Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants
Quantum universal invariants of general N-beam Gaussian fields are investigated from the point of view of fields' intensity moments. A method that uniquely links these invariants, including the global and marginal fields' purities, to intensity moments is suggested. Determination of these...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/5hnr-6jbf |
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| author | Nazarii Sudak Artur Barasiński Jan Peřina, Jr. Antonín Černoch |
| author_facet | Nazarii Sudak Artur Barasiński Jan Peřina, Jr. Antonín Černoch |
| author_sort | Nazarii Sudak |
| collection | DOAJ |
| description | Quantum universal invariants of general N-beam Gaussian fields are investigated from the point of view of fields' intensity moments. A method that uniquely links these invariants, including the global and marginal fields' purities, to intensity moments is suggested. Determination of these invariants identifies the Gaussian states including their quantum correlations. In particular, the Peres-Horodecki separability criterion is reformulated in terms of quantum universal invariants, and consequently in terms of experimental intensity moments, offering a practical tool for determining the entanglement or separability of these states. The approach is experimentally demonstrated by determining the invariants of noisy symmetric three-beam Gaussian states using photon-number resolved measurements. Furthermore, their entanglement properties are analyzed and characterized. |
| format | Article |
| id | doaj-art-236f7e6399f44cedb0575df3fb06b5b4 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-236f7e6399f44cedb0575df3fb06b5b42025-08-20T03:31:07ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202327810.1103/5hnr-6jbfEfficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariantsNazarii SudakArtur BarasińskiJan Peřina, Jr.Antonín ČernochQuantum universal invariants of general N-beam Gaussian fields are investigated from the point of view of fields' intensity moments. A method that uniquely links these invariants, including the global and marginal fields' purities, to intensity moments is suggested. Determination of these invariants identifies the Gaussian states including their quantum correlations. In particular, the Peres-Horodecki separability criterion is reformulated in terms of quantum universal invariants, and consequently in terms of experimental intensity moments, offering a practical tool for determining the entanglement or separability of these states. The approach is experimentally demonstrated by determining the invariants of noisy symmetric three-beam Gaussian states using photon-number resolved measurements. Furthermore, their entanglement properties are analyzed and characterized.http://doi.org/10.1103/5hnr-6jbf |
| spellingShingle | Nazarii Sudak Artur Barasiński Jan Peřina, Jr. Antonín Černoch Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants Physical Review Research |
| title | Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants |
| title_full | Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants |
| title_fullStr | Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants |
| title_full_unstemmed | Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants |
| title_short | Efficient characterization of N-beam Gaussian fields through photon-number measurements: Quantum universal invariants |
| title_sort | efficient characterization of n beam gaussian fields through photon number measurements quantum universal invariants |
| url | http://doi.org/10.1103/5hnr-6jbf |
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