Analyzing the effect of feature mapping techniques along with the circuit depth in quantum supervised learning by utilizing quantum support vector machine

A quantum feature map encodes classical data to the quantum state space by using a quantum circuit. The repetition of such a circuit during encoding is a customize value known as depth. Encoding data to quantum state is a must step for applying Quantum machine learning (QML) to classical data. Utilizing different feature map techniques by varying several depths, this research uses a kernel-based quantum support vector machine (QSVM) to classify several datasets. The fundamental aim of such activities is to check whether feature map techniques can make any sense to supervised QML concerning their depths and the outcomes analysis concludes that maximum accuracy of any supervised QML model is obtained due to the selection of an essential feature map approach with appropriate circuit depth. The results also present that time consumption of any feature map technique increases linearly with the increase of feature map circuit depth. However, the outcome of this research will help anyone to estimate the feature map technique and circuit depth when executing QML.