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 …

Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Among the many computational challenges faced across different disciplines, quantum-
mechanical systems pose some of the hardest ones and offer a natural playground for the …

A major bottleneck in the development of scalable many-body quantum technologies is the
difficulty in benchmarking state preparations, which suffer from an exponential 'curse of …

The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

Quantum simulation on emerging quantum hardware is a topic of intense interest. While
many studies focus on computing ground-state properties or simulating unitary dynamics of …

We present a novel method to simulate the Lindblad equation, drawing on the relationship
between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations …

We study the collective effects that emerge in waveguide quantum electrodynamics where
several (artificial) atoms are coupled to a one-dimensional superconducting transmission …

The enormous experimental progress in atomic, molecular, and optical (AMO) physics
during the last decades allows us nowadays to isolate single, a few or even many-body …