量子Toffoli门的核磁共振物理实现  

Nuclear-Magnetic-Resonance-Based Physical Realization of Quantum Toffoli Gate

作　　者：彭永刚 Peng Yonggang(Department of Applied Physics,College of Science,Nanjing University of Posts and Telecommunications,Nanjing 210003,Jiangsu,China)

机构地区：[1]南京邮电大学理学院应用物理系,江苏南京210003

出　　处：《激光与光电子学进展》2023年第7期336-342,共7页Laser & Optoelectronics Progress

摘　　要：利用三量子位Toffoli门等价于两个两量子位控制非门和三个两量子位控制相移门的组合,将每一个控制非门和控制相移门分别用核磁共振脉冲序列及两核自旋系统随时间自由演化算符的组合构成,依据控制非门和控制相移门作用于核自旋系统的顺序,构成量子Toffoli门的核磁共振物理实现,用Suzuki公式数值求解了含时薛定谔方程,验证了量子Toffoli门的核磁共振实现的正确性和可行性。The three-qubit Toffoli gate is equivalent to the combination of two two-qubit controlled NOT gates and three two-qubit controlled phase-shift gates.The controlled NOT and phase-shift gates respectively comprise a combination of nuclear-magnetic-resonance pulse sequences and a free development operator of two nuclear spins with time.According to the order in which the controlled NOT and phase-shift gates act on the nuclear spin system,the nuclear-magneticresonance-based physical realization of a quantum Toffoli gate is achieved.The time-dependent Schrödinger equation is numerically solved by the Suzuki formula to confirm the correctness and feasibility of the realization of the quantum Toffoli gate based on nuclear magnetic resonance.

关 键 词：量子光学 量子Toffoli门 Suzuki乘积公式 核磁共振 自由演化算符 

分 类 号：O431.2[机械工程—光学工程]