There exist several trials to describe chaos appeared in classical or quantum dynamical systems [?]. One of the present authors introduced Information Dynamics(ID for short) [18] as a frame to discuss complexity and chaos appeared in various fields, in which he tried to find a common basis by synthesizing the state change (dynamics) and the complexity associated with dynamical systems. Since th...

We propose a measure of quantum state complexity defined by minimizing the spread wave-function over all choices basis. Our is controlled "survival amplitude" for to remain unchanged, and can be efficiently computed in theories with discrete spectra. For continuous Hamiltonian evolution, it generalizes Krylov operator states. apply our methods harmonic inverted oscillators, particles on group m...

We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. generalize connection OTOC LE infinite dimensions extend it higher-order OTOCs multi-fold LEs. Novel applications of this intrinsic relation are proposed. also propose a relationship specific circuit complexity by us...

This contribution presents the results of an investigation on deterministic spatiotemporal chaos control by means of evolutionary algorithms. Three evolutionary algorithms are used for chaos control: differential evolution, self-organizing migrating algorithm and genetic algorithm. Models of spatiotemporal chaos, so called coupled map lattices, are used. The main aim of this investigation was t...