Error tolerance of two-basis quantum key-distribution protocols using qudits and two-way classical communication

Abstract

We investigate the error tolerance of quantum cryptographic protocols using $d$-level systems. In particular, we focus on prepare-and-measure schemes that use two mutually unbiased bases and a key-distillation procedure with two-way classical communication. For arbitrary quantum channels, we obtain a sufficient condition for secret-key distillation which, in the case of isotropic quantum channels, yields an analytic expression for the maximally tolerable error rate of the cryptographic protocols under consideration. The difference between the tolerable error rate and its theoretical upper bound tends slowly to zero for sufficiently large dimensions of the information carriers.

10 pages, 1 figure

References in corpus (2)

• Security bound of two-bases quantum key-distribution protocols using qudits
• Asymptotic correctability of Bell-diagonal quantum states and maximum tolerable bit error rates

Cited by in corpus (3)

• Symmetries and security of a quantum-public-key encryption based on single-qubit rotations
• Symmetric extendibility for qudits and tolerable error rates in quantum cryptography
• Asymptotic correctability of Bell-diagonal qudit states and lower bounds on tolerable error probabilities in quantum cryptography