Quantum Error Correction Embedded Program Generation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum error correction (QEC) that integrates program execution with error correction. The core idea is to embed classical programs directly into the redundancy of QEC codes, such as QC-LDPC, enabling fault-tolerant execution in noisy quantum environments. The method involves decomposing the classical program into a sequence of quantum logic gates, which are then encoded within the QEC code's parity-check matrix. The error correction decoder, during its operation to detect and correct errors, simultaneously recovers the original quantum logic gates, effectively executing the embedded classical program. This represents a significant departure from traditional QEC, which primarily focuses on protecting quantum information, and introduces a new paradigm where programs themselves become the unit of error correction. This approach offers potential advantages in terms of resource utilization and program complexity, particularly for applications requiring intricate quantum computations. This paper outlines the theoretical framework, the encoding process, and discusses potential challenges and future research directions.

DOI: 10.5281/zenodo.22462103

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