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 Fisher information matrix (QFIM) is a core concept in theoretical quantum
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …

Thermodynamics serves as a universal means for studying physical systems from an energy
perspective. In recent years, with the establishment of the field of stochastic and quantum …

In an isolated system, the time evolution of a given observable in the Heisenberg picture can
be efficiently represented in Krylov space. In this representation, an initial operator becomes …

The presence of noise or the interaction with an environment can radically change the
dynamics of observables of an otherwise isolated quantum system. We derive a bound on …

We consider the speed limit for classical stochastic Markov processes with and without the
local detailed balance condition. We find that, for both cases, a trade-off inequality exists …

We investigate the connection between the time evolution of averages of stochastic
quantities and the Fisher information and its induced statistical length. As a consequence of …

The total entropy production quantifies the extent of irreversibility in thermodynamic systems,
which is nonnegative for any feasible dynamics. When additional information such as the …

Any physical system evolves at a finite speed that is constrained not only by the energetic
cost but also by the topological structure of the underlying dynamics. In this Letter, by …

Physical systems powering motion and creating structure in a fixed amount of time dissipate
energy and produce entropy. Whether living, synthetic or engineered, systems performing …