Probing mixed-state, symmetry-resolved, entanglement with randomized measurements
Benoît Vermersch (LPMMC Grenoble)
Online seminar — ZOOM Meeting ID: 970 5162 7987 — Password: ask L. Mazza and D. Petrov —
Recently, protocols based on statistical correlations of randomized measurements have been introduced to probe entanglement in synthetic quantum systems. This includes protocols to access Renyi entropies, many-body state fidelities, out-of-time-ordered correlators (OTOCs) and topological invariants, etc. In this seminar, I will first give a tutorial introduction to randomized measurements. Then, I will present our protocol for detecting and quantifying mixed-state entanglement in the framework of the positive-partial-transpose condition (PPT). Finally, I will discuss symmetry-resolved entanglement in synthetic quantum systems, and present a universal mechanism of purification and entanglement creation of many-body quantum states. In all parts of my talk, I will show experimental results obtained in the Innsbruck’s trapped ion quantum simulator.