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This paper introduces a parallel approach to quantum error correction (QEC) decoding that leverages Belief Propagation combined with Ordered Statistics Decoding, enhancing the efficiency of error correction in distributed quantum computing systems. By pre-processing error vectors through local Singular Value Decomposition on sub-regions of the lattice, the method achieves significant improvements in complexity, accuracy, and scalability. The results indicate that this approach can effectively manage the challenges of QEC in distributed settings, making it a promising advancement for practical quantum computing applications.
Pre-processing error vectors with Singular Value Decomposition can drastically enhance the efficiency of quantum error correction in distributed systems.
A novel parallel approach is proposed for QEC decoding based on Belief Propagation with Ordered Statistics Decoding. The main idea is to pre-process the error vectors obtained from Belief Propagation by applying Singular Value Decomposition locally to sub-regions of the lattice. The proposed approach is applied to distributed quantum computers and evaluated in terms of complexity, accuracy, and scalability.
