4 papers
Faster Learning under Relaxed Local Differential Privacy
Cristina Butucea, Huiyun Tang, Marie-Luce Taupin
We consider density estimation under the relaxed local differential privacy condition that the privatized distributions are -close in total variation distance. We show that addi…
Optimal estimation of high-dimensional quantum states using locally gentle measurements
Cristina Butucea, Jan Johannes, Henning Stein
We study the task of estimating a dimensional quantum state under the constraint that the measurement is gentle. Such measurements do not collapse the state; they i…
Locally Gentle State Certification for High Dimensional Quantum Systems
Cristina Butucea, Jan Johannes, Henning Stein
Standard approaches to quantum statistical inference rely on measurements that induce a collapse of the wave function, effectively consuming the quantum state to extract informatio…
Sample-optimal learning of quantum states using gentle measurements
Cristina Butucea, Jan Johannes, Henning Stein
Gentle measurements of quantum states do not entirely collapse the initial state. Instead, they provide a post-measurement state at a prescribed trace distance from the initial…