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Density Matrix Renormalization Group (DMRG) or Matrix Product States (MPS) are widely acknowledged as highly effective and accurate methods for solving one-dimensional quantum many-body systems.
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A. D. Córcoles, J. M. Gambetta, J. M. Chow, J. A. Smolin, M. Ware, J. Strand, B. L. T. Plourde, and M. Steffen, Process verification of two-qubit quantum gates by randomized benchmarking, Phys. Rev. A 87
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M. C. Bañuls, Tensor Network Algorithms: A Route Map—, Annual Review of Condensed Matter Physics 14
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T. Xiang, Density Matrix and Tensor Network Renormalization (Cambridge University Press, 2023)
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X. Qian and M. Qin, Augmenting Density Matrix Renormalization Group with Disentanglers, Chinese Physics Letters 40
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2013
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R. Orús, A practical introduction to Tensor Networks: Matrix product states and projected entangled pair states, Annals of Physics 349
2014
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Z. Y. Xie, J. Chen, J. F. Yu, X. Kong, B. Normand, and T. Xiang, Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States, Phys. Rev. X 4
2014
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C. Chamon, A. Hamma, and E. R. Mucciolo, Emergent Irreversibility and Entanglement Spectrum Statistics, Phys. Rev. Lett. 112
2014
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R. Koenig and J. A. Smolin, How to efficiently select an arbitrary Clifford group element, Journal of Mathematical Physics 55
2014
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J. P. F. LeBlanc, A. E. Antipov, F. Becca, I. W. Bulik, G. K.-L. Chan, C.-M. Chung, Y. Deng, M. Ferrero, T. M. Henderson, C. A. Jiménez-Hoyos, E. Kozik, X.-W. Liu, A. J. Millis, N. V. Prokofév, M. Qin, G. E. Scuseria, H. Shi, B. V. Svistunov, L. F. Tocchio, I. S. Tupitsyn, S. R. White, S. Zhang, B.-X. Zheng, Z. Zhu, and E. Gull (Simons Collaboration on the Many-Electron Problem), Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms, Phys. Rev. X 5
2015
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E. C. Marino, Quantum Field Theory Approach to Condensed Matter Physics (Cambridge University Press, Cambridge, 2017)
2017
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Y. Li, X. Chen, and M. P. A. Fisher, Measurement-driven entanglement transition in hybrid quantum circuits, Phys. Rev. B 100
2019
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R. V. Mishmash, T. P. Gujarati, M. Motta, H. Zhai, G. K.-L. Chan, and A. Mezzacapo, Hierarchical Clifford Transformations to Reduce Entanglement in Quantum Chemistry Wave Functions, Journal of Chemical Theory and Computation 19
2023
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Y. Mitsuhashi and N. Yoshioka, Clifford Group and Unitary Designs under Symmetry, PRX Quantum 4
2023
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A. Ahmadi and E. Greplova, Quantifying Non-stabilizerness via information scrambling, SciPost Phys. 16
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