Theoretical Error Performance Analysis for Variational Quantum Circuit Based Functional Regression. (arXiv:2206.04804v2 [quant-ph] UPDATED)

The noisy intermediate-scale quantum (NISQ) devices enable the implementation
of the variational quantum circuit (VQC) for quantum neural networks (QNN).
Although the VQC-based QNN has succeeded in many machine learning tasks, the
representation and generalization powers of VQC still require further
investigation, particularly when the dimensionality of classical inputs is
concerned. In this work, we first put forth an end-to-end quantum neural
network, TTN-VQC, which consists of a quantum tensor network based on a
tensor-train network (TTN) for dimensionality reduction …

analysis arxiv error performance performance analysis quantum regression