Multi-user QKD using quotient graph states derived from continuous-variable dual-rail cluster states

TL;DR

This paper presents a novel continuous-variable quantum cryptography protocol using quotient graph states derived from dual-rail cluster states, enabling multi-user conference keys and bipartite key generation with practical advantages.

Contribution

It introduces a new protocol based on quotient graph states from CV dual-rail cluster states, enabling multi-user and bipartite key generation with improved performance and robustness.

Findings

Protocol achieves near-GHZ performance in conference key agreement

Enables bipartite key generation post-QCKA, unlike GHZ states

Maintains advantages under finite-size and experimental imperfections

Abstract

Multipartite entangled states are fundamental resources for multi-user quantum cryptographic tasks. Despite significant advancements in generating large-scale continuous-variable (CV) cluster states, particularly the dual-rail cluster state because of its utility in measurement-based quantum computation, its application in quantum cryptography has remained largely unexplored. In this paper, we introduce a novel protocol for generating three user conference keys using a CV dual-rail cluster state. We develop the concept of a quotient graph state by applying a node coloring scheme to the infinite dual-rail graph, resulting in a six-mode pure graph state suitable for cryptographic applications. Our results demonstrate that the proposed protocol achieves performance close to that of GHZ-based protocols for quantum conference key agreement (QCKA), with GHZ states performing slightly better. However, a key advantage of our protocol lies in its ability to generate bipartite keys post-QCKA, a feature not achievable with GHZ states. Additionally, compared to a downstream access network using two-mode squeezed vacuum states, our protocol achieves superior performance in generating bipartite keys. Furthermore, we extend our analysis to the finite-size regime and consider the impact of using impure squeezed states for generating the multipartite entangled states, reflecting experimental imperfections. Our findings indicate that even with finite resources and non-ideal state preparation, the proposed protocol maintains its advantages. We also introduce a more accurate method to estimate the capacity of a protocol to generate bipartite keys in a quantum network.