@techreport{oai:ipsj.ixsq.nii.ac.jp:00220430,
 author = {Kaito, Wada and Rudy, Raymond and Yuki, Sato and Hiroshi, C. Watanabe and Kaito, Wada and Rudy, Raymond and Yuki, Sato and Hiroshi, C. Watanabe},
 issue = {26},
 month = {Oct},
 note = {We propose a new quantum algorithm based on analytically-maximum optimization of a single-qubit gate in parameterized quantum circuits (PQCs). Variational quantum algorithms on near-term quantum devices depend on the ability to optimize objective functions with hardware-efficient PQCs. Standard optimizations utilize single-parameter quantum gates in PQCs whose rotation angles along fixed axes are parametrized. The parameters are then updated by gradient or by sequential quantum optimization. A conventional sequential optimizer utilizes sinusoidal properties to directly find local optima regarding a single-qubit gate. A recent method proposed sequential optimization of multi-parameter single-qubit gates in PQCs whose parameters are the rotation axes of quantum gates with fixed half-rotation angles. Here, unifying and extending the existing methods, we derive the maximum optimization of a single-qubit gate from the framework of matrix factorization. We perform numerical experiments demonstrating the efficacy of the framework., We propose a new quantum algorithm based on analytically-maximum optimization of a single-qubit gate in parameterized quantum circuits (PQCs). Variational quantum algorithms on near-term quantum devices depend on the ability to optimize objective functions with hardware-efficient PQCs. Standard optimizations utilize single-parameter quantum gates in PQCs whose rotation angles along fixed axes are parametrized. The parameters are then updated by gradient or by sequential quantum optimization. A conventional sequential optimizer utilizes sinusoidal properties to directly find local optima regarding a single-qubit gate. A recent method proposed sequential optimization of multi-parameter single-qubit gates in PQCs whose parameters are the rotation axes of quantum gates with fixed half-rotation angles. Here, unifying and extending the existing methods, we derive the maximum optimization of a single-qubit gate from the framework of matrix factorization. We perform numerical experiments demonstrating the efficacy of the framework.},
 title = {Full optimization of a single-qubit gate on the generalized sequential quantum optimizer},
 year = {2022}
}