Purification of Gaussian States by Photon Subtraction
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914938322157568 |
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| author | Zhang, Kun Li, Huijun Jing, Jietai Treps, Nicolas Walschaers, Mattia |
| author_facet | Zhang, Kun Li, Huijun Jing, Jietai Treps, Nicolas Walschaers, Mattia |
| contents | Photon subtraction can enhance entanglement, which for pure states induces a decrease in the purity of reduced states. In contrast, by analyzing the purities of Gaussian states before and after subtracting a single photon, we prove that the purity of a Gaussian state can also be increased by less than 20%. On the one hand, it reveals that photon subtraction can reduce entanglement, and on the other hand, it reveals that it can achieve a limited amount of Gaussian state purification. Through the analysis of some examples, we demonstrate the inherent mechanism and applicable scope of photon-subtraction-based purification. In a multimode system, we find that photon subtraction can increase entanglement and purify some of the reduced states simultaneously. We thus present purification through the suppression of Gaussian noise as a new application for photon subtraction in continuous-variable quantum information processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Purification of Gaussian States by Photon Subtraction Zhang, Kun Li, Huijun Jing, Jietai Treps, Nicolas Walschaers, Mattia Quantum Physics Optics Photon subtraction can enhance entanglement, which for pure states induces a decrease in the purity of reduced states. In contrast, by analyzing the purities of Gaussian states before and after subtracting a single photon, we prove that the purity of a Gaussian state can also be increased by less than 20%. On the one hand, it reveals that photon subtraction can reduce entanglement, and on the other hand, it reveals that it can achieve a limited amount of Gaussian state purification. Through the analysis of some examples, we demonstrate the inherent mechanism and applicable scope of photon-subtraction-based purification. In a multimode system, we find that photon subtraction can increase entanglement and purify some of the reduced states simultaneously. We thus present purification through the suppression of Gaussian noise as a new application for photon subtraction in continuous-variable quantum information processing. |
| title | Purification of Gaussian States by Photon Subtraction |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2409.03473 |