Quantifying entanglement of parametric down-converted states in all degrees of freedom
The amount of entanglement that exists in a parametric down-converted state is investigated in terms of all the degrees of freedom of the state. We quantify the amount of entanglement by the Schmidt number of the state, represented as a pure bipartite state by tagging the down-converted photons in t...
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.023137 |
| _version_ | 1797211458666233856 |
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| author | Filippus S. Roux |
| author_facet | Filippus S. Roux |
| author_sort | Filippus S. Roux |
| collection | DOAJ |
| description | The amount of entanglement that exists in a parametric down-converted state is investigated in terms of all the degrees of freedom of the state. We quantify the amount of entanglement by the Schmidt number of the state, represented as a pure bipartite state by tagging the down-converted photons in terms of orthogonal states of polarization with the aid of type-II phase matching. To facilitate our calculations, we use a Wigner functional approach, which allows the incorporation of the full infinite dimensional spatiotemporal degrees of freedom. A quantitative example with reasonably achievable experimental conditions is considered to demonstrate that extremely large Schmidt numbers are achievable. |
| first_indexed | 2024-04-24T10:26:49Z |
| format | Article |
| id | doaj.art-332e89bd36d142d6a283f22cd3a4d09a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:26:49Z |
| publishDate | 2020-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-332e89bd36d142d6a283f22cd3a4d09a2024-04-12T16:53:39ZengAmerican Physical SocietyPhysical Review Research2643-15642020-05-012202313710.1103/PhysRevResearch.2.023137Quantifying entanglement of parametric down-converted states in all degrees of freedomFilippus S. RouxThe amount of entanglement that exists in a parametric down-converted state is investigated in terms of all the degrees of freedom of the state. We quantify the amount of entanglement by the Schmidt number of the state, represented as a pure bipartite state by tagging the down-converted photons in terms of orthogonal states of polarization with the aid of type-II phase matching. To facilitate our calculations, we use a Wigner functional approach, which allows the incorporation of the full infinite dimensional spatiotemporal degrees of freedom. A quantitative example with reasonably achievable experimental conditions is considered to demonstrate that extremely large Schmidt numbers are achievable.http://doi.org/10.1103/PhysRevResearch.2.023137 |
| spellingShingle | Filippus S. Roux Quantifying entanglement of parametric down-converted states in all degrees of freedom Physical Review Research |
| title | Quantifying entanglement of parametric down-converted states in all degrees of freedom |
| title_full | Quantifying entanglement of parametric down-converted states in all degrees of freedom |
| title_fullStr | Quantifying entanglement of parametric down-converted states in all degrees of freedom |
| title_full_unstemmed | Quantifying entanglement of parametric down-converted states in all degrees of freedom |
| title_short | Quantifying entanglement of parametric down-converted states in all degrees of freedom |
| title_sort | quantifying entanglement of parametric down converted states in all degrees of freedom |
| url | http://doi.org/10.1103/PhysRevResearch.2.023137 |
| work_keys_str_mv | AT filippussroux quantifyingentanglementofparametricdownconvertedstatesinalldegreesoffreedom |