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针对3-puzzle问题,运用量子计算方法分析了节点扩展的酉变换矩阵.对一个3-puzzle问题实例进行了元素编码和节点状态编码,描述了具体的节点扩展酉变换矩阵,并运用量子受控非门逻辑线路实现了酉变换矩阵.讨论了N-puzzle量子计算的线路模型,对量子位的基态和最佳基态的制备作了分析,阐述了N-puzzle启发式搜索量子计算框架.

The unitary transformation matrices of nodes expansion are analyzed by using quantum computing method for 3-puzzle problem.Element coding and node state coding are performed on a 3-puzzle problem instance.The specific node expansion unitary transformation matrices are described,and the unitary transformation matrices are realized by using the quantum controlled-NOT gate logic circuits.A logic circuit model of N-puzzle quantum computing is discussed.The preparation of ground state and optimum ground state of quabits is analyzed,and the N-puzzle heuristic search quantum computing framework is discussed.

参考文献

[1] Emilio G. Ortiz-Garcia;Sancho Salcedo-Sanz;Jose M. Leiva-Murillo;Angel M. Perez-Bellido;Jose A. Portilla-Figueras.Automated generation and visualization of picture-logic puzzles[J].Computers & graphics,20075(5):750-760.
[2] Zilles, S.;Holte, R.C..The computational complexity of avoiding spurious states in state space abstraction[J].Artificial Intelligence: An International Journal,201014(14):1072-1092.
[3] 杨淑媛;刘芳;焦李成.量子进化策略[J].电子学报,2001(z1):1873-1877.
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