8 papers
Dimension-Free Polylogarithmic Quantum Shadow Tomography from Sequential Pretty-Good Measurements
Fernando Granha Jeronimo, Qizhao Huang, Lenny Liu
\textit{Shadow tomography} is a fundamental problem in quantum information theory. Given multiple copies of an unknown -dimensional quantum state and a known collection of o…
Optimal Proximity Gap for Folded Reed--Solomon Codes via Subspace Designs
Fernando Granha Jeronimo, Lenny Liu, Pranav Rajpal
A collection of sets satisfies a -proximity gap with respect to some property if for every set in the collection, either (i) all members of the set are -close…
Fairness risk and its privacy-enabled solution in AI-driven robotic applications
Le Liu, Bangguo Yu, Nynke Vellinga +1
Complex decision-making by autonomous machines and algorithms could underpin the foundations of future society. Generative AI is emerging as a powerful engine for such transitions.…
A Randomized Scheduling Framework for Privacy-Preserving Multi-robot Rendezvous given Prior Information
Le Liu, Yu Kawano, Ming Cao
Privacy has become a critical concern in modern multi-robot systems, driven by both ethical considerations and operational constraints. As a result, growing attention has been dire…
Privacy protection under the exposure of systems' prior information
Le Liu, Yu Kawano, Ming Cao
For systems whose states implicate sensitive information, their privacy is of great concern. While notions like differential privacy have been successfully introduced to dynamical…
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
Le Liu, Yu Kawano, Antai Xie +1
In this paper, we investigate initial state privacy protection for discrete-time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy cha…