A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Quantum information processing relies on the precise control of non-classical states in the
presence of many uncontrolled environmental degrees of freedom. The interactions …

In the field of computer vision, recent works show that a pure MLP architecture mainly
stacked by fully-connected layers can achieve competing performance with CNN and …

Quantum Continuous Variables introduces the theory of continuous variable quantum
systems, from its foundations based on the framework of Gaussian states to modern …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

A wave function subject to unitary time evolution and exposed to measurements undergoes
pure state dynamics, with deterministic unitary and probabilistic measurement-induced state …

Coherence phenomena arise from interference, or the addition, of wave-like amplitudes with
fixed phase differences. Although coherence has been shown to yield transformative ways …

We derive field theory descriptions for measurement-induced phase transitions in free
fermion systems. We focus on a multiflavor Majorana chain, undergoing Hamiltonian …

We show that weak measurements can induce a quantum phase transition of interacting
many-body systems from an ergodic thermal phase with a large entropy to a nonergodic …

We study the entanglement entropy of the quantum trajectories of a free fermion chain under
continuous monitoring of local occupation numbers. We propose a simple theory for …