Dimension Reduction in Quantum Key Distribution for Continuous- and Discrete-Variable Protocols

• URL: http://arxiv.org/abs/2101.05799v2
• Date: Mon, 24 May 2021 23:06:30 GMT
• Title: Dimension Reduction in Quantum Key Distribution for Continuous- and Discrete-Variable Protocols
• Authors: Twesh Upadhyaya, Thomas van Himbeeck, Jie Lin, Norbert L\"utkenhaus
• Abstract summary: We develop a method to connect the infinite-dimensional description of optical continuous-variable key distribution protocols to a finite-dimensional formulation. The secure key rates of quantum optical QKD protocols can then be evaluated using recently-developed reliable numerical methods for key rate calculations.
• Score: 3.749120127914018
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a method to connect the infinite-dimensional description of optical continuous-variable quantum key distribution (QKD) protocols to a finite-dimensional formulation. The secure key rates of the optical QKD protocols can then be evaluated using recently-developed reliable numerical methods for key rate calculations. We apply this method to obtain asymptotic key rates for discrete-modulated continuous-variable QKD protocols, which are of practical significance due to their experimental simplicity and potential for large-scale deployment in quantum-secured networks. Importantly, our security proof does not require the photon-number cutoff assumption relied upon in previous works. We also demonstrate that our method can provide practical advantages over the flag-state squasher when applied to discrete-variable protocols.

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