Quantum Information Scrambling in a Trapped-Ion Quantum Simulator with Tunable Range Interactions
Manoj K. Joshi, Andreas Elben, Benoît Vermersch, Tiff Brydges, Christine Maier, P. Zoller, R. Blatt, C. F. Roos
Abstract
In ergodic many-body quantum systems, locally encoded quantum information becomes, in the course of time evolution, inaccessible to local measurements. This concept of "scrambling" is currently of intense research interest, entailing a deep understanding of many-body dynamics such as the processes of chaos and thermalization. Here, we present first experimental demonstrations of quantum information scrambling on a 10-qubit trapped-ion quantum simulator representing a tunable long-range interacting spin system, by estimating out-of-time ordered correlators (OTOCs) through randomized measurements. We also analyze the role of decoherence in our system by comparing our measurements to numerical simulations and by measuring Rényi entanglement entropies.