Title: Geometric Proofs for Quantum State Verification
Jincheng Zhang
Abstract
Quantum state verification is a critical challenge in quantum computing, demanding rigorous methods to ensure the integrity of quantum information. This paper explores the potential of geometric proofs to revolutionize this process, proposing a novel quantum verification system predicated on the construction of geometric representations of quantum states. We outline the core mechanism, focusing on the design of a quantum verification algorithm that leverages geometric proofs to establish the validity of quantum state representations. This work contributes to the development of robust quantum state verification techniques, offering a fundamentally new approach to guaranteeing the correctness of quantum computations.