QKD in the NISQ era: enhancing secure key rates via quantum error correction

TL;DR

This paper evaluates and enhances quantum key distribution protocols on noisy quantum devices by applying quantum error correction, demonstrating improved secure key rates especially with dual-rail encoding on IBM quantum processors.

Contribution

It benchmarks QKD protocols under noise, identifies B92 as optimal under certain conditions, and implements an error-corrected BB84 protocol showing performance gains with quantum error correction.

Findings

B92 is optimal under amplitude-damping noise.

Error correction with dual-rail encoding improves BB84 performance.

Security depends on entangled pair distribution mode.

Abstract

Error mitigation is one of the key challenges in realising the full potential of quantum cryptographic protocols. Consequently, there is a lot of interest in adapting techniques from quantum error correction (QEC) to improve the robustness of quantum cryptographic protocols. In this work, we benchmark the performance of different QKD protocols on noisy quantum devices, with and without error correction. We obtain the secure key rates of BB84, B92 and BBM92 QKD protocols over a quantum channel that is subject to amplitude-damping noise. We demonstrate, theoretically and via implementations on the IBM quantum processors, that B92 is the optimal protocol under amplitude-damping and generalized amplitude-damping noise. We then show that the security of the noisy BBM92 protocol crucially depends on the type and the mode of distribution of an entangled pair. Finally, we implement an error-corrected BB84 protocol using dual-rail encoding on a noisy quantum processor, and show that the dual-rail BB84 implementation outperforms the conventional BB84 in the presence of noise. Our secure key rate calculation also takes into account the effects of CNOT imperfections on the error rates of the protocols.