Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
Abstract The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence....
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| Format: | Article |
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Nature Portfolio
2017-04-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-017-01094-8 |
| _version_ | 1819036064814202880 |
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| author | Dong Wang Ai-Jun Huang Ross D. Hoehn Fei Ming Wen-Yang Sun Jia-Dong Shi Liu Ye Sabre Kais |
| author_facet | Dong Wang Ai-Jun Huang Ross D. Hoehn Fei Ming Wen-Yang Sun Jia-Dong Shi Liu Ye Sabre Kais |
| author_sort | Dong Wang |
| collection | DOAJ |
| description | Abstract The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence. Here, we investigate the dynamic behaviors of the entropic uncertainty relation of an atom-cavity interacting system under a bosonic reservoir during the crossover between Markovian and non-Markovian regimes. Specifically, we explore the dynamic behavior of the entropic uncertainty relation for a pair of incompatible observables under the reservoir-induced atomic decay effect both with and without quantum memory. We find that the uncertainty dramatically depends on both the atom-cavity and the cavity-reservoir interactions, as well as the correlation time, τ, of the structured reservoir. Furthermore, we verify that the uncertainty is anti-correlated with the purity of the state of the observed qubit-system. We also propose a remarkably simple and efficient way to reduce the uncertainty by utilizing quantum weak measurement reversal. Therefore our work offers a new insight into the uncertainty dynamics for multi-component measurements within an open system, and is thus important for quantum precision measurements. |
| first_indexed | 2024-12-21T07:59:35Z |
| format | Article |
| id | doaj.art-cb30cd1f7ee149d694d2d8da077eb32b |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-21T07:59:35Z |
| publishDate | 2017-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-cb30cd1f7ee149d694d2d8da077eb32b2022-12-21T19:10:56ZengNature PortfolioScientific Reports2045-23222017-04-017111110.1038/s41598-017-01094-8Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoirDong Wang0Ai-Jun Huang1Ross D. Hoehn2Fei Ming3Wen-Yang Sun4Jia-Dong Shi5Liu Ye6Sabre Kais7School of Physics & Material Science, Anhui UniversitySchool of Physics & Material Science, Anhui UniversityDepartment of Chemistry, Department of Physics and Birck Nanotechnology Center, Purdue UniversitySchool of Physics & Material Science, Anhui UniversitySchool of Physics & Material Science, Anhui UniversitySchool of Physics & Material Science, Anhui UniversitySchool of Physics & Material Science, Anhui UniversityDepartment of Chemistry, Department of Physics and Birck Nanotechnology Center, Purdue UniversityAbstract The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence. Here, we investigate the dynamic behaviors of the entropic uncertainty relation of an atom-cavity interacting system under a bosonic reservoir during the crossover between Markovian and non-Markovian regimes. Specifically, we explore the dynamic behavior of the entropic uncertainty relation for a pair of incompatible observables under the reservoir-induced atomic decay effect both with and without quantum memory. We find that the uncertainty dramatically depends on both the atom-cavity and the cavity-reservoir interactions, as well as the correlation time, τ, of the structured reservoir. Furthermore, we verify that the uncertainty is anti-correlated with the purity of the state of the observed qubit-system. We also propose a remarkably simple and efficient way to reduce the uncertainty by utilizing quantum weak measurement reversal. Therefore our work offers a new insight into the uncertainty dynamics for multi-component measurements within an open system, and is thus important for quantum precision measurements.https://doi.org/10.1038/s41598-017-01094-8 |
| spellingShingle | Dong Wang Ai-Jun Huang Ross D. Hoehn Fei Ming Wen-Yang Sun Jia-Dong Shi Liu Ye Sabre Kais Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir Scientific Reports |
| title | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir |
| title_full | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir |
| title_fullStr | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir |
| title_full_unstemmed | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir |
| title_short | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir |
| title_sort | entropic uncertainty relations for markovian and non markovian processes under a structured bosonic reservoir |
| url | https://doi.org/10.1038/s41598-017-01094-8 |
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