Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism
We apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitter are reproduced by a wave-like description with zeropoint fluctuations of the electromagnetic field. In particular, t...
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/501521 |
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| author | A. Casado S. Guerra J. Plácido |
| author_facet | A. Casado S. Guerra J. Plácido |
| author_sort | A. Casado |
| collection | DOAJ |
| description | We apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitter are reproduced by a wave-like description with zeropoint fluctuations of the electromagnetic field. In particular, the fermionic behaviour of two photons in the singlet state is explained from the invariance on the correlation properties of two light beams going through a balanced beam-splitter. Moreover, we show that a Bell-state measurement introduces some fundamental noise at the idle channels of the analyzers. As a consequence, the consideration of more independent sets of vacuum modes entering the crystal appears as a need for a complete Bell-state analysis. |
| format | Article |
| id | doaj-art-a9532874aa584a02a7ef6e630d26fa9c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a9532874aa584a02a7ef6e630d26fa9c2025-02-03T01:20:46ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/501521501521Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function FormalismA. Casado0S. Guerra1J. Plácido2Departamento de Física Aplicada III, Escuela Superior de Ingenieros, Universidad de Sevilla, 41092 Sevilla, SpainCentro Asociado de la Universidad Nacional de Educación a Distancia de Las Palmas de Gran Canaria, 35004 Las Palmas de Gran Canaria, SpainDepartamento de Física, Universidad de Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, SpainWe apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitter are reproduced by a wave-like description with zeropoint fluctuations of the electromagnetic field. In particular, the fermionic behaviour of two photons in the singlet state is explained from the invariance on the correlation properties of two light beams going through a balanced beam-splitter. Moreover, we show that a Bell-state measurement introduces some fundamental noise at the idle channels of the analyzers. As a consequence, the consideration of more independent sets of vacuum modes entering the crystal appears as a need for a complete Bell-state analysis.http://dx.doi.org/10.1155/2010/501521 |
| spellingShingle | A. Casado S. Guerra J. Plácido Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism Advances in Mathematical Physics |
| title | Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism |
| title_full | Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism |
| title_fullStr | Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism |
| title_full_unstemmed | Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism |
| title_short | Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism |
| title_sort | partial bell state analysis with parametric down conversion in the wigner function formalism |
| url | http://dx.doi.org/10.1155/2010/501521 |
| work_keys_str_mv | AT acasado partialbellstateanalysiswithparametricdownconversioninthewignerfunctionformalism AT sguerra partialbellstateanalysiswithparametricdownconversioninthewignerfunctionformalism AT jplacido partialbellstateanalysiswithparametricdownconversioninthewignerfunctionformalism |