Scheme for Designing Quantum Logic Gate via Integrated Optimal Control and Genetic Algorithm

• Main Authors: Kun-YouPeng, 彭崑祐
• Other Authors: Chi-Chuan Hwang
• Format: Others
• Language: zh-TW
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/31124856046612598635

碩士 === 國立成功大學 === 工程科學系 === 103 === In this thesis, we focus on diatomic molecular system (C^12 O^16) whether through laser pulse shaping simulation experiment to achieve quantum computation and the feasibility of quantum logic gate operations. The simulation often used two algorithms to control the electric field. One is optimal algorithm which can seek the laser pulse electric field used by the permutations between the frequency location and electric field amplitude through the greatest flexibility in the time domain, but it’s often doubt whether this electric field can be modulated in the actual experiment. Two is genetic algorithm which is a heuristic search method, the main task is search laser electric field within appropriate range of laser pulse waveform in the discrete frequency domain, due to the quantum bit (qubit) gradually raise up will cause search result divergence which led to non-convergence. Therefore, this project will be a combination of two methods which is the integrated optimal control and genetic algorithm to overcome these problems. At first, use the optimal control theory to obtain the initial electric field of the quantum logic gates and select the important frequency position to make reservations, then use by chromosomes form to encoding electric field and adjusting experimental parameter. Let it be initial electric field in genetic algorithm, and after evolving to achieve optimal feasibility pulsed laser electric field. Finally, this thesis has successfully simulated one qubit Hadamard and NOT gates, two qubit CNOT gate and three qubit Toffoli gate.