Logical Quantum Computing: A Proof of Validity through Non-Symmetric Properties
Jincheng Zhang
Abstract
This paper explores the potential of logical quantum computing to provide a novel framework for proving mathematical theorems. Leveraging the inherent non-symmetry of quantum computation, we aim to develop a method for rigorously validating mathematical constructs and potentially uncovering new quantum algorithms. The core mechanism involves simulating and analyzing mathematical theorems using quantum systems, identifying subtle patterns and inconsistencies that reveal vulnerabilities. This research will focus on establishing a rigorous, albeit preliminary, proof of the validity of a specific theorem, demonstrating the potential for a paradigm shift in mathematical verification. The paper concludes with a discussion of the challenges and future directions of this approach.