Predicting Many Properties of a Quantum System From Very Few Measurements

Explore a cutting-edge lecture on quantum system measurement efficiency presented at the Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 workshop. Delve into Richard Kueng's research on constructing approximate classical descriptions of quantum states using minimal measurements. Learn about the concept of classical shadows and how they can predict multiple properties of quantum systems. Discover how this method achieves measurement requirements independent of system size and meets information-theoretic lower bounds. Understand the advantages of classical shadows in terms of storage and data processing due to their tensor product decomposition. Gain insights into this collaborative work with Robert Huang and John Preskill from Caltech, aimed at advancing quantum technologies through efficient information extraction techniques.