5 citations · 8 across the 6 of their papers we have counts for
6 papers
Simulation of Adjoints and Petz Recovery Maps for Unknown Quantum Channels
Chengkai Zhu, Ziao Tang, Guocheng Zhen +3
Transformations of quantum channels, such as the transpose, complex conjugate, and adjoint, are fundamental to quantum information theory. Given access to an unknown channel, a cen…
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…
Online Quantum State Tomography via Stochastic Gradient Descent
Jian-Feng Cai, Yuling Jiao, Yinan Li +3
We initiate the study of online quantum state tomography (QST), where the matrix representation of an unknown quantum state is reconstructed by sequentially performing a batch of m…
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…
A Quantum-inspired Classical Algorithm for Separable Non-negative Matrix Factorization
Zhihuai Chen, Yinan Li, Xiaoming Sun +2
Non-negative Matrix Factorization (NMF) asks to decompose a (entry-wise) non-negative matrix into the product of two smaller-sized nonnegative matrices, which has been shown intrac…
Quantum asymptotic spectra of graphs and non-commutative graphs, and quantum Shannon capacities
Yinan Li, Jeroen Zuiddam
We study quantum versions of the Shannon capacity of graphs and non-commutative graphs. We introduce the asymptotic spectrum of graphs with respect to quantum and entanglement-assi…