Evaluating the Eavesdropper Entropy via Bloch-Messiah Decomposition

• URL: http://arxiv.org/abs/2107.14752v1
• Date: Fri, 30 Jul 2021 16:52:10 GMT
• Title: Evaluating the Eavesdropper Entropy via Bloch-Messiah Decomposition
• Authors: Micael Andrade Dias and Francisco Marcos de Assis
• Abstract summary: We analyze the Entangling Cloner Attack performed by an eavesdropper on a discrete modulated continuous variable QKD scenario. We get tighter upper bounds to the eavesdropper entropy for a discrete modulated CVQKD scheme.
• Score: 2.4366811507669124
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We explore the Bloch-Messiah decomposition of Gaussian unitary to analyze the Entangling Cloner Attack performed by an eavesdropper on a discrete modulated continuous variable QKD scenario. Such a decomposition allows to replace the nonlinear unitary resulting from eavesdropping and tracing out Bob's mode into an architecture of single-mode operations (squeezers, phase shifters and displacements) and a two-mode beam splitter. Based on such architecture we were able to get tighter upper bounds to the eavesdropper entropy for a discrete modulated CVQKD scheme. The new bounds are justified from the Gaussian extremality property valid for entangled-based equivalent protocols.

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