The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Quantum information processing is steadily progressing from a purely academic discipline
towards applications throughout science and industry. Transitioning from lab-based, proof-of …

Trapped ions are among the most promising systems for practical quantum computing (QC).
The basic requirements for universal QC have all been demonstrated with ions, and …

The field of quantum computing has grown from concept to demonstration devices over the
past 20 years. Universal quantum computing offers efficiency in approaching problems of …

This chapter sketches the foundations of the subject, discussing salient features of quantum
information, formulates a mathematical model of quantum computation and highlights some …

Extending the framework of statistical physics to the nonequilibrium setting has led to the
discovery of previously unidentified phases of matter, often catalyzed by periodic driving …

Quantum-classical hybrid algorithms are emerging as promising candidates for near-term
practical applications of quantum information processors in a wide variety of fields ranging …

A quantum simulator is a type of quantum computer that controls the interactions between
quantum bits (or qubits) in a way that can be mapped to certain quantum many-body …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …