Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality
Abstract Photons are elementary particles of light in quantum mechanics, whose dynamics can be difficult to gain detailed insights, especially in complex systems. Simulation is a promising tool to resolve this issue, but it must address the curse of dimensionality, namely, that the number of bases i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-53246-2 |
| _version_ | 1797274842629668864 |
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| author | Junpei Oba Seiji Kajita Akihito Soeda |
| author_facet | Junpei Oba Seiji Kajita Akihito Soeda |
| author_sort | Junpei Oba |
| collection | DOAJ |
| description | Abstract Photons are elementary particles of light in quantum mechanics, whose dynamics can be difficult to gain detailed insights, especially in complex systems. Simulation is a promising tool to resolve this issue, but it must address the curse of dimensionality, namely, that the number of bases increases exponentially in the number of photons. Here we mitigate this dimensionality scaling by focusing on optical systems composed of linear optical objects, modeled as an ensemble of two-level atoms. We decompose the time evolutionary operator on multiple photons into a group of time evolution operators acting on a single photon. Since the dimension of a single-photon time evolution operator is exponentially smaller than that of a multi-photon one in the number of photons, the decomposition enables the multi-photon simulations to be performed at a much lower computational cost. We apply this method to basic single- and multi-photon phenomena, such as Hong–Ou–Mandel interference and violation of the Bell-CHSH inequality, and confirm that the calculated properties are quantitatively comparable to the experimental results. Furthermore, our method visualizes the spatial propagation of photons hence provides insights that aid experiment designs for quantum-enabled technologies. |
| first_indexed | 2024-03-07T15:04:54Z |
| format | Article |
| id | doaj.art-088d5abbf0d14a56a7e90355d9885345 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-07T15:04:54Z |
| publishDate | 2024-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-088d5abbf0d14a56a7e90355d98853452024-03-05T18:55:31ZengNature PortfolioScientific Reports2045-23222024-02-0114111510.1038/s41598-024-53246-2Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionalityJunpei Oba0Seiji Kajita1Akihito Soeda2Toyota Central R&D Labs., Inc.Toyota Central R&D Labs., Inc.Principles of Informatics Research Division, National Institute of InformaticsAbstract Photons are elementary particles of light in quantum mechanics, whose dynamics can be difficult to gain detailed insights, especially in complex systems. Simulation is a promising tool to resolve this issue, but it must address the curse of dimensionality, namely, that the number of bases increases exponentially in the number of photons. Here we mitigate this dimensionality scaling by focusing on optical systems composed of linear optical objects, modeled as an ensemble of two-level atoms. We decompose the time evolutionary operator on multiple photons into a group of time evolution operators acting on a single photon. Since the dimension of a single-photon time evolution operator is exponentially smaller than that of a multi-photon one in the number of photons, the decomposition enables the multi-photon simulations to be performed at a much lower computational cost. We apply this method to basic single- and multi-photon phenomena, such as Hong–Ou–Mandel interference and violation of the Bell-CHSH inequality, and confirm that the calculated properties are quantitatively comparable to the experimental results. Furthermore, our method visualizes the spatial propagation of photons hence provides insights that aid experiment designs for quantum-enabled technologies.https://doi.org/10.1038/s41598-024-53246-2 |
| spellingShingle | Junpei Oba Seiji Kajita Akihito Soeda Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality Scientific Reports |
| title | Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality |
| title_full | Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality |
| title_fullStr | Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality |
| title_full_unstemmed | Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality |
| title_short | Fast simulation for multi-photon, atomic-ensemble quantum model of linear optical systems addressing the curse of dimensionality |
| title_sort | fast simulation for multi photon atomic ensemble quantum model of linear optical systems addressing the curse of dimensionality |
| url | https://doi.org/10.1038/s41598-024-53246-2 |
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