MURI Project Publications

Title: Toward Mathematical Intelligence and Certifiable Automated Reasoning: Theoretical Understanding and Experimental Realization
Proposal Number: 76553-MA-MUR
Agreement Number: W911NF-20-1-0082

Publications List (Participants in Bold)

  1. Boaz Barak, Chi-Ning Chou, Xun Gao, “Spoofing Linear Cross-Entropy Benchmarking in Shallow Quantum Circuits,” ITCS 2021 (2021), 30:1–20.
  2. Arthur Jaffe, Zhengwei Liu, “A Mathematical Picture Language Project,” arXiv:2006.03954, accepted for publication in Proceedings of the ICCM 2019.
  3. Kaifeng Bu, Yaobo Zhang, Qingxian Luo, “Depth-width trade-offs for neural networks via topological entropy,” arXiv:2010.07587.
  4. Jun Yang, “Actions of Cusp Forms on Holomorphic Discrete Series and Von Neumann Algebras,” arXiv::2010.00759.
  5. Yang Qiu, Zhenghan Wang, “Ground subspaces of topological phases of matter as error correcting codes,” Annals of Physics, 422 (2020), 168318, doi.org/10.1016/j.aop.2020.168318.
  6. Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, “Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six,” arXiv:2010.10264, published in Lett. Math. Phys. 112 Art. 54 (2002).
  7. Liang Wang, Zhenghan Wang, “In and around Abelian anyon models,” Journal of Physics A: Mathematical and Theoretical, 53 (2020), 505203, doi.org/10.1088/1751-8121/abc6c0.
  8. Kaifeng Bu, Dax Enshan Koh, Lu Li, Qingxian Luo, Yaobo Zhang, “On the statistical complexity of quantum circuits,” Physical Review A, 105, 062431(2022), doi.org/10.1103/PhysRevA.105.062431.
  9. Ruben Verresen, Mikhail D. Lukin, Ashvin Vishwanath, “Prediction of Toric Code Topological Order from Rydberg Blockade,” Physical Review X, 11, 031005 (2021) https://doi.org/10.1103/PhysRevX.11.031005.
  10. Taylor L. Patti, Khadijeh Najafi, Xun Gao, Susanne F. Yelin, "Entanglement Devised Barren Plateau Mitigation,” arXiv:2012.12658.
  11. Xun Gao, Eric R. Anschuetz, Sheng-Tao Wang, Ignacio Cirac, Mikhail D. Lukin, “Enhancing Generative Models via Quantum Correlations,” Physical Review X, 12, 021037, doi:10.1103/PhysRevX.12.021037 (May 13 2022).
  12. Shawn X. Cui, Yang Qiu, Zhenghan Wang, “From Three Dimensional Manifolds to Modular Tensor Categories,” Communications in Mathematical Physics, 397, no. 3 (2023), 1191-1235, doi.org/10.1007/s00220-022-04517-4.
  13. Emily Riehl, Dominic Verity, "Cartesian exponentiation and monadicity," to appear in Cah. Topol. Géom. Différ. Catég arXiv:2101.0985. 
  14. Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, “Interpolated family of non-group-like simple integral fusion rings of Lie type,” arXiv:2102.01663 accepted for publication International Journal of Mathematics (World Scientific),  https://www.worldscientific.com/doi/epdf/10.1142/S0129167X23500301
  15. Kaifeng Bu, Dax Enshan Koh, Lu Li, Qingxian Luo, Yaobo Zhang, “Effects of quantum resources on the statistical complexity of quantum circuits,” Quantum Science and Technology, 8, 025013(2023), doi.org/10.1088/2058-9565/acb56a.
  16. Yang Qiu, Zhenghan Wang, “Representations of Motion Groups of Links via Dimension Reduction of TQFTs,” Communications in Mathematical Physics, 382 (2021), 2071–2100, doi.org/10.1007/s00220-021-03991-6.
  17. Robert Lin, “A Graphical Calculus for Multi-Qudit Computations with Generalized Clifford Algebras,” arXiv: 2103.16081.
  18. Penghua Chen, Shawn X. Cui, Bowen Yan, “Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras,” Journal of Physics A: Mathematical and Theoretical 55, no. 18 (2022), 185201, doi.org/10.1088/1751-8121/ac552c.
  19. Robert Lin, “An Algebraic Framework for Multi-Qudit Computations with Generalized Clifford Algebras,” arXiv:2103.15324.
  20. Shawn X. Cui, Paul Gustafson, Yang Qiu, Qing Zhang, “From Torus Bundles to Particle-Hole Equivariantization,” Letters in Mathematical Physics 112, no. 1 (2022), 15, doi.org/10.1007/s11005-022-01508-3.
  21. Philip Hackney, Viktoriya Ozornova, Emily Riehl, Martina Rovelli, “An (∞,2)-categorical pasting theorem,” Transactions of the American Mathematical Society, 376 (2023), 555-597, doi.org/10.48550/arXiv.2106.03660.
  22. David Jaz Myers, “Modal Fracture of Higher Groups,” arXiv:2106.15390.
  23. Roy J. Garcia, You Zhou, Arthur Jaffe, “Quantum scrambling with classical shadows,” Physical Review Research, 3 (2021), 033155, doi.org/10.1103/PhysRevResearch.3.033155.
  24. Sepehr Ebadi, Tout T. Wang, H. Levine, Alexander Keesling, Giulia Semeghini, Ahmed Omran, Dolev Bluvstein, Rhine Samajdar, Hannes Pichler, Wen Wei Ho, Soonwon Choi, Subir Sachdev, Markus Greiner, Vladan Vuletić, Mikhail D. Lukin, “Quantum phases of matter on a 256-atom programmable quantum simulator.” Nature, 595 (2021), 227–232, doi.org/10.1038/s41586-021-03582-4.
  25. Giulia Semeghini, Harry Levine, Alexander Keesling, Sepehr Ebadi, Tout T. Wang, Dolev Bluvstein, Ruben Verresen, Hannes Pichler, Marcin Kalinowski, Rhine Samajdar, Ahmed Omran, Subir Sachdev, Ashvin Vishwanath, Markus Greiner, Vladan Vuletić, Mikhail D. Lukin, “Probing Topological Spin Liquids on a Programmable Quantum Simulator,” Science, 374, 6572: 1242-1247, doi:10.1126/science.abi8794 (Dec 2 2021).
  26. Ulrik Buchholtz, Jonathan Weinberger, Synthetic fibered (∞,1)-category theory," Higher Structures 7(1): 74-165 (2023), doi:10.21136/HS.2023.04.
  27. John Harding, Zhenghan Wang, “Logical aspects of quantum structures,” arXiv:2108.09819, Financial Econometrics: Bayesian analysis, quantum uncertainty, and related topics, Studies in Systems, Decision and Control, 85-104. Proceedings of ECONVN 2022, Thatch, Kreinovich, Ha and Trung Eds. Springer 2022, doi.org/10.1007/978-3-030-98689-6_6.
  28. Emily Riehl, Mira Wattal, “On ∞-cosmoi of bicategories,” La Matematica (2022) 1:740–764, doi.org/10.1007/s44007-022-00033-y.
  29. Colton Griffin, Shawn X. Cui, “Constructing Approximately Diagonal Unitary Gates,” International Journal of Quantum Information 20, no. 8 (2022), 2250025, doi.org/10.48550/arXiv.2109.05138.
  30. Modjtaba Shokrian Zini, Zhenghan Wang, “Mixed-state TQFTs,” arXiv:2110.13946.
  31. Harry Levine, Dolev Bluvstein, Alexander Keesling, Tout T. Wang, Sepehr Ebadi, Giulia Semeghini, Ahmed Omran, Markus Greiner, Vladan Vuleti, Mikhail D. Lukin, “Dispersive optical systems for scalable Raman driving of hyperfine qubits,” Physical Review A, 105, 032618, doi:10.1103/PhysRevA.105.032618 (Mar 29 2022).
  32. Rodrigo Araiza Bravo, Khadijeh Najafi, Xun Gao, Susanne F. Yelin, “Quantum reservoir computing using arrays of Rydberg atoms,” doi.org/10.1103/PRXQuantum.3.030325. PRX Quantum, 3, 030325 (2022
  33. Robert Lin, “Certain Linear Combinations of Exponential Functions are Positive under Semidefinite Linear Constraints,” arXiv:2112.00134.
  34. Roy J. Garcia, Kaifeng Bu, Arthur Jaffe, “Quantifying scrambling in quantum neural networks,” Journal of High Energy Physics (2022), Article number 27, doi.org/10.1007/JHEP03(2022)027.
  35. Xun Gao, Marcin Kalinowski, Chi-Ning Chou, Mikhail D. Lukin, Boaz Barak, Soonwon Choi, “Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage,” arXiv:2112.01657.
  36. Dolev Bluvstein, Harry Levine, Giulia Semeghini, Tout T. Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, Vladan Vuleti, Mikhail D. Lukin, “A quantum processor based on coherent transport of entangled atom arrays,” Nature, 604: 451-456, doi.org/10.1038/s41586-022-04592-6 (2022).
  37. Elias Kokkas, Aaron Bagheri, Zhenghan Wang, George Siopsis, “Quantum Computing with Two-dimensional Conformal Field Theories,” arXiv:2112.06144.
  38. Cole Miles, Rhine Samajdar, Sepehr Ebadi, Tout T. Wang, Hannes Pichler, Subir Sachdev, Mikhail D. Lukin, Markus Greiner, Kilian Q. Weinberger, Eun-Ah Kim, “Machine learning discovery of new phases in programmable quantum simulator snapshots,” Physical Review Research, 5, 013026, (2023) doi.org/10.1103/PhysRevResearch.5.013026.
  39. Kaifeng Bu, Dax Enshan Koh, “Classical simulation of quantum circuits by half Gauss sums,” Communications in Mathematical Physics, 390.2 (2022): 471-500, doi.org/10.1007/s00220-022-04320-1.
  40. Kaifeng Bu, Dax Enshan Koh, Roy Garcia, Arthur Jaffe, "Classical shadows with Pauli-invariant unitary ensembles,” Nature Portfolio Journal Quantum Information, 10, 6 (2024), doi.org/10.1038/s41534-023-00801-w.
  41. Boaz Barak, Dolev Bluvstein, Madelyn Cain, Soonwon Choi, Sepehr Ebadi, Edward Farhi, Alexander Keesling, Harry Levine, Xun Gao, Nathan Gemelke, Markus Greiner, Jinguo Liu, Xiu-Zhe Luo, Mikhail D. Lukin, Beatrice Nash, Ahmed Omran, Hannes Pichler, Subir Sachdev, Rhine Samajdar, Giulia Semeghini, Shengtao Wang, Vladan Vuletic, Tout T. Wang, Leo Zhou, “Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays,” Science, 376, 6598: 1209-1215, doi:10.1126/science.abo6587 (2022).
  42. Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, “Triangular Prism Equations and Categorification,” arXiv:2203.06522.
  43. Jun Yang, “Plancherel Measures of Reductive Adelic Groups and Von Neumann Dimensions,” arXiv:2203.07974.
  44. Siu-Hung Ng, Eric C. Rowell, Zhenghan Wang, Xiao-Gang Wen, “Reconstruction of modular data from SL2(Z) representations,” Commun. Math. Phys. 402, 2465–2545 (2023). doi.org/10.1007/s00220-023-04775-w.
  45. David Aasen, Matthew B. Hastings, Zhenghan Wang, “Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes,” Physical Review B 106, 085122 (2022). doi.org/10.1103/PhysRevB.106.085122
  46. Robert Lin, Jonathan Boretsky, "Kraus-like Decompositions," arXiv:2204.06741.
  47. Kaifeng Bu, Roy J. Garcia, Arthur Jaffe, Dax Enshan Koh, Lu Li, “Complexity of quantum circuits via sensitivity, magic, and coherence,” arXiv:2204.12051.
  48. Kaifeng Bu, Hao Zhong, “Privacy-Utility Trade-Off,” arXiv:2204.12057.
  49. Philip Hackney, Viktoriya Ozornova, Emily Riehl, Martina Rovelli, "Pushouts of Dwyer maps are (∞,1)-categorical," arXiv.org/abs/2205.02353. Accepted for publication in Algebraic & Geometric Topology.
  50. Jin-Guo Liu, Xun Gao, Madelyn Cain, Mikhail D. Lukin, Sheng-Tao Wang, “Computing solution space properties of combinatorial optimization problems via generic tensor networks,” SIAM Journal on Scientific Computing 45, 3, doi:10.1137/22M1501787 (Jun 2023).
  51. Iris Cong, Sheng-Tao Wang, Harry Levine, Alexander Keesling, Mikhail D. Lukin, “Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms,” Physical Review X, 12, 021049, doi:10.1103/PhysRevX.12.021049.
  52. Kaifeng Bu, Roy J. Garcia, Arthur Jaffe, Chen Zhao, “Barren plateaus from learning scramblers with local cost functions,” Journal of High Energy Physics 2023.1 (2023): 1-79, doi.org/10.1007/JHEP01(2023)090.
  53. David Jaz Myers, "Orbifolds as Microlinear Types in Synthetic Differential Cohesive Homotopy Type Theory," arXiv:2205.15887.
  54. Weishun Zhong, Xun Gao, Susanne F. Yelin, Khadijeh Najafi, “Many-body localized hidden Born machine,” arxiv:2207.02346.
  55. Kristine Rezai, Soonwon Choi, Mikhail D. Lukin, Alexander O. Sushkov, “Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor,” arXiv:2207.10688.
  56. Andrew Yu, “Quantum Complexity of Permutations,” arXiv:2207.14102, accepted for publication in the Pure and Applied Mathematics Quarterly.
  57. Lu Li, Kaifeng Bu, Dax Enshan Koh, Arthur Jaffe, Seth Lloyd, “Wasserstein Complexity of Quantum Circuits,” arXiv:2208.06306.
  58. Roy Garcia, Kaifeng Bu, Arthur Jaffe, “Resource theory of quantum scrambling,” arXiv:2208.10477, Proceedings of the National Academy of Sciences 120 (2023), e2217031120.
  59. Giuliano Giudici, Mikhail D. Lukin, Hannes Pichler, “Dynamical preparation of quantum spin liquids in Rydberg atom arrays,” Physical Review Letters, 129, 090401, doi:10.1103/PhysRevLett.129.090401 (Aug 22 2022).
  60. Leigh Martin, Hengyun Zhou, Nathaniel T. Leitao, Nishad Maskara, Oksana Makarova, Haoyang Gao, Qian-Ze Zhu, Mincheol Park, Matthew Tyler, Hongkun Park, Soonwon Choi, Mikhail D. Lukin, “Controlling local thermalization dynamics in a Floquet-engineered dipolar ensemble,” Physical Review Letters 130, 210403 (2023).  doi.org/10.1103/PhysRevLett.130.210403.
  61. Tim Campion, "Cubes are dense in (¥,¥)-categories," arXiv:2209.09376.
  62. Iris Cong, Nishad Maskara, Minh C. Tran, Hannes Pichler, Giulia Semeghini, Susanne F. Yelin, Soonwon Choi, Mikhail D. Lukin, “Enhancing Detection of Topological Order by Local Error Correction,” Nature Communications 15, 1527 (2024). doi.org/10.1038/s41467-024-45584-6.
  63. Eric R. Anschuetz, Hong-Ye Hu, Jin-Long Huang, and Xun Gao, “Interpretable Quantum Advantage in Neural Sequence Learning,” PRX Quantum 4, 020338 (2023). doi.org/10.1103/PRXQuantum.4.020338
  64. Penghua Chen, Bowen Yan, Shawn X. Cui, “Quantum circuits for toric code and X-cube fracton model,” arXiv:2210.01682. Accepted for publication in Quantum
  65. Paloma L. Ocola, Ivana Dimitrova, Brandon Grinkemeyer, Elmer Guardado-Sanchez, Tamara Dordevic, Polnop Samutpraphoot, Vladan Vuletic, Mikhail D. Lukin, “Control and Entanglement of Individual Rydberg Atoms Near a Nanoscale Device,” arXiv:2210.12879. 
  66. Marcin Kalinowski, Nishad Maskara, Mikhail D. Lukin, “Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator,” Physical Review X 13, 031008, doi:10.1103/PhysRevX.13.031008 (Jul 23 2023).
  67. Dorit Aharonov,  Xun Gao,  Zeph Landau,  Yunchao Liu,  Umesh Vazirani, “A polynomial-time classical algorithm for noisy random circuit sampling,” arXiv:2211.03999 STOC 2023: Proceedings of the 55th Annual ACM Symposium on Theory of Computing, pages 945-957 (2023). doi.org/10.1145/3564246.3585234.
  68. Rodrigo A. Bravo, Khadijeh Najafi, Taylor L. Patti, Xun Gao, and Susanne F. Yelin, Universal Quantum Perceptrons for Quantum Machine Learning, arXiv:2211.07075, Physical Review X 12 (2023), 021037.
  69. Xiuqi Ma, Ananth Malladi, Zongyuan Wang, Zhenghan Wang, Xie Chen, “Ground state degeneracy of the Ising cage-net model,” Physical Review B 107, 085123 (2023). doi.org/10.1103/PhysRevB.107.085123
  70. Liyuan Chen, Roy J. Garcia, Kaifeng Bu, Arthur Jaffe, “Magic of Random Matrix Product States,” arXiv:2211.10350.
  71. Po-Shen Hsin, Zhenghan Wang, “On Topology of the Moduli Space of Gapped Hamiltonians for Topological Phases,” Journal of Mathematical Physics 64, Issue 4 (2023). doi.org/10.1063/5.0136906
  72. Liam A. Cohen, Noah L. Samuelson, Taige Wang, Takashi Taniguchi, Kenji Watanabe, Michael P. Zaletel, Andrea F. Young, “Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact,” Science 382, No. 6670 (2023). doi.org/10.1126/science.adf9728. .
  73. Katherine Van Kirk, Jordan Cotler, Hsin-Yuan Huang, Mikhail D. Lukin, “Hardware-efficient learning of quantum many-body states,” arXiv:2212.06084.
  74. Jun Yang, “Correspondence between Verlinde Rings and Subfactors,” arXiv:2212.13214.
  75. Nora M. Bauer, Elias Kokkas, Victor Ale, George Siopsis, “Non-Abelian Anyons with Rydberg Atoms,” Phys. Rev. A, 107, 6, 062407, 9, doi:10.1103/PhysRevA.107.062407 (June 2023)
  76. Tim Campion, “Free duals and a new universal property for stable equivariant homotopy theory,” arXiv:2302.04207.
  77. Tianzhu Xiong, Kaifeng Bu, Quantum entropy reveals chromosomal disorder of ancestry tracts in genetic admixture, bioRxiv2023.
  78. Kaifeng Bu, Weichen Gu, Arthur Jaffe, “Quantum Entropy and Central Limit Theorem,” PNAS 120 (25) e2304589120 (2023) doi.org/10.1073/pnas.2304589120.
  79. Emily Riehl, “Could ¥-category theory be taught to undergraduates?” Notices of the American Mathematical Society 70 No. 5 (2023). doi.org/10.1090/noti2692.
  80. Kaifeng Bu, Weichen Gu, Arthur Jaffe, “Discrete Quantum Gaussians and Central Limit Theorem,” arXiv:2302.08423.
  81. Tim Campion, “Cubical sites as Eilenberg-Zilber categories,” arXiv:2303.06206.
  82. Simon J. Evered, Dolev Bluvstein, Marcin Kalinowski, Sepehr Ebadi, Tom Manovitz, Hengyun Zhou, Sophie H. Li, Alexandra A. Geim, Tout T. Wang, Nishad Maskara, Harry Levine, Giulia Semeghini, Markus Greiner, Vladan Vuletic, Mikhail D. Lukin, “High-fidelity parallel entangling gates on a neutral atom quantum computer,” arXiv:2304.05420.
  83. Tim Campion, Yuki Maehara, "A model-independent Gray tensor product for (∞, 2)-categories," arXiv:2304.05965. 
  84. Jun Yang, “Von Neumann Dimensions and Trace Formulas I: Limit Multiplicities,” arXiv:2306.02999.
  85. Kaifeng Bu, Weichen Gu, Arthur Jaffe, Stabilizer Testing and Magic Entropy, arXiv:2306.09292.
  86. Daniel Bochen Tan, Dolev Bluvstein, Mikhail D. Lukin, Jason Cong, “Compiling Quantum Circuits for Dynamically Field-Programmable Neutral Atoms Array Processors,” arXiv:2306.03487. 
  87. Tim Campion, Jinhe Ye, "Non-trivial higher homotopy of first-order theories," arXiv:2306.12011.
  88. Benjamin F. Schiffer, Dominik S. Wild, Nishad Maskara, Madelyn Cain, Mikhail D. Lukin, Rhine Samajdar, “Circumventing superexponential runtimes for hard instances of quantum adiabatic optimization,” arXiv:2306.13131.
  89. Bowen Yan, Penghua Chen, Shawn X. Cui, “Generalized Kitaev Spin Liquid model and Emergent Twist Defect”, arXiv:2308.06835.
  90. Nikolai Kudasov, Emily Riehl, Jonathan Weinberger, “Formalizing the ∞-Categorical Yoneda Lemma,” CPP 2024: Proceedings of the 13th ACM SIGPLAN International Conference on CertifiedPrograms and Proofs, January 2024, 274–290, doi.org/10.1145/3580429.
  91. Tim Campion, "An (∞, n)-categorical pasting theorem," arXiv:2311.00200.
  92. Tim Campion, "The Gray tensor product of (∞, n)-categories," arXiv:2311.00205.
  93. Nishad Maskara, Stefan Ostermann, James Shee, Marcin Kalinowski, Abigail McClain Gomez, Rodrigo Araiza Bravo, Derek S. Wang, Anna I. Krylov, Norman Y. Yao, Martin Head-Gordon, Mikhail D. Lukin, Susanne F. Yelin, “Programmable Simulations of Molecules and Materials with Reconfigurable Quantum Processors,” arXiv:2312.02265.
  94. Dolev Bluvstein, Simon J. Evered, Alexandra A. Geim, Sophie H. Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, J. Pablo Bonilla Ataides, Nishad Maskara, Iris Cong, Xun Gao, Pedro Sales Rodriguez, Thomas Karolyshyn, Giulia Semeghini, Michael J. Gullans, Markus Greiner, Vladan Vuletic, Mikhail D. Lukin, “Logical quantum processor based on reconfigurable atom arrays,” Nature 626, 58-65 (2024). doi.org/10.1038/s41586-023-06927-3.
  95. Adrian L. Kaufmann, Shawn X. Cui, “Universal topological quantum computing via double-braiding in SU(2) Witten-Chern-Simons theory”, arXiv:2312.16747
  96. Roy Garcia, Kaifeng Bu, Liyuan Chen, Anton Marius Graf, "Resource Theory of Non-Revivals with Applications to Quantum Many-Body Scars," arXiv:2401.10142.
  97. Kaifeng Bu, Arthur Jaffe, "Magic can enhance the quantum capacity of channels," arXiv:2401.12105.
  98. Robert Lin, Peter W. Shor, "A New Class of Algorithms for Finding Short Vectors in Lattices Lifted from Co-dimension k Codes," arXiv:2401.12383.
  99. Rahul Sahay, Mikhail D. Lukin, Jordan Cotler, “Emergent Holographic Forces from Tensor Networks and Critically,” arXiv:2401.13595.
  100. Kaifeng Bu, Weichen Gu, Arthur Jaffe, "Entropic Quantum Central Limit Theorem and Quantum Inverse Sumset Theorem," arXiv:2401.14385.
  101. Mathieu Anel, Jonathan Weinberger, "Smooth and proper maps," arXiv:2402.00331.
  102. Kaifeng Bu, Arthur Jaffe, Zixia Wei, "Magic Class and the Convolution Group," arXiv:2402.05780.
  103. Jun Yang, Von Neumann Dimensions and Trace Formulas II: A Jacquet-Langlands correspondence for Arithmetic Group Algebras in GL(2),” arXiv:2402.18488.
  104. Madelyn Cain, Chen Zhao, Hengyun Zhou, Nadine Meister, J. Pablo Bonilla Ataides, Arthur Jaffe, Dolev Bluvstein, and Mikhail D. Lukin, "Correlated decoding of logical algorithms with transversal gates," arxiv:2403.03272.
  105. Jonathan Weinberger, "Generalized Chevalley criteria in simplicial homotopy type theory," arXiv:2403.08190.  
  106. Kaifeng Bu, "Extremality of stabilizer states," arXiv:2403.13632.
  107. Matteo Capucci, Bruno Gavranović, Abdullah Malik, Francisco Rios, Jonathan Weinberger, "On a fibrational construction for optics, lenses, and Dialectica categories," arXiv:2403.1638.
  108. Jonathan Weinberger, "Internal sums for synthetic fibered (∞, 1)-categories," Journal of Pure and Applied Algebra, 228, issue 9, 107659, pp 1-52, 2024. doi.org/10.1016/j.jpaa.2024.107659.
  109. Liang Chang, Quinn T. Kolt, Zhenghan Wang, Qing Zhang, “Modular data of non-semisimple modular categories,” arXiv:2404.09314.
  110. Nora Bauer, Kübra Yeter-Aydeniz, Elias Kokkas, George Siopsis, “Solving Power Grid Optimization Problems with Rydberg Atoms,” arXiv:2404.11440.