Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
<p dir="ltr">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 suffe...
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2017
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| _version_ | 1864513556582498304 |
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| author | Dong Wang (73290) |
| author2 | Ai-Jun Huang (17686386) Ross D. Hoehn (1836382) Fei Ming (9581589) Wen-Yang Sun (19725391) Jia-Dong Shi (19725394) Liu Ye (1414804) Sabre Kais (1409968) |
| author2_role | author author author author author author author |
| author_facet | Dong Wang (73290) Ai-Jun Huang (17686386) Ross D. Hoehn (1836382) Fei Ming (9581589) Wen-Yang Sun (19725391) Jia-Dong Shi (19725394) Liu Ye (1414804) Sabre Kais (1409968) |
| author_role | author |
| dc.creator.none.fl_str_mv | Dong Wang (73290) Ai-Jun Huang (17686386) Ross D. Hoehn (1836382) Fei Ming (9581589) Wen-Yang Sun (19725391) Jia-Dong Shi (19725394) Liu Ye (1414804) Sabre Kais (1409968) |
| dc.date.none.fl_str_mv | 2017-04-21T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1038/s41598-017-01094-8 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Entropic_uncertainty_relations_for_Markovian_and_non-Markovian_processes_under_a_structured_bosonic_reservoir/27088009 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Mathematical physics Uncertainty relation Quantum mechanics Quantum information processing Decoherence Entropic uncertainty |
| dc.title.none.fl_str_mv | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">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, <i>τ</i>, 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Scientific Reports<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1038/s41598-017-01094-8" target="_blank">https://dx.doi.org/10.1038/s41598-017-01094-8</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_e6464148165d31ff30faf17d9334e8be |
| identifier_str_mv | 10.1038/s41598-017-01094-8 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/27088009 |
| publishDate | 2017 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoirDong Wang (73290)Ai-Jun Huang (17686386)Ross D. Hoehn (1836382)Fei Ming (9581589)Wen-Yang Sun (19725391)Jia-Dong Shi (19725394)Liu Ye (1414804)Sabre Kais (1409968)Mathematical sciencesMathematical physicsUncertainty relationQuantum mechanicsQuantum information processingDecoherenceEntropic uncertainty<p dir="ltr">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, <i>τ</i>, 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Scientific Reports<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1038/s41598-017-01094-8" target="_blank">https://dx.doi.org/10.1038/s41598-017-01094-8</a></p>2017-04-21T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1038/s41598-017-01094-8https://figshare.com/articles/journal_contribution/Entropic_uncertainty_relations_for_Markovian_and_non-Markovian_processes_under_a_structured_bosonic_reservoir/27088009CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/270880092017-04-21T03:00:00Z |
| spellingShingle | Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir Dong Wang (73290) Mathematical sciences Mathematical physics Uncertainty relation Quantum mechanics Quantum information processing Decoherence Entropic uncertainty |
| status_str | publishedVersion |
| 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 |
| topic | Mathematical sciences Mathematical physics Uncertainty relation Quantum mechanics Quantum information processing Decoherence Entropic uncertainty |