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We analyze a binary classification problem by using a support vector machinebased on variational quantum-circuit model. We propose to solve a linearequation of the support vector machine by using a $\Gamma$ matrix expansion. Inaddition, it is shown that an arbitrary quantum state is prepared by optimizinga universal quantum circuit representing an arbitrary $U(2^N)$ based on thesteepest descent method. It may be a quantum generalization ofField-Programmable-Gate Array (FPGA).

Variational Quantum Support Vector Machine based on $\Gamma$ matrix expansion and Variational Universal-Quantum-State Generator