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A ubiquitous problem in quantum physics is to understand the ground-state properties of many-body systems.
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K. F. Pál and T. Vértesi, Quantum bounds on bell inequalities, Physical Review A 79
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X. Han, S. A. Hartnoll, and J. Kruthoff, Bootstrapping matrix quantum mechanics, Phys. Rev. Lett. 125
2020
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F. Ferrari and F. Becca, Gapless spin liquid and valence-bond solid in the J 1 {J}_{1} - J 2 {J}_{2} heisenberg model on the square lattice: Insights from singlet and triplet excitations, Phys. Rev. B 102
2020
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J. I. Cirac, D. Pérez-Garc\́hbox{\bf{i}}a, N. Schuch, and F. Verstraete, Matrix product states and projected entangled pair states: Concepts, symmetries, theorems, Rev. Mod. Phys. 93
2021
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Y. Nomura and M. Imada, Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy, Phys. Rev. X 11
2021
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I. Klep, V. Magron, and J. Povh, Sparse noncommutative polynomial optimization, Mathematical Programming , 1 (2021)
2021
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J. Wang, V. Magron, and J.-B. Lasserre, TSSOS: A moment-SOS hierarchy that exploits term sparsity, SIAM Journal on optimization 31
2021
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W.-Y. Liu, S.-S. Gong, Y.-B. Li, D. Poilblanc, W.-Q. Chen, and Z.-C. Gu, Gapless quantum spin liquid and global phase diagram of the spin-1/2 j1-j2 square antiferromagnetic heisenberg model, Science Bulletin 67
2022
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2022
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2022
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2023
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B. Requena, G. Muñoz Gil, M. Lewenstein, V. Dunjko, and J. Tura, Certificates of quantum many-body properties assisted by machine learning, Phys. Rev. Res. 5
2023
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V. Magron and J. Wang, Sparse polynomial optimization: theory and practice (World Scientific, 2023)
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T. Hrga, I. Klep, and J. Povh, Certifying optimality of bell inequality violations: Noncommutative polynomial optimization through semidefinite programming and local optimization (2023), preprint https://users.fmf.uni-lj.si/klep/Hrga_Klep_Povh_v2.pdf
2023
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