Re-examination of the role of displacement and photon catalysis operation in continuous variable measurement device-independent quantum key distribution
- URL: http://arxiv.org/abs/2406.17727v1
- Date: Tue, 25 Jun 2024 17:16:15 GMT
- Title: Re-examination of the role of displacement and photon catalysis operation in continuous variable measurement device-independent quantum key distribution
- Authors: Chandan Kumar, Arvind,
- Abstract summary: We investigate the benefits of using $m$-photon catalysed two-mode squeezed coherent ($mPCTMSC) state in continuous variable measurement quantum key distribution (CVMDIQKD)
We show that the 0PCTMSC state is an inferior choice as compared to the zero photon catalyzed two-mode vacuum state for CV-MDQKD.
- Score: 4.931087628729246
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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