基于自律性结构的量子计算的几何验证

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum computing, a revolutionary paradigm shift in computation, promises unprecedented computational power. However, the inherent fragility of quantum states necessitates rigorous validation methods to ensure algorithmic correctness and stability. This paper explores a novel geometric verification framework for quantum computation, leveraging self-correcting properties to rigorously assess quantum state evolution and algorithmic performance. We propose a dynamic self-correction mechanism, enabling the detection and correction of errors in quantum circuits, thereby enhancing the reliability of quantum computations. The core mechanism focuses on establishing and verifying self-consistency conditions within quantum algorithms, ultimately providing a robust and verifiable path towards the realization of practical quantum computers. This work represents a significant step towards validating complex quantum algorithms and achieving long-term operational stability.

DOI: 10.5281/zenodo.22192344

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