Temperature and non-Markovian parameter estimation in quantum Brownian motion
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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_ | 1866909954054553600 |
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| author | Porto, João C. P. Vieira, Carlos H. S. da Paz, Irismar G. Dieguez, Pedro R. Marinho, Lucas S. |
| author_facet | Porto, João C. P. Vieira, Carlos H. S. da Paz, Irismar G. Dieguez, Pedro R. Marinho, Lucas S. |
| contents | We investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model, in which the system is linearly coupled to a reservoir of harmonic oscillators. Specifically, we use a position-momentum (PM) correlated Gaussian state as a probe to examine how memory effects influence the evolution of the system's covariance matrix in the weak coupling regime under both high- and low-temperature conditions. To confirm the presence of non-Markovian behavior, we apply two well-established non-Markovianity quantifiers. Furthermore, we estimate both the channel's sample temperature and its non-Markovianity witness parameter. Our results demonstrate that non-Markovianity and PM correlations can jointly be valuable resources to enhance metrological performance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Temperature and non-Markovian parameter estimation in quantum Brownian motion Porto, João C. P. Vieira, Carlos H. S. da Paz, Irismar G. Dieguez, Pedro R. Marinho, Lucas S. Quantum Physics We investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model, in which the system is linearly coupled to a reservoir of harmonic oscillators. Specifically, we use a position-momentum (PM) correlated Gaussian state as a probe to examine how memory effects influence the evolution of the system's covariance matrix in the weak coupling regime under both high- and low-temperature conditions. To confirm the presence of non-Markovian behavior, we apply two well-established non-Markovianity quantifiers. Furthermore, we estimate both the channel's sample temperature and its non-Markovianity witness parameter. Our results demonstrate that non-Markovianity and PM correlations can jointly be valuable resources to enhance metrological performance. |
| title | Temperature and non-Markovian parameter estimation in quantum Brownian motion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.08529 |