Computing key rates for one-sided device-independent quantum key distribution

arXiv (Cornell University)

Abstract

The defining feature of one-sided device-independent quantum key distribution is its asymmetric trust model in which only one party is characterized. This scenario sets an interesting middle ground between high key rates achievable by characterizing devices and the security of full device-independence. Here, we provide new tools, methods, and benchmarks for calculating key rates in this setting. To achieve this, we develop and compare two extensions of the NPA hierarchy and derive finite-size security bounds against general attacks with arbitrary device memory. The latter is based on the Generalized Entropy Accumulation Theorem. We then investigate the performance of various protocols: the BB84 protocol both with and without losses, a qutrit mutually unbiased bases protocol, and protocols based on Bell inequalties such as CHSH and $I_{3322}$. We find that the choice of which party is characterized can strongly affects the key rate, surprisingly without a universal ordering. Our work thus offers a general toolbox for calculating key rates for one-sided device-independent QKD protocols.

Authors 6

1. Andreas Blühm

   Institut polytechnique de Grenoble · Centre National de la Recherche Scientifique · Laboratoire d'Informatique de Grenoble

   Affiliation as printed

   Univ. Grenoble Alpes , CNRS , Grenoble INP , LIG , 38000 Grenoble , France

2. Gereon Koßmann Aachen Institute for Quantum Information

   RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information , RWTH Aachen , 52062 Aachen , Germany

3. Martin Sandfuchs

   ETH Zurich · Institute for Theoretical Physics

   Affiliation as printed

   Institute for Theoretical Physics , ETH Zürich , 8093 Zurich , Switzerland

4. René Schwonnek

   Leibniz University Hannover

   Affiliation as printed

   Institute for Theoretical Physics , Leibniz Universität Hannover , 30167 Hannover , Germany

5. Giuseppe Viola

   University of Siegen · Folkwang University of the Arts

   Affiliation as printed

   Naturwissenschaftliche-Technische Fakultät , Universität Siegen , 57068 Siegen , Germany

6. Ramona Wolf

   Universität Innsbruck

   Affiliation as printed

   Institute for Theoretical Physics , Universität Innsbruck , 6020 Innsbruck , Austria