Theoretical Framework for Quantum Hidden Matrix Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum hidden matrix computation (QHM) is a promising approach to quantum computing, offering the potential for solving complex problems beyond the reach of classical computers. This paper presents a theoretical framework for QHM, demonstrating a fundamental relationship between the computational complexity of quantum hidden matrices and the number of qubits employed. We propose a novel approach to representing quantum information as a quantum state, and subsequently, establish a linear relationship between the complexity of these states and the number of qubits. This relationship provides a basis for designing efficient quantum algorithms. The core mechanism centers on the concept of a 'quantum information representation' and its associated computational complexity. We offer a detailed analysis of this representation, demonstrating a significant reduction in computational complexity with increased qubit count, paving the way for practical implementations. This work represents a significant advancement in the field, offering a potential path towards significantly more efficient quantum computations.

DOI: 10.5281/zenodo.22196978

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