Simulating quantum circuits using the multi-scale entanglement renormalization ansatz
Understanding the limiting capabilities of classical methods in simulating complex quantum systems is of paramount importance for quantum technologies. Although many advanced approaches have been proposed and recently used to challenge quantum advantage experiments, novel efficient methods for the a...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013063 |
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| _version_ | 1841526687445024768 |
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| author | A. V. Berezutskii I. A. Luchnikov A. K. Fedorov |
| author_facet | A. V. Berezutskii I. A. Luchnikov A. K. Fedorov |
| author_sort | A. V. Berezutskii |
| collection | DOAJ |
| description | Understanding the limiting capabilities of classical methods in simulating complex quantum systems is of paramount importance for quantum technologies. Although many advanced approaches have been proposed and recently used to challenge quantum advantage experiments, novel efficient methods for the approximate simulation of complex quantum systems are still in high demand. Here, we propose a scalable technique for approximate simulations of intermediate-size quantum circuits on the basis of the multi-scale entanglement renormalization ansatz (MERA) and Riemannian optimization. The MERA is a tensor network, whose geometry together with orthogonality constraints imposed on its tensors allow approximating many-body quantum states lying beyond the area-law scaling of the entanglement entropy. We benchmark the proposed technique for brick-wall quantum circuits of up to 243 qubits with various depths up to 20 layers. Our approach paves a way to exploring efficient simulation techniques for quantum many-body systems. |
| format | Article |
| id | doaj-art-e8252b12532f42ff8c574c8ec5d02926 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-e8252b12532f42ff8c574c8ec5d029262025-01-16T15:06:52ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101306310.1103/PhysRevResearch.7.013063Simulating quantum circuits using the multi-scale entanglement renormalization ansatzA. V. BerezutskiiI. A. LuchnikovA. K. FedorovUnderstanding the limiting capabilities of classical methods in simulating complex quantum systems is of paramount importance for quantum technologies. Although many advanced approaches have been proposed and recently used to challenge quantum advantage experiments, novel efficient methods for the approximate simulation of complex quantum systems are still in high demand. Here, we propose a scalable technique for approximate simulations of intermediate-size quantum circuits on the basis of the multi-scale entanglement renormalization ansatz (MERA) and Riemannian optimization. The MERA is a tensor network, whose geometry together with orthogonality constraints imposed on its tensors allow approximating many-body quantum states lying beyond the area-law scaling of the entanglement entropy. We benchmark the proposed technique for brick-wall quantum circuits of up to 243 qubits with various depths up to 20 layers. Our approach paves a way to exploring efficient simulation techniques for quantum many-body systems.http://doi.org/10.1103/PhysRevResearch.7.013063 |
| spellingShingle | A. V. Berezutskii I. A. Luchnikov A. K. Fedorov Simulating quantum circuits using the multi-scale entanglement renormalization ansatz Physical Review Research |
| title | Simulating quantum circuits using the multi-scale entanglement renormalization ansatz |
| title_full | Simulating quantum circuits using the multi-scale entanglement renormalization ansatz |
| title_fullStr | Simulating quantum circuits using the multi-scale entanglement renormalization ansatz |
| title_full_unstemmed | Simulating quantum circuits using the multi-scale entanglement renormalization ansatz |
| title_short | Simulating quantum circuits using the multi-scale entanglement renormalization ansatz |
| title_sort | simulating quantum circuits using the multi scale entanglement renormalization ansatz |
| url | http://doi.org/10.1103/PhysRevResearch.7.013063 |
| work_keys_str_mv | AT avberezutskii simulatingquantumcircuitsusingthemultiscaleentanglementrenormalizationansatz AT ialuchnikov simulatingquantumcircuitsusingthemultiscaleentanglementrenormalizationansatz AT akfedorov simulatingquantumcircuitsusingthemultiscaleentanglementrenormalizationansatz |