Graph-Based Quantum Computation Algorithm
Jincheng Zhang
Abstract
This paper presents a novel quantum computation algorithm based on graph theory, aiming to simplify quantum computations by leveraging graph structure characteristics. Traditional quantum computing often struggles with efficiently utilizing graph structures, leading to complex algorithms. Our approach transforms the core quantum computation process into a graph representation, employing graph nodes and edges to design an optimized quantum computation. The core mechanism focuses on reducing computational complexity through the intelligent design of the graph structure itself. This paper details the algorithm's architecture, the rationale behind the graph representation, and the resulting efficiency gains compared to traditional methods. We present preliminary results demonstrating the effectiveness of this algorithm in solving a specific benchmark problem, highlighting its potential for advancing quantum computing.