In this review, after providing the basic physical concept behind quantum annealing (or
adiabatic quantum computation), we present an overview of some recent theoretical as well …

This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

Quantum simulation has emerged as a valuable arena for demonstrating and understanding
the capabilities of near-term quantum computers,–. Quantum annealing, has been …

In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

The quantum approximate optimization algorithm (QAOA) has proved to be an effective
classical-quantum algorithm serving multiple purposes, from solving combinatorial …

The number of topological defects created in a system driven through a quantum phase
transition exhibits a power-law scaling with the driving time. This universal scaling law is the …

Many important challenges in science and technology can be cast as optimization problems.
When viewed in a statistical physics framework, these can be tackled by simulated …

We present here various techniques to work with clean and disordered quantum Ising
chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner …

We propose a reinforcement learning (RL) scheme for feedback quantum control within the
quantum approximate optimization algorithm (QAOA). We reformulate the QAOA variational …