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A recent quantum simulation of observables of the kicked Ising model on 127 qubits implemented circuits that exceed the capabilities of exact classical simulation.
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M. B. Hastings, Quantum belief propagation: An algorithm for thermal quantum systems, Phys. Rev. B 76
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I. L. Markov and Y. Shi, Simulating Quantum Computation by Contracting Tensor Networks, SIAM J. Comput. 38
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M. S. Leifer and D. Poulin, Quantum Graphical Models and Belief Propagation, Ann. Phys. (N. Y.) 323
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M. Mézard and A. Montanari, Information, Physics, and Computation (Oxford University Press, 2009)
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2016
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K. Temme, S. Bravyi, and J. M. Gambetta, Error mitigation for short-depth quantum circuits, Phys. Rev. Lett. 119
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R. S. Bennink, E. M. Ferragut, T. S. Humble, J. A. Laska, J. J. Nutaro, M. G. Pleszkoch, and R. C. Pooser, Unbiased simulation of near-Clifford quantum circuits, Phys. Rev. A 95
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A. Kshetrimayum, H. Weimer, and R. Orús, A simple tensor network algorithm for two-dimensional steady states, Nat. Commun. 8
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2018
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S. Bravyi, D. Browne, P. Calpin, E. Campbell, D. Gosset, and M. Howard, Simulation of quantum circuits by low-rank stabilizer decompositions, Quantum 3
2019
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P. Rall, D. Liang, J. Cook, and W. Kretschmer, Simulation of qubit quantum circuits via pauli propagation, Phys. Rev. A 99
2019
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H. Qassim, J. J. Wallman, and J. Emerson, Clifford recompilation for faster classical simulation of quantum circuits, Quantum 3
2019
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S. Iino, S. Morita, and N. Kawashima, Boundary Tensor Renormalization Group, Phys. Rev. B 100
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2023
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M. P. Zaletel and F. Pollmann, Isometric tensor network states in two dimensions, Phys. Rev. Lett. 124
2020
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Y. Wu, W.-S. Bao, S. Cao, F. Chen, M.-C. Chen, X. Chen, T.-H. Chung, H. Deng, Y. Du, D. Fan, M. Gong, C. Guo, C. Guo, S. Guo, L. Han, L. Hong, H.-L. Huang, Y.-H. Huo, L. Li, N. Li, S. Li, Y. Li, F. Liang, C. Lin, J. Lin, H. Qian, D. Qiao, H. Rong, H. Su, L. Sun, L. Wang, S. Wang, D. Wu, Y. Xu, K. Yan, W. Yang, Y. Yang, Y. Ye, J. Yin, C. Ying, J. Yu, C. Zha, C. Zhang, H. Zhang, K. Zhang, Y. Zhang, H. Zhao, Y. Zhao, L. Zhou, Q. Zhu, C.-Y. Lu, C.-Z. Peng, X. Zhu, and J.-W. Pan, Strong Quantum Computational Advantage Using a Superconducting Quantum Processor, Physical Review Letters 127
2021
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R. Alkabetz and I. Arad, Tensor Networks contraction and the Belief Propagation algorithm, Phys. Rev. Research 3
2021
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J. Gray and S. Kourtis, Hyper-optimized tensor network contraction, Quantum 5
2021
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F. Pan, K. Chen, and P. Zhang, Solving the Sampling Problem of the Sycamore Quantum Circuits, Physical Review Letters 129
2022
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2022
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T. Rakovszky, C. von Keyserlingk, and F. Pollmann, Dissipation-assisted operator evolution method for capturing hydrodynamic transport, Phys. Rev. B 105
2022
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N. A. Nemkov, E. O. Kiktenko, and A. K. Fedorov, Fourier expansion in variational quantum algorithms, Phys. Rev. A 108
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