4 papers
Approximation Error Upper and Lower Bounds for Hölder Class with Transformers
Xin He, Yuling Jiao, Xiliang Lu +1
We explore the expressive power of Transformers by establishing precise approximation error upper and lower bounds for Hölder class. Specifically, a new approximation upper bound…
Near-optimal Prediction Error Estimation for Quantum Machine Learning Models
Qiuhao Chen, Yuling Jiao, Yinan Li +2
Understanding the theoretical capabilities and limitations of quantum machine learning (QML) models to solve machine learning tasks is crucial to advancing both quantum software an…
Non-asymptotic Approximation Error Bounds of Parameterized Quantum Circuits
Zhan Yu, Qiuhao Chen, Yuling Jiao +4
Parameterized quantum circuits (PQCs) have emerged as a promising approach for quantum neural networks. However, understanding their expressive power in accomplishing machine learn…
Quantum Compiling with Reinforcement Learning on a Superconducting Processor
Z. T. Wang, Qiuhao Chen, Yuxuan Du +16
To effectively implement quantum algorithms on noisy intermediate-scale quantum (NISQ) processors is a central task in modern quantum technology. NISQ processors feature tens to a…