Automated Theorem Proving for Quantum Circuit Verification
Jincheng Zhang
Abstract
This paper presents a novel approach to automated theorem proving specifically tailored for quantum circuit verification. The core idea is to construct a formal system that leverages logical reasoning and proof techniques to rigorously analyze quantum circuit designs. This system aims to identify errors and inconsistencies within the circuit, ensuring compliance with the fundamental principles of quantum mechanics. The proposed method moves beyond traditional circuit simulation, offering a mathematically sound guarantee of correctness. We detail the architecture of the theorem prover, focusing on the representation of quantum circuits and the application of proof strategies. The system utilizes a combination of techniques including logical deduction, model checking, and constraint solving, adapted for the unique characteristics of quantum computation. The paper outlines the key components of this system and highlights its potential to significantly improve the trustworthiness and reliability of quantum computing technologies. The central aim is to establish a robust framework for automated verification, reducing the risk of errors and accelerating the development of quantum software.