Classical shadows of quantum states: scalable quantum-classical interfaces

29.05.2024 14:45 - 16:30

Richard Kueng (Johannes Kepler University Linz)

Abstract: Large-scale quantum (computing) experiments do not work in isolation. Substantial classical computing power is required to control the architecture and process its results. This necessarily creates information-transmission bottlenecks at the interface between quantum and classical realms. In this colloquium, I will present quantum-classical interfaces that address these information-transmission bottlenecks. Dubbed classical shadows (of quantum systems), these leverage frame theory and high-dimensional probability theory to obtain a succinct classical description of the underlying quantum system. These can then be used to efficiently predict many features of the quantum system in a streaming fashion. Building on these ideas, we also establish mathematically rigorous synergies between quantum experiments (to obtain data) and machine learning (to learn how to make predictions).

R.I. Bot (U Vienna), A. Mellit (U Vienna), J.L. Romero (U Vienna)

Sky Lounge, 12. OG, OMP 1