This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

Quantum technologies represent a rapidly evolving field in which the specific properties of
quantum mechanical systems are exploited to enhance the performance of various …

A bstract We study a notion of operator growth known as Krylov complexity in free and
interacting massive scalar quantum field theories in d-dimensions at finite temperature. We …

We give arguments for the existence of a thermodynamics of quantum complexity that
includes a “second law of complexity.” To guide us, we derive a correspondence between …

Variational hybrid quantum-classical algorithms (VHQCAs) are near-term algorithms that
leverage classical optimization to minimize a cost function, which is efficiently evaluated on …

We provide a general protocol to measure out-of-time-order correlation functions. These
correlation functions are of broad theoretical interest for diagnosing the scrambling of …

The spreading of quantum information in closed systems, often termed scrambling, is a
hallmark of many-body quantum dynamics. In open systems, scrambling competes with …

We develop a general theoretical framework for measurement protocols employing
statistical correlations of randomized measurements. We focus on locally randomized …

We demonstrate analytically and verify numerically that the out-of-time order correlator is
given by the thermal average of Loschmidt echo signals. This provides a direct link between …

We experimentally demonstrate a nonlinear detection scheme exploiting time-reversal
dynamics that disentangles continuous variable entangled states for feasible readout. Spin …