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 …

The theory of open quantum systems is one of the most essential tools for the development
of quantum technologies. Furthermore, the Lindblad (or Gorini-Kossakowski-Sudarshan …

Recent evidence suggests that a variety of organisms may harness some of the unique
features of quantum mechanics to gain a biological advantage. These features go beyond …

Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

Photosynthetic antenna complexes capture and concentrate solar radiation by transferring
the excitation to the reaction center that stores energy from the photon in chemical bonds …

Quantum walks of correlated particles offer the possibility of studying large-scale quantum
interference; simulating biological, chemical, and physical systems; and providing a route to …

Quantum control is concerned with active manipulation of physical and chemical processes
on the atomic and molecular scale. This work presents a perspective of progress in the field …

Environmental noise and disorder play critical roles in quantum particle and wave transport
in complex media, including solid-state and biological systems. While separately both effects …

The observation of long-lived electronic coherence in a photosynthetic pigment–protein
complex, the Fenna–Matthews–Olson (FMO) complex, is suggestive that quantum …