Title: Information-Theoretic Constraints on Quantum Algorithms
Jincheng Zhang
Abstract
This paper explores the crucial role of information theory in the design and analysis of quantum algorithms. It introduces a novel methodology, the 'quantized information density' metric, aimed at rigorously characterizing the information requirements of quantum computations. The core claim is that current approaches often underestimate the limitations imposed by information theory, providing a more precise understanding of algorithm complexity. This work proposes a method for dynamically assessing and quantifying these limits, ultimately contributing to a deeper comprehension of the potential and constraints within quantum computation.