Matrix Product States in Quantum Spin Chains
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910687102500864 |
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| author | Souissi, Abdessatar Andolsi, Amenallah |
| author_facet | Souissi, Abdessatar Andolsi, Amenallah |
| contents | In this work, we present a novel representation of matrix product states (MPS) within the framework of quasi-local algebras. By introducing an enhanced compatibility condition, we enable the extension of finite MPS to an infinite-volume state, providing new insights into complex, high-dimensional quantum systems. As an illustrative example, we apply this method to the Greenberger-Horne-Zeilinger (GHZ) state. This approach offers significant potential for advancing theoretical frameworks and practical methodologies in the field of quantum information. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04149 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Matrix Product States in Quantum Spin Chains Souissi, Abdessatar Andolsi, Amenallah Quantum Physics In this work, we present a novel representation of matrix product states (MPS) within the framework of quasi-local algebras. By introducing an enhanced compatibility condition, we enable the extension of finite MPS to an infinite-volume state, providing new insights into complex, high-dimensional quantum systems. As an illustrative example, we apply this method to the Greenberger-Horne-Zeilinger (GHZ) state. This approach offers significant potential for advancing theoretical frameworks and practical methodologies in the field of quantum information. |
| title | Matrix Product States in Quantum Spin Chains |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.04149 |