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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
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Many-body wave functions can be described effectively by local tensors in matrix product states and projected entangled pair states. This article reviews how these theories provide not only numerical methods but also insights of a more fundamental nature into the structures of states with global entanglement patterns and topological quantum order.
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Beyond-classical computation in quantum simulation
King, A. D., Nocera, A., Rams, M. M., Dziarmaga, J., Wiersema, R., Bernoudy, W., Raymond, J., Kaushal, N., Heinsdorf, N., Harris, R., et al. (2025) · Science · doi:10.1126/science.ado6285 · Cited by 138
Measurement as a Shortcut to Long-Range Entangled Quantum Matter
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Variational benchmarks for quantum many-body problems
Wu, D., Rossi, R., Vicentini, F., Astrakhantsev, N., Becca, F., Cao, X., Carrasquilla, J., Ferrari, F., Georges, A., Hibat-Allah, M., et al. (2024) · Science · doi:10.1126/science.adg9774 · Cited by 79
Myung, C. W., Hajibabaei, A., Cha, J., Ha, M., Kim, J., & Kim, K. S. (2022) · Advanced Energy Materials · doi:10.1002/aenm.202202279 · Cited by 54
Metadata
- Authors
- Cirac, J. I., Pérez-García, D., Schuch, N., & Verstraete, F.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2021-12-17
- Volume
- 93
- Issue
- 4
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W4200400528
- Cited by
- 769
- References
- 328
- FWCI
- 45.71
- Type
- journal article
- Language
- en
- Open access
- bronze
- Funders
- Horizon 2020 Framework Programme (636201 (WASCOSYS), 647905 (QUTE), 648913 (GAPS), 742102 (QENOCOBA), 863476 (SEQUAM))
- Deutsche Forschungsgemeinschaft (EXC2111-390814868)
- Agencia Estatal de Investigación (CEX2019-000904-S)
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- Cirac, J. I., Pérez-García, D., Schuch, N., & Verstraete, F. (2021). Matrix product states and projected entangled pair states: Concepts, symmetries, theorems. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.93.045003
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