Optimization for accurate approximations of operators on a quantum computer
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As a part of efforts to realize practical uses of quantum computers, the development of the technique of controlling spin systems is an essential element. This study focuses on the issue of optimization for the control of a coupled spin system. Based on the idea of optimal control for the design of pulse sequences in NMR spectroscopy, a mathematical framework is presented for the approximation of the coupled spin operators including the controlled-not (CNOT) operation as an important gate in quantum computing systems. Finally we suggest an algorithm for the periodic control of coupled qubit systems.