High-Dimensional Quantum State Computation Paradigm
Jincheng Zhang
Abstract
This paper introduces a novel quantum computation paradigm, termed the "High-Dimensional Quantum State Computation Paradigm," designed to effectively address the challenges posed by high-dimensional quantum states. Traditional quantum algorithms often fail to fully exploit the potential of non-linear operations in manipulating these states. This work proposes a new approach that leverages specific quantum circuit designs and optimization techniques to enhance the computational power and efficiency of solving problems involving high-dimensional quantum systems. We present a detailed model and preliminary experimental results demonstrating the efficacy of this paradigm in a specific, complex quantum state problem. The core mechanism centers around the strategic application of non-linear quantum gates to effectively explore the state space of high-dimensional quantum systems. This approach provides a significant advancement in the ability to tackle problems that are currently intractable for existing quantum algorithms.