Probability Information Theory: A Quantum Computing Foundation
Jincheng Zhang
Abstract
Probability Information Theory (PIT) is a foundational branch of theoretical computer science concerned with the mathematical properties of probability and its relationship to computation. This paper investigates the convergence of PIT with quantum computing, specifically exploring the nature and application of probability information within quantum algorithms. We propose a novel framework where PIT's theoretical foundations are integrated with quantum algorithm design, leveraging PIT's inherent strengths to guide and optimize quantum computations. This investigation aims to uncover potential new applications of quantum algorithms based on the unique properties of probability information, pushing the boundaries of computational exploration.