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 …

Continuously measured quantum systems are characterized by an output current, in the form
of a stochastic and correlated time series, which conveys crucial information about the …

Exceptional points (EPs) correspond to degeneracies of open systems. These are attracting
much interest in optics, optoelectronics, plasmonics, and condensed matter physics. In the …

A state of an open quantum system is described by a density matrix, whose dynamics is
governed by a Liouvillian superoperator. Within a general framework, we explore …

The performance of a wide range of quantum computing algorithms and protocols depends
critically on the fidelity and speed of the employed qubit readout. Examples include gate …

The possibility to simulate the properties of many-body open quantum systems with a large
number of degrees of freedom (dof) is the premise to the solution of several outstanding …

Physical systems close to a quantum phase transition exhibit a divergent susceptibility,
suggesting that an arbitrarily high precision may be achieved by exploiting quantum critical …

Bosonic quantum codes redundantly encode quantum information in the states of a quantum
harmonic oscillator, making it possible to detect and correct errors. Schrödinger cat codes …

Bistable dynamical systems are widely employed to robustly encode classical bits of
information. However, they owe their robustness to inherent losses, making them unsuitable …

Symmetry-breaking transitions are a well-understood phenomenon of closed quantum
systems in quantum optics, condensed matter, and high energy physics. However, symmetry …