgebras and Fourier Analysis, arXiv:1910.12059.
 Yunxiang Ren, A generating problem for subfactors, arXiv:1910.09723.
 Bartosz Regula, Kaifeng Bu, Ryuji Takagi, and Zi-Wen Liu, Benchmarking one-shot distillation in general resource theories, arXiv:1909.11677, Physical Review A, 101, (2020) 062315, chosen as "Editors suggestion."
 Xiaoqin Gao and Zhengwei Liu, Universal Quantum Computation by a Single Photon, arXiv:1909.09535.
 Zhengwei Liu and Jinsong Wu, Non-Commutative Rényi entropic uncertainty principles, arXiv:1904.04292. Science China Mathematics (2020), https://doi.org/10.1007/s11425-019-9523-4.
 Zi-Wen Liu, Kaifeng Bu, Ryuji Takagi, One-shot operational quantum resource theory, arXiv:1904.05840, Physical Review Letters 123 (2019), 020401, selected as Editor’s suggestion.
 Zhengwei Liu, William Norledge, and Adrian Ocneanu, The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations, arXiv:1901.03243.
 Kaifeng Bu and Dax Enshan Koh, Classical simulation of quantum circuits by half Gauss sums, arXiv:1812.00224.
 Fei Wei, Anqie entropy and arithmetic compactification of natural numbers, arXiv:1811.11000.
 Fei Wei, Disjointness of Möbius from asymptotically periodic functions, arXiv:1810.07360.
 Ryuji Takagi, Bartosz Regula, Kaifeng Bu, Zi-Wen Liu, and Gerardo Adesso, Operational advantage of quantum resources in subchannel discrimination, arXiv:1809.01672, Physical Review Letters 122 (2019), 140402, selected as Editor’s Suggestion.
 Jordan Nikkel and Yunxiang Ren, On Jones Subgroup of R. Thompson's Group T, arXiv:1710.06972, International Journal of Algebra and Computation 28 (2018), 877–903.
 Kaifeng Bu, Arthur Jaffe, Zhengwei Liu and Jinsong Wu, De Finetti Theorems for Braided Parafermions, arXiv:1805.05990, Communication in Mathematical Physics 373 (2020), 435–456.
 Zhengwei Liu and Jinsong Wu, Antisymmetric Characters and Fourier Duality, arxiv:1805.04783.
 Zhengwei Liu and Jinsong Wu, Extremal Pairs of Young’s Inequality for Kac Algebras, Pacific Journal of Mathematics 295 (2018), 103–121.
 William Norledge, Singer cyclic lattices of type M, arXiv:1711.09332.
 William Norledge, Quotients of buildings by groups acting freely on chambers, arXiv:1711.09330.
 William Norledge, Quotients of buildings as W-groupoids, arXiv:1710.06968.
 Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu, and Yunxiang Ren, An angle between intermediate subfactors and its rigidity, arXiv:1710.00285, Transactions of the American Mathematical Society 371 (2019), 5973–5991.
 Zhengwei Liu, Scott Morrison, and David Penneys, Lifting shadings on symmetrically self-dual subfactor planar algebras, arXiv:1709.05023. To appear in Contemporary Mathematics.
 Arthur Jaffe and Zhengwei Liu, A Mathematical Picture Language Program, Proceedings of the National Academy of Sciences 115 (2018), 81–86.
 Zhengwei Liu, Quon Language: Surface Algebras and Fourier Duality, arXiv:1707.03995, Communications in Mathematical Physics 366 (2019), 865–894.
 Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Holographic Software for Quantum Networks, Science China Mathematics 61 (2018), 593–626.
 Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Qudit Isotopy, arXiv:1602.02671.
 Zhengwei Liu, Yang-Baxter Relation Planar Algebras, arXiv:1507.06030.
 Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Uncertainty principles for locally compact quantum groups, Journal of Functional Analysis 274 (2018), 2399-2445.
 Zhengwei Liu and David Penneys, The generator conjecture for 3G subfactor planar algebras, Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones' 60th Birthday (2017), 344–366.
 Zhengwei Liu, Simeng Wang, and Jinsong Wu, Young’s inequality for locally compact quantum groups, Journal of Operator Theory 77 (2017), 109–131.
 Zhengwei Liu and Jinsong Wu, Uncertainty principle for Kac algebras, Journal of Mathematical Physics 58 (2017), 052102.
 Zhengwei Liu and Jinsong Wu, The Noncommutative Fourier Transform: A survey, Acta Mathematica Sinica Chinese Series (In honor of the 75th birthday of Bingren Li) 60 (2017), 69–80.
 Zhengwei Liu, and Alex Wozniakowski, and Arthur Jaffe, Quon 3D language for quantum information, Proceedings of the National Academy of Sciences 114 (2017), 2497–2502.
 Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Constructive Simulation and Topological Design of Protocols, New Journal of Physics 19 (2017), 063016.
 Arthur Jaffe and Bas Janssens, Reflection Positive Doubles, Journal of Functional Analysis 272 (2017), 3506–3557.
 Arthur Jaffe and Zhengwei Liu, Planar Para Algebras, Reflection Positivity, Communications in Mathematical Physics 352 (2017), 95–133.
 Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Noncommutative uncertainty principles, arXiv:1408.1165, Journal of Functional Analysis 270 (2016), 264–311.
 Arthur Jaffe and Bas Janssens, Characterization of Reflection Positivity: Majoranas and Spins, Communications in Mathematical Physics 346 (2016), 1021–1050.
 Arthur Jaffe and Fabio L. Pedrocchi, Reflection Positivity for Parafermions, Communications in Mathematical Physics 337 (2015), 455–472.
 Arthur Jaffe, Stochastic Quantization, Reflection Positivity, and Quantum Fields, Journal of Statistical Physics 161 (2015), 1–15.
 Arthur Jaffe, Christian Jäkel, and Roberto Martinez, Complex Classical Fields: an Example, Journal of Functional Analysis 266 (2014), 1833–1881.
 Harvard Physics Research Scholar Retreat September 12, 2018. Poster by Kaifeng Bu (Awarded first prize)
 Perimeter Institute Interview with Zi-Wen Liu about his work with Kaifeng Bu, An All Powerful Quantum Juicer
 Daniel S. Silver, The New Language of Mathematics, American Scientist 105 (November-December 2017), 365.