Detecting entanglement of unknown continuous variable states with random measurements
We develop a scheme for the detection of entanglement in any continuous variable system, by constructing an optimal entanglement witness from random homodyne measurements. To this end, we introduce a set of linear constraints that guarantee the necessary properties of a witness and allow for its opt...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abd1ad |
| _version_ | 1797750317149847552 |
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| author | Tatiana Mihaescu Hermann Kampermann Giulio Gianfelici Aurelian Isar Dagmar Bruß |
| author_facet | Tatiana Mihaescu Hermann Kampermann Giulio Gianfelici Aurelian Isar Dagmar Bruß |
| author_sort | Tatiana Mihaescu |
| collection | DOAJ |
| description | We develop a scheme for the detection of entanglement in any continuous variable system, by constructing an optimal entanglement witness from random homodyne measurements. To this end, we introduce a set of linear constraints that guarantee the necessary properties of a witness and allow for its optimisation via a semidefinite program. We test our method on the class of squeezed vacuum states and study the efficiency of entanglement detection in general unknown covariance matrices. The results show that we can detect entanglement, including bound entanglement, in arbitrary continuous variable states with fewer measurements than in full tomography. The statistical analysis of our method shows a good robustness to statistical errors in experiments. |
| first_indexed | 2024-03-12T16:31:59Z |
| format | Article |
| id | doaj.art-ec315ef84b17403385b9946ac045ea74 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:59Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ec315ef84b17403385b9946ac045ea742023-08-08T15:29:38ZengIOP PublishingNew Journal of Physics1367-26302020-01-01221212304110.1088/1367-2630/abd1adDetecting entanglement of unknown continuous variable states with random measurementsTatiana Mihaescu0Hermann Kampermann1Giulio Gianfelici2Aurelian Isar3https://orcid.org/0000-0003-3033-7045Dagmar Bruß4Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf , D-40225 Düsseldorf, Germany; Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering , RO-077125 Bucharest-Magurele, RomaniaInstitut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf , D-40225 Düsseldorf, GermanyInstitut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf , D-40225 Düsseldorf, GermanyDepartment of Theoretical Physics, National Institute of Physics and Nuclear Engineering , RO-077125 Bucharest-Magurele, Romania; Faculty of Physics, University of Bucharest , RO-077125 Bucharest-Magurele, RomaniaInstitut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf , D-40225 Düsseldorf, GermanyWe develop a scheme for the detection of entanglement in any continuous variable system, by constructing an optimal entanglement witness from random homodyne measurements. To this end, we introduce a set of linear constraints that guarantee the necessary properties of a witness and allow for its optimisation via a semidefinite program. We test our method on the class of squeezed vacuum states and study the efficiency of entanglement detection in general unknown covariance matrices. The results show that we can detect entanglement, including bound entanglement, in arbitrary continuous variable states with fewer measurements than in full tomography. The statistical analysis of our method shows a good robustness to statistical errors in experiments.https://doi.org/10.1088/1367-2630/abd1adquantum entanglementcontinuous variable systemsentanglement witnessescovariance matrices |
| spellingShingle | Tatiana Mihaescu Hermann Kampermann Giulio Gianfelici Aurelian Isar Dagmar Bruß Detecting entanglement of unknown continuous variable states with random measurements New Journal of Physics quantum entanglement continuous variable systems entanglement witnesses covariance matrices |
| title | Detecting entanglement of unknown continuous variable states with random measurements |
| title_full | Detecting entanglement of unknown continuous variable states with random measurements |
| title_fullStr | Detecting entanglement of unknown continuous variable states with random measurements |
| title_full_unstemmed | Detecting entanglement of unknown continuous variable states with random measurements |
| title_short | Detecting entanglement of unknown continuous variable states with random measurements |
| title_sort | detecting entanglement of unknown continuous variable states with random measurements |
| topic | quantum entanglement continuous variable systems entanglement witnesses covariance matrices |
| url | https://doi.org/10.1088/1367-2630/abd1ad |
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