Hybrid ground-state quantum algorithms based on neural Schrödinger forging
Entanglement forging based variational algorithms leverage the bipartition of quantum systems for addressing ground-state problems. The primary limitation of these approaches lies in the exponential summation required over the numerous potential basis states, or bitstrings, when performing the Schmi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.023021 |
| _version_ | 1797210232080826368 |
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| author | Paulin de Schoulepnikoff Oriel Kiss Sofia Vallecorsa Giuseppe Carleo Michele Grossi |
| author_facet | Paulin de Schoulepnikoff Oriel Kiss Sofia Vallecorsa Giuseppe Carleo Michele Grossi |
| author_sort | Paulin de Schoulepnikoff |
| collection | DOAJ |
| description | Entanglement forging based variational algorithms leverage the bipartition of quantum systems for addressing ground-state problems. The primary limitation of these approaches lies in the exponential summation required over the numerous potential basis states, or bitstrings, when performing the Schmidt decomposition of the whole system. To overcome this challenge, we propose a method for entanglement forging employing generative neural networks to identify the most pertinent bitstrings, eliminating the need for the exponential sum. Through empirical demonstrations on systems of increasing complexity, we show that the proposed algorithm achieves comparable or superior performance compared to the existing standard implementation of entanglement forging. Moreover, by controlling the amount of required resources, this scheme can be applied to larger as well as non-permutation-invariant systems, where the latter constraint is associated with the Heisenberg forging procedure. We substantiate our findings through numerical simulations conducted on spin models exhibiting one-dimensional rings, two-dimensional triangular lattice topologies, and nuclear shell model configurations. |
| first_indexed | 2024-04-24T10:07:19Z |
| format | Article |
| id | doaj.art-5dc7494a6be742da9cd911037457aa18 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:07:19Z |
| publishDate | 2024-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5dc7494a6be742da9cd911037457aa182024-04-12T17:41:11ZengAmerican Physical SocietyPhysical Review Research2643-15642024-04-016202302110.1103/PhysRevResearch.6.023021Hybrid ground-state quantum algorithms based on neural Schrödinger forgingPaulin de SchoulepnikoffOriel KissSofia VallecorsaGiuseppe CarleoMichele GrossiEntanglement forging based variational algorithms leverage the bipartition of quantum systems for addressing ground-state problems. The primary limitation of these approaches lies in the exponential summation required over the numerous potential basis states, or bitstrings, when performing the Schmidt decomposition of the whole system. To overcome this challenge, we propose a method for entanglement forging employing generative neural networks to identify the most pertinent bitstrings, eliminating the need for the exponential sum. Through empirical demonstrations on systems of increasing complexity, we show that the proposed algorithm achieves comparable or superior performance compared to the existing standard implementation of entanglement forging. Moreover, by controlling the amount of required resources, this scheme can be applied to larger as well as non-permutation-invariant systems, where the latter constraint is associated with the Heisenberg forging procedure. We substantiate our findings through numerical simulations conducted on spin models exhibiting one-dimensional rings, two-dimensional triangular lattice topologies, and nuclear shell model configurations.http://doi.org/10.1103/PhysRevResearch.6.023021 |
| spellingShingle | Paulin de Schoulepnikoff Oriel Kiss Sofia Vallecorsa Giuseppe Carleo Michele Grossi Hybrid ground-state quantum algorithms based on neural Schrödinger forging Physical Review Research |
| title | Hybrid ground-state quantum algorithms based on neural Schrödinger forging |
| title_full | Hybrid ground-state quantum algorithms based on neural Schrödinger forging |
| title_fullStr | Hybrid ground-state quantum algorithms based on neural Schrödinger forging |
| title_full_unstemmed | Hybrid ground-state quantum algorithms based on neural Schrödinger forging |
| title_short | Hybrid ground-state quantum algorithms based on neural Schrödinger forging |
| title_sort | hybrid ground state quantum algorithms based on neural schrodinger forging |
| url | http://doi.org/10.1103/PhysRevResearch.6.023021 |
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