Abstract: Information reconciliation is an important part of a continuous-variable quantum key distribu- tion (CV-QKD) system. Polar code is applied to multidimensional reconciliation protocols for CV-QKD, and two new polar code multidimensional reconciliation protocols are proposed in this work. The new protocol consists of the multidimensional algorithm part and error correction part. In the first part, the long sifted key can be divided into a set of d-dimension vectors, and then each group of vectors can be transformed to a binary data after normalization, spheroidization and rotation. In the second part, thecommunication parties can share the frozen position information and frozen bit value, and realize the reverse information reconciliation based on the polar code. The simulation results show that compared with the original inverse polar code reconciliation protocol, the proposed protocol can achieve higher negotiation efficiency while the error correction success rate remains unchanged.

Key words: quantum communication, quantum key distribution, continuous variable, multidimensional reconciliation, polar code, inverse reconciliation, reconciliation efficiency