A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913092083908608 |
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| author | Iyengar, Srinivasan S. Kumar, Anup Saha, Debadrita Sabry, Amr |
| author_facet | Iyengar, Srinivasan S. Kumar, Anup Saha, Debadrita Sabry, Amr |
| contents | We describe a general formalism for quantum dynamics and show how this formalism subsumes several quantum algorithms including the Deutsch, Deutsch-Jozsa, Bernstein-Vazirani, Simon, and Shor algorithms as well as the conventional approach to quantum dynamics based on tensor networks. The common framework exposes similarities among quantum algorithms and natural quantum phenomena: we illustrate this connection by showing how the correlated behavior of protons in water wire systems that are common in many biological and materials systems parallels the structure of Shor's algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_12931 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics Iyengar, Srinivasan S. Kumar, Anup Saha, Debadrita Sabry, Amr Quantum Physics Mathematical Physics Number Theory We describe a general formalism for quantum dynamics and show how this formalism subsumes several quantum algorithms including the Deutsch, Deutsch-Jozsa, Bernstein-Vazirani, Simon, and Shor algorithms as well as the conventional approach to quantum dynamics based on tensor networks. The common framework exposes similarities among quantum algorithms and natural quantum phenomena: we illustrate this connection by showing how the correlated behavior of protons in water wire systems that are common in many biological and materials systems parallels the structure of Shor's algorithm. |
| title | A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics |
| topic | Quantum Physics Mathematical Physics Number Theory |
| url | https://arxiv.org/abs/2212.12931 |