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 …

The coherent superposition of states, in combination with the quantization of observables,
represents one of the most fundamental features that mark the departure of 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 …

Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

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 …

Can collective quantum effects make a difference in a meaningful thermodynamic
operation? Focusing on energy storage and batteries, we demonstrate that quantum …

One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …

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 …