Title: Formal Verification of Quantum Complexity
Jincheng Zhang
Abstract
Quantum computing promises revolutionary advancements across numerous fields, but the inherent fragility of quantum systems necessitates robust verification methods. Traditional verification approaches often rely on trial-and-error, lacking the necessary mathematical rigor to guarantee correctness. This paper proposes a novel approach to formal verification of quantum algorithms and systems, focusing on the development of a "complexity metric" that provides a mathematical framework for assessing the trustworthiness of quantum technologies. This metric will enable automated verification against pre-defined complexity limits, offering a significant step towards building reliable and dependable quantum systems.