Quantum Speed Limits Based on the Sharma-Mittal Entropy
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909978627932160 |
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| author | Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming |
| author_facet | Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming |
| contents | Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to finite-dimensional systems evolving under general nonunitary dynamics. In the single-qubit case, the QSLs for both quantum channels and non-Hermitian dynamics are analyzed in detail. For many-body systems, we explore the role of SME-based bounds in characterizing the reduced dynamics and apply the results to the XXZ spin chain model. These entropy-based QSLs characterize fundamental limits on quantum evolution speeds and may be employed in contexts including entropic uncertainty relations, quantum metrology, coherent control and quantum sensing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Speed Limits Based on the Sharma-Mittal Entropy Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming Quantum Physics Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to finite-dimensional systems evolving under general nonunitary dynamics. In the single-qubit case, the QSLs for both quantum channels and non-Hermitian dynamics are analyzed in detail. For many-body systems, we explore the role of SME-based bounds in characterizing the reduced dynamics and apply the results to the XXZ spin chain model. These entropy-based QSLs characterize fundamental limits on quantum evolution speeds and may be employed in contexts including entropic uncertainty relations, quantum metrology, coherent control and quantum sensing. |
| title | Quantum Speed Limits Based on the Sharma-Mittal Entropy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.24070 |