A Novel Pauli Evolutionary Quantum Algorithm for Combinatorial Optimization

In this paper, a novel evolutionary quantum algorithm with Pauli mutation PEQA is proposed to solve the combinatorial optimization problem. PEQA utilizes quantum bit strings, quantum gate and Pauli mutation to obtain the best solution with only one individual in a short time. The analysis of Markov chain and empirical experiments on 0/1 knapsack problem are carried out. The results show that PEQA can outperform traditional genetic and quantum evolutionary algorithms.