Quantum Entanglement-Driven Probabilistic Matrix Operations
Jincheng Zhang
Abstract
Quantum entanglement, a bizarre phenomenon where two or more particles become linked in such a way that they share the same fate, holds profound implications for computation. This paper explores the potential of leveraging quantum entanglement to revolutionize matrix operations, particularly focusing on achieving high-precision arithmetic and enhanced probabilistic calculations. Traditional matrix operations, while fundamental to many scientific and engineering disciplines, often struggle with computational limitations and susceptibility to gradient vanishing, hindering their application in complex calculations. We propose a novel approach utilizing entanglement to overcome these challenges through parallel computation and entanglement transfer, offering a path toward more efficient and robust matrix operations. This work details the core mechanism, explores the theoretical implications, and provides a preliminary assessment of the potential benefits of this quantum approach.