IQIM Postdoctoral and Graduate Student Seminar
Abstract: Randomized measurements provide a novel toolbox to probe today's noisy intermediate scale quantum devices. After a brief survey, I will focus in this talk on the study of many-body quantum chaos. For quantum spin models, I will present a protocol to access the spectral form factor revealing properties of the energy eigenvalue statistics. Furthermore, I will define partial spectral form factors which refer to subsystems of the many-body system. I will show that partial spectral form factors give unique insights into energy eigenstate statistics determining thermalization in closed quantum systems. The presented measurement protocol allows to access both, SFF and pSFFs, from a single experimental dataset. It provides a unified testbed to probe many-body quantum chaotic behavior and thermalization, determined by properties of energy eigenvalues and eigenstates, in quantum simulators.