Single-qubit quantum classifier based on gradient-free optimization algorithm

Abstract

In the paper, the single-qubit quantum classifier(SQC) based on a gradient-free optimization(GFO) algorithm, named GFO-based SQC, is proposed to overcome the effects of barren plateau caused by quantum devices. Here, a rotation gate R X (φ) is applied on the single-qubit binary quantum classifier, and the training data and parameters are loaded into φ with the form of vector multiplication. The cost function is decreased by finding the value of each parameter that yields the minimum expectation value of measuring the quantum circuit. The algorithm is performed iteratively for all parameters one by one until the cost function satisfies the stop condition. The proposed GFO-based SQC is demonstrated for classification tasks in Iris and MNIST datasets and compared with the Adam-based SQC and quantum support vector machine(QSVM). Furthermore, the performance of the GFO-based SQC is discussed when the rotation gate in the quantum device is under different noise. The simulation results show that the GFO-based SQC can reach a high accuracy with reduced time. Additionally, the proposed GFO algorithm can quickly complete the training process of the SQC. Importantly, the GFO-based SQC has a good performance in noisy environments.

Gray code based gradient-free optimization algorithm for parameterized quantum circuit

“…Parameterized quantum circuits (PQCs) offer a useful way to implement quantum algorithms [1][2][3][4][5][6][7][8][9][10] and can demonstrate quantum supremacy in the noisy intermediate scale quantum (NISQ) area. [11][12][13][14][15] PQCs are typically composed of fixed gates, e.g., controlled NOTs, or adjustable gates with phase rotations.…”