Quantum speed limit under decoherence: unitary, dissipative, and fluctuation contributions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912462333280256 |
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| author | Kobayashi, Kohei |
| author_facet | Kobayashi, Kohei |
| contents | We derive a new quantum speed limit (QSL) for open quantum systems governed by Markovian dynamics. By analyzing the time derivative of the Bures angle between the initial pure state and its time-evolved state, we obtain an analytically computable upper bound on the evolution speed that decomposes into three distinct physical contributions; coherent unitary dynamics, dissipative deformation, and a fluctuation term. Based on this structure, we establish a general inequality that connects the QSL to the Quantum Fisher information in the short-time regime. This result gives a fundamental trade-off between the distinguishability between speed and estimation precision, and clarifies how decoherence can both accelerate and constrain information acquisition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum speed limit under decoherence: unitary, dissipative, and fluctuation contributions Kobayashi, Kohei Quantum Physics We derive a new quantum speed limit (QSL) for open quantum systems governed by Markovian dynamics. By analyzing the time derivative of the Bures angle between the initial pure state and its time-evolved state, we obtain an analytically computable upper bound on the evolution speed that decomposes into three distinct physical contributions; coherent unitary dynamics, dissipative deformation, and a fluctuation term. Based on this structure, we establish a general inequality that connects the QSL to the Quantum Fisher information in the short-time regime. This result gives a fundamental trade-off between the distinguishability between speed and estimation precision, and clarifies how decoherence can both accelerate and constrain information acquisition. |
| title | Quantum speed limit under decoherence: unitary, dissipative, and fluctuation contributions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.02501 |