# Multi-Matrix Post-Processing for Quantum Key Distribution

## TL;DR

This paper introduces a multi-matrix post-processing scheme for quantum key distribution that enhances error correction efficiency and error rate estimation, leading to higher secure key rates without compromising security.

## Contribution

It proposes a multi-low-density parity-check codes based reconciliation scheme with multi-syndrome error estimation, improving efficiency over traditional methods.

## Key findings

- More accurate error rate estimation compared to single-syndrome methods
- Significant increase in reconciliation efficiency
- Maintains security while improving key rate

## Abstract

Post-processing is a significant step in quantum key distribution(QKD), which is used for correcting the quantum-channel noise errors and distilling identical corrected keys between two distant legitimate parties. Efficient error reconciliation protocol, which can lead to an increase in the secure key generation rate, is one of the main performance indicators of QKD setups. In this paper, we propose a multi-low-density parity-check codes based reconciliation scheme, which can provide remarkable perspectives for highly efficient information reconciliation. With testing our approach through data simulation, we show that the proposed scheme combining multi-syndrome-based error rate estimation allows a more accurate estimation about the error rate as compared with random sampling and single-syndrome estimation techniques before the error correction, as well as a significant increase in the efficiency of the procedure without compromising security and sacrificing reconciliation efficiency.