Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems
<p>We investigate generalized Bell tests in phase space for continuous variables that can be used to certify quantum states and witness the dimension of a given state. Our so-called s -parametrized observables in the Bell tests correspond to measuring excitation (photon) -number distribution i...
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2023
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| _version_ | 1864513528776359936 |
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| author | Arijit Dutta (10951245) |
| author2 | Seung-Woo Lee (546107) Hyunchul Nha (17871053) |
| author2_role | author author |
| author_facet | Arijit Dutta (10951245) Seung-Woo Lee (546107) Hyunchul Nha (17871053) |
| author_role | author |
| dc.creator.none.fl_str_mv | Arijit Dutta (10951245) Seung-Woo Lee (546107) Hyunchul Nha (17871053) |
| dc.date.none.fl_str_mv | 2023-05-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.optcom.2023.129322 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Certifying_quantum_state_and_dimension_via_phase-space_Bell_tests_for_continuous_variable_systems/25108442 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Engineering Electrical engineering Electronics, sensors and digital hardware Physical sciences Atomic, molecular and optical physics Bell inequality Dimension witness State certification Continuous variable |
| dc.title.none.fl_str_mv | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>We investigate generalized Bell tests in phase space for continuous variables that can be used to certify quantum states and witness the dimension of a given state. Our so-called s -parametrized observables in the Bell tests correspond to measuring excitation (photon) -number distribution in conjunction with phase-space displacements. Specifically, we study three practically important classes of states broadly, i.e. two-mode squeezed states, entangled coherent states and general entangled state with bounded photon numbers. We obtain the degree of optimal violation of Bell tests for each class, which enables us to certify a quantum state yielding a maximal violation. Furthermore, our analysis also makes it possible to witness the dimension of a quantum state, i.e. the photon number, by obtaining the bound of Bell violation for a different total photon number.</p><h2>Other Information</h2> <p> Published in: Optics Communications<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.optcom.2023.129322" target="_blank">https://dx.doi.org/10.1016/j.optcom.2023.129322</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_7cfff496e32a089afb855f3efbb1f05d |
| identifier_str_mv | 10.1016/j.optcom.2023.129322 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25108442 |
| publishDate | 2023 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systemsArijit Dutta (10951245)Seung-Woo Lee (546107)Hyunchul Nha (17871053)EngineeringElectrical engineeringElectronics, sensors and digital hardwarePhysical sciencesAtomic, molecular and optical physicsBell inequalityDimension witnessState certificationContinuous variable<p>We investigate generalized Bell tests in phase space for continuous variables that can be used to certify quantum states and witness the dimension of a given state. Our so-called s -parametrized observables in the Bell tests correspond to measuring excitation (photon) -number distribution in conjunction with phase-space displacements. Specifically, we study three practically important classes of states broadly, i.e. two-mode squeezed states, entangled coherent states and general entangled state with bounded photon numbers. We obtain the degree of optimal violation of Bell tests for each class, which enables us to certify a quantum state yielding a maximal violation. Furthermore, our analysis also makes it possible to witness the dimension of a quantum state, i.e. the photon number, by obtaining the bound of Bell violation for a different total photon number.</p><h2>Other Information</h2> <p> Published in: Optics Communications<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.optcom.2023.129322" target="_blank">https://dx.doi.org/10.1016/j.optcom.2023.129322</a></p>2023-05-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.optcom.2023.129322https://figshare.com/articles/journal_contribution/Certifying_quantum_state_and_dimension_via_phase-space_Bell_tests_for_continuous_variable_systems/25108442CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/251084422023-05-01T00:00:00Z |
| spellingShingle | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems Arijit Dutta (10951245) Engineering Electrical engineering Electronics, sensors and digital hardware Physical sciences Atomic, molecular and optical physics Bell inequality Dimension witness State certification Continuous variable |
| status_str | publishedVersion |
| title | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| title_full | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| title_fullStr | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| title_full_unstemmed | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| title_short | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| title_sort | Certifying quantum state and dimension via phase-space Bell tests for continuous variable systems |
| topic | Engineering Electrical engineering Electronics, sensors and digital hardware Physical sciences Atomic, molecular and optical physics Bell inequality Dimension witness State certification Continuous variable |