Gentle measurements of quantum states
Conference
65th ISI World Statistics Congress
Format: IPS Abstract - WSC 2025
Keywords: "privacy, quantum
Session: IPS 996 - Privacy in Statistics: Recent Advances
Tuesday 7 October 10:50 a.m. - 12:30 p.m. (Europe/Amsterdam)
Abstract
Gentle measurements of quantum states result in both a random variable and a non-collapsed post-measurement state which is at a prescribed trace-distance from the initial state. Unlike collapsed states, this can be further used in quantum computing. Using the connection to Differential privacy we introduce locally gentle measurements of finite-dimensional quantum states and prove a quantum data processing inequality for such measurements. We introduce physically feasible gentle measurements and show optimal rates for learning and testing quantum states.