Re-examination of the role of displacement and photon catalysis operation in continuous variable measurement device-independent quantum key distribution
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913767351123968 |
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| author | Kumar, Chandan Arvind |
| author_facet | Kumar, Chandan Arvind |
| contents | We investigate the benefits of using $m$-photon catalysed two-mode squeezed coherent ($m$-PCTMSC) state in continuous variable measurement device-independent quantum key distribution (CV-MDI-QKD). To that end, we derive the Wigner characteristic function of the $m$-PCTMSC state and show that the 0-PCTMSC state is a Gaussian state and is an inferior choice as compared to the zero photon catalyzed two-mode squeezed vacuum state for CV-MDI-QKD. We carry out the optimization of the secret key rate with respect to all state parameters, namely variance, transmissivity, and displacement. Contrary to many recent proposals, the results show that zero- and single-photon catalysis operation provides only a marginal benefit in improving the maximum transmission distance. Secondly, we find that displacement offers no benefit in improving CV-MDI-QKD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Re-examination of the role of displacement and photon catalysis operation in continuous variable measurement device-independent quantum key distribution Kumar, Chandan Arvind Quantum Physics We investigate the benefits of using $m$-photon catalysed two-mode squeezed coherent ($m$-PCTMSC) state in continuous variable measurement device-independent quantum key distribution (CV-MDI-QKD). To that end, we derive the Wigner characteristic function of the $m$-PCTMSC state and show that the 0-PCTMSC state is a Gaussian state and is an inferior choice as compared to the zero photon catalyzed two-mode squeezed vacuum state for CV-MDI-QKD. We carry out the optimization of the secret key rate with respect to all state parameters, namely variance, transmissivity, and displacement. Contrary to many recent proposals, the results show that zero- and single-photon catalysis operation provides only a marginal benefit in improving the maximum transmission distance. Secondly, we find that displacement offers no benefit in improving CV-MDI-QKD. |
| title | Re-examination of the role of displacement and photon catalysis operation in continuous variable measurement device-independent quantum key distribution |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.17727 |