Core Claim: We propose a novel matrix computation method based on quantum entanglement, leveraging the entanglement properties to enhance the computational efficiency of matrix operations.
Jincheng Zhang
Abstract
Quantum entanglement, a fundamental phenomenon in quantum mechanics, offers a unique pathway to computational advantage. This paper investigates a new approach to matrix computation, utilizing quantum entanglement as a core mechanism to achieve significantly improved computational efficiency compared to classical methods. The proposed method explores the potential of manipulating entangled states to perform matrix operations, demonstrating a promising pathway towards a more efficient and scalable quantum computation. We present a detailed theoretical framework and preliminary implementation demonstrating the potential of this approach. The research focuses on enhancing matrix multiplication and eigenvalue calculations, offering a foundation for future explorations in quantum algorithms and hardware development.