A Perron–Frobenius Type of Theorem for Quantum Operations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-017-1862-3
Abstract: We define a special class of quantum operations we call Markovian and show that it has the same spectral properties as a corresponding Markov chain. We then consider a convex combination of a quantum operation… read more here.
Keywords: quantum; partially decoherent; quantum operations; theorem ... See more keywords
Koopman and Perron-Frobenius operators on reproducing kernel Banach spaces.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0094889
Abstract: Koopman and Perron-Frobenius operators for dynamical systems are becoming popular in a number of fields in science recently. Properties of the Koopman operator essentially depend on the choice of function spaces where it acts. Particularly,… read more here.
Keywords: frobenius operators; koopman perron; perron frobenius; reproducing kernel ... See more keywords