7 papers
Certifying entanglement dimensionality by -reduction moments
Changhao Yi, Xiaodi Li, Huangjun Zhu
In this paper, we combine the k-reduction map, the moment method, and the classical shadow method into a practical protocol for certifying the entanglement dimensionality. Our appr…
A single programmable photonic circuit for universal quantum measurements
Wen-Zhe Yan, Lan-Tian Feng, Zhibo Hou +7
Programmable photonic quantum processors face a critical challenge: despite significant advances in quantum state preparation and manipulation, measurements remain limited to proje…
Nearly query-optimal classical shadow estimation of unitary channels
Zihao Li, Changhao Yi, You Zhou +1
Classical shadow estimation (CSE) is a powerful tool for learning the properties of quantum states and quantum processes. Here we consider the CSE task for quantum unitary channels…
Auxiliary-Free Replica Shadows: Efficient Estimation of Multiple Nonlinear Quantum Properties
Qing Liu, Zihao Li, Xiao Yuan +2
Efficient estimation of nonlinear properties is a significant yet challenging task from quantum information processing to many-body physics. Current methodologies often suffer from…
Efficient certification of high-dimensional entanglement
Yiwen Wu, Zihao Li, Huangjun Zhu
High-dimensional entanglement (HDE) is a valuable resource in quantum information processing, and efficient certification of HDE is crucial to many applications. In this work, we p…
Qudit Shadow Estimation Based on the Clifford Group and the Power of a Single Magic Gate
Chengsi Mao, Changhao Yi, Huangjun Zhu
Shadow estimation is a sample-efficient protocol for learning the properties of a quantum system using randomized measurements, but the current understanding of qudit shadow estima…