Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing
In spontaneous parametric down conversion (SPDC) based quantum information processing (QIP) experiments, there is a tradeoff between the coincidence count rates (i.e. the pumping power of the SPDC), which limits the rate of the protocol, and the visibility of the quantum interference, which limits t...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2015-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/4/043030 |
| _version_ | 1827874059484921856 |
|---|---|
| author | Masahiro Takeoka Rui-Bo Jin Masahide Sasaki |
| author_facet | Masahiro Takeoka Rui-Bo Jin Masahide Sasaki |
| author_sort | Masahiro Takeoka |
| collection | DOAJ |
| description | In spontaneous parametric down conversion (SPDC) based quantum information processing (QIP) experiments, there is a tradeoff between the coincidence count rates (i.e. the pumping power of the SPDC), which limits the rate of the protocol, and the visibility of the quantum interference, which limits the quality of the protocol. This tradeoff is mainly caused by the multi-photon pair emissions from the SPDCs. In theory, the problem is how to model the experiments without truncating these multi-photon emissions while including practical imperfections. In this paper, we establish a method to theoretically simulate SPDC-based QIPs which fully incorporates the effect of multi-photon emissions and various practical imperfections. The key ingredient in our method is the application of the characteristic function formalism which has been used in continuous variable QIPs. We apply our method to three examples, the Hong–Ou–Mandel interference and the Einstein–Podolsky–Rosen interference experiments, and the concatenated entanglement swapping protocol. For the first two examples, we show that our theoretical results quantitatively agree with the recent experimental results. Also we provide the closed expressions for these interference visibilities with the full multi-photon components and various imperfections. For the last example, we provide the general theoretical form of the concatenated entanglement swapping protocol in our method and show the numerical results up to five concatenations. Our method requires only a small computational resource (a few minutes by a commercially available computer), which was not possible in the previous theoretical approach. Our method will have applications in a wide range of SPDC-based QIP protocols with high accuracy and a reasonable computational resource. |
| first_indexed | 2024-03-12T16:45:52Z |
| format | Article |
| id | doaj.art-c36b5477f8d34e54a915538945ccf4c0 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:45:52Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-c36b5477f8d34e54a915538945ccf4c02023-08-08T14:15:44ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117404303010.1088/1367-2630/17/4/043030Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processingMasahiro Takeoka0Rui-Bo Jin1Masahide Sasaki2National Institute of Information and Communications Technology , Koganei, Tokyo 184–8795, JapanNational Institute of Information and Communications Technology , Koganei, Tokyo 184–8795, JapanNational Institute of Information and Communications Technology , Koganei, Tokyo 184–8795, JapanIn spontaneous parametric down conversion (SPDC) based quantum information processing (QIP) experiments, there is a tradeoff between the coincidence count rates (i.e. the pumping power of the SPDC), which limits the rate of the protocol, and the visibility of the quantum interference, which limits the quality of the protocol. This tradeoff is mainly caused by the multi-photon pair emissions from the SPDCs. In theory, the problem is how to model the experiments without truncating these multi-photon emissions while including practical imperfections. In this paper, we establish a method to theoretically simulate SPDC-based QIPs which fully incorporates the effect of multi-photon emissions and various practical imperfections. The key ingredient in our method is the application of the characteristic function formalism which has been used in continuous variable QIPs. We apply our method to three examples, the Hong–Ou–Mandel interference and the Einstein–Podolsky–Rosen interference experiments, and the concatenated entanglement swapping protocol. For the first two examples, we show that our theoretical results quantitatively agree with the recent experimental results. Also we provide the closed expressions for these interference visibilities with the full multi-photon components and various imperfections. For the last example, we provide the general theoretical form of the concatenated entanglement swapping protocol in our method and show the numerical results up to five concatenations. Our method requires only a small computational resource (a few minutes by a commercially available computer), which was not possible in the previous theoretical approach. Our method will have applications in a wide range of SPDC-based QIP protocols with high accuracy and a reasonable computational resource.https://doi.org/10.1088/1367-2630/17/4/043030quantum information processingspontaneous parametric down conversionmulti-photon emissioncharacteristic function |
| spellingShingle | Masahiro Takeoka Rui-Bo Jin Masahide Sasaki Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing New Journal of Physics quantum information processing spontaneous parametric down conversion multi-photon emission characteristic function |
| title | Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing |
| title_full | Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing |
| title_fullStr | Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing |
| title_full_unstemmed | Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing |
| title_short | Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing |
| title_sort | full analysis of multi photon pair effects in spontaneous parametric down conversion based photonic quantum information processing |
| topic | quantum information processing spontaneous parametric down conversion multi-photon emission characteristic function |
| url | https://doi.org/10.1088/1367-2630/17/4/043030 |
| work_keys_str_mv | AT masahirotakeoka fullanalysisofmultiphotonpaireffectsinspontaneousparametricdownconversionbasedphotonicquantuminformationprocessing AT ruibojin fullanalysisofmultiphotonpaireffectsinspontaneousparametricdownconversionbasedphotonicquantuminformationprocessing AT masahidesasaki fullanalysisofmultiphotonpaireffectsinspontaneousparametricdownconversionbasedphotonicquantuminformationprocessing |