Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

In the past 20 years, impressive progress has been made both experimentally and
theoretically in superconducting quantum circuits, which provide a platform for manipulating …

Superconducting circuits are a competitive platform for quantum computation because they
offer controllability, long coherence times and strong interactions—properties that are …

Photonic synthetic materials provide an opportunity to explore the role of microscopic
quantum phenomena in determining macroscopic material properties. There are, however …

After two decades of development, cavity quantum electrodynamics with superconducting
circuits has emerged as a rich platform for quantum computation and simulation. Lattices of …

Recent experimental developments in diverse areas—ranging from cold atomic gases to
light-driven semiconductors to microcavity arrays—move systems into the focus which are …

Condensed matter physics has been driven forward by significant experimental and
theoretical progress in the study and understanding of equilibrium phase transitions based …

Variational quantum algorithms have been proposed to solve static and dynamic problems
of closed many-body quantum systems. Here we investigate variational quantum simulation …

This work explores a fundamental dynamical structure for a wide range of many-body
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …

In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …