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Abstract
Implementation of quantum gates are important for quantum computations in physical system made of polar molecules. We investigate the feasibility of implementing gates based on pendular states of the molecular system by two different quantum optical control methods. Firstly, the Multi-Target optimal control theory and the Multi-Constraint optimal control theory are described for optimizing control fields and accomplish the optimization of quantum gates. Numerical results show that the controlled NOT gate (CNOT) can be realized under the control of above methods with high fidelities (0.975 and 0.999) respectively. In addition, in order to examine the dependence of the fidelity on energy difference in the same molecular system, the SWAP gate in the molecular system is also optimized with high fidelity (0.999) by the Multi-Constraint optimal control theory with the zero-area and constant-fluence constraints.
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Details
1 Xianyang Normal University, Department of Physics and Electronic Engineering, Shaanxi, China (GRID:grid.459947.2) (ISNI:0000 0004 1765 5556); East China Normal University, State Key Laboratory of Precision Spectroscopy, Department of Physics, Shanghai, China (GRID:grid.22069.3f) (ISNI:0000 0004 0369 6365)
2 East China Normal University, State Key Laboratory of Precision Spectroscopy, Department of Physics, Shanghai, China (GRID:grid.22069.3f) (ISNI:0000 0004 0369 6365)
3 Xianyang Normal University, Department of Physics and Electronic Engineering, Shaanxi, China (GRID:grid.459947.2) (ISNI:0000 0004 1765 5556)