Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature
We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining the contour representation of quantum spin systems o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-10-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-10-25-1155/pdf/ |
| _version_ | 1797649922530476032 |
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| author | Tyler Helmuth Ryan L. Mann |
| author_facet | Tyler Helmuth Ryan L. Mann |
| author_sort | Tyler Helmuth |
| collection | DOAJ |
| description | We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining the contour representation of quantum spin systems of this type due to Borgs, Kotecký, and Ueltschi with the algorithmic framework developed by Helmuth, Perkins, and Regts, and Borgs et al. |
| first_indexed | 2024-03-11T15:54:06Z |
| format | Article |
| id | doaj.art-8951f539e32d47f8baf1b24bdb318366 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-11T15:54:06Z |
| publishDate | 2023-10-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-8951f539e32d47f8baf1b24bdb3183662023-10-25T13:16:49ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-10-017115510.22331/q-2023-10-25-115510.22331/q-2023-10-25-1155Efficient Algorithms for Approximating Quantum Partition Functions at Low TemperatureTyler HelmuthRyan L. MannWe establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining the contour representation of quantum spin systems of this type due to Borgs, Kotecký, and Ueltschi with the algorithmic framework developed by Helmuth, Perkins, and Regts, and Borgs et al.https://quantum-journal.org/papers/q-2023-10-25-1155/pdf/ |
| spellingShingle | Tyler Helmuth Ryan L. Mann Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature Quantum |
| title | Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature |
| title_full | Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature |
| title_fullStr | Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature |
| title_full_unstemmed | Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature |
| title_short | Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature |
| title_sort | efficient algorithms for approximating quantum partition functions at low temperature |
| url | https://quantum-journal.org/papers/q-2023-10-25-1155/pdf/ |
| work_keys_str_mv | AT tylerhelmuth efficientalgorithmsforapproximatingquantumpartitionfunctionsatlowtemperature AT ryanlmann efficientalgorithmsforapproximatingquantumpartitionfunctionsatlowtemperature |