Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical
systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is …

We investigate the detailed properties of observational entropy, introduced by Šafránek et
al.[Phys. Rev. A 99, 010101 (2019) 10.1103/PhysRevA. 99.010101] as a generalization of …

We analyze the ergodic properties of quantum channels that are covariant with respect to
diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in …

We introduce the out-of-time-correlation (OTOC) with the Planck cell resolution. The
dependence of this OTOC on the initial state makes it function like a microscope, allowing us …

The theoretical cornerstone of statistical mechanics is the ergodic assumption, ie the
assumption that the time average of an observable equals its ensemble average. Here, we …

We show that there is genuine chaos in quantum dynamics by introducing a physical
distance between two quantum states. Qualitatively different from existing distances for …

In a quantum system, different energy eigenstates have different properties or features,
allowing us to define a classifier to divide them into different groups. We find that the ratio of …

We study the thermalization of an ensemble of N elementary, arbitrarily complex, quantum
systems, mutually noninteracting but coupled as electric or magnetic dipoles to a blackbody …

We propose a generalization of the quantum entropy introduced by Wigner and von
Neumann [Z. Phys. 57, 30 (1929) 10.1007/BF01339852]. Our generalization is applicable to …

The cognitive and evidential features of the graph discipline are significantly influenced by
the implementation of graph operations. Molecular descriptor acts as a fundamental network …