On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909513320235008 |
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| author | Sigal, Israel Michael Wu, Xiaoxu |
| author_facet | Sigal, Israel Michael Wu, Xiaoxu |
| contents | We revisit key notions related to the evolution of quantum information in few-body quantum mechanics (fbQM) and, for a wide class of dispersion relations, prove uniform bounds on the maximal speed of propagation of quantum information for states and observables with exponential error bounds. Our results imply, in particular, a fbQM version of the Lieb-Robinson bound, which is known to have wide applications in quantum information sciences. We propose a novel approach to proving maximal speed bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds Sigal, Israel Michael Wu, Xiaoxu Quantum Physics Mathematical Physics 35Q40 (primary), 81P45 (secondary) We revisit key notions related to the evolution of quantum information in few-body quantum mechanics (fbQM) and, for a wide class of dispersion relations, prove uniform bounds on the maximal speed of propagation of quantum information for states and observables with exponential error bounds. Our results imply, in particular, a fbQM version of the Lieb-Robinson bound, which is known to have wide applications in quantum information sciences. We propose a novel approach to proving maximal speed bounds. |
| title | On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds |
| topic | Quantum Physics Mathematical Physics 35Q40 (primary), 81P45 (secondary) |
| url | https://arxiv.org/abs/2409.01473 |