Quantum-classical eigensolver using multiscale entanglement renormalization
We propose a variational quantum eigensolver (VQE) for the simulation of strongly correlated quantum matter based on a multiscale entanglement renormalization ansatz (MERA) and gradient-based optimization. This MERA quantum eigensolver can have substantially lower computation costs than correspondin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.033141 |
| _version_ | 1797210383941894144 |
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| author | Qiang Miao Thomas Barthel |
| author_facet | Qiang Miao Thomas Barthel |
| author_sort | Qiang Miao |
| collection | DOAJ |
| description | We propose a variational quantum eigensolver (VQE) for the simulation of strongly correlated quantum matter based on a multiscale entanglement renormalization ansatz (MERA) and gradient-based optimization. This MERA quantum eigensolver can have substantially lower computation costs than corresponding classical algorithms. Due to its narrow causal cone, the algorithm can be implemented on noisy intermediate-scale quantum (NISQ) devices and still describe large systems. It is particularly attractive for ion-trap devices with ion-shuttling capabilities. The number of required qubits is system-size independent and increases only to a logarithmic scaling when using quantum amplitude estimation to speed up gradient evaluations. Translation invariance can be used to make computation costs square-logarithmic in the system size and describe the thermodynamic limit. We demonstrate the approach numerically for a MERA with Trotterized disentanglers and isometries. With a few Trotter steps, one recovers the accuracy of the full MERA. |
| first_indexed | 2024-04-24T10:09:44Z |
| format | Article |
| id | doaj.art-8c707f8888b148fdaecf5fc3bbf1f350 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:44Z |
| publishDate | 2023-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-8c707f8888b148fdaecf5fc3bbf1f3502024-04-12T17:33:38ZengAmerican Physical SocietyPhysical Review Research2643-15642023-08-015303314110.1103/PhysRevResearch.5.033141Quantum-classical eigensolver using multiscale entanglement renormalizationQiang MiaoThomas BarthelWe propose a variational quantum eigensolver (VQE) for the simulation of strongly correlated quantum matter based on a multiscale entanglement renormalization ansatz (MERA) and gradient-based optimization. This MERA quantum eigensolver can have substantially lower computation costs than corresponding classical algorithms. Due to its narrow causal cone, the algorithm can be implemented on noisy intermediate-scale quantum (NISQ) devices and still describe large systems. It is particularly attractive for ion-trap devices with ion-shuttling capabilities. The number of required qubits is system-size independent and increases only to a logarithmic scaling when using quantum amplitude estimation to speed up gradient evaluations. Translation invariance can be used to make computation costs square-logarithmic in the system size and describe the thermodynamic limit. We demonstrate the approach numerically for a MERA with Trotterized disentanglers and isometries. With a few Trotter steps, one recovers the accuracy of the full MERA.http://doi.org/10.1103/PhysRevResearch.5.033141 |
| spellingShingle | Qiang Miao Thomas Barthel Quantum-classical eigensolver using multiscale entanglement renormalization Physical Review Research |
| title | Quantum-classical eigensolver using multiscale entanglement renormalization |
| title_full | Quantum-classical eigensolver using multiscale entanglement renormalization |
| title_fullStr | Quantum-classical eigensolver using multiscale entanglement renormalization |
| title_full_unstemmed | Quantum-classical eigensolver using multiscale entanglement renormalization |
| title_short | Quantum-classical eigensolver using multiscale entanglement renormalization |
| title_sort | quantum classical eigensolver using multiscale entanglement renormalization |
| url | http://doi.org/10.1103/PhysRevResearch.5.033141 |
| work_keys_str_mv | AT qiangmiao quantumclassicaleigensolverusingmultiscaleentanglementrenormalization AT thomasbarthel quantumclassicaleigensolverusingmultiscaleentanglementrenormalization |