The problem of computing the quantum dynamical entropy introduced by Alicki and Fannes requires the trace of the operator function $F(\Omega) = - \Omega \log \Omega$, where $\Omega$ is a non-negative, Hermitean operator. Physical significance demands that this operator be a matrix of large order. We study its properties and we derive efficient algorithms to solve this problem, also implementable on parallel machines with distributed memory. We rely on a Lanczos technique for large matrix computations developed by Gene Golub.
|Data di pubblicazione:||2008|
|Titolo:||Quantum dynamical entropy and an algorithm by Gene Golub|
|Rivista:||ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS|
|Parole Chiave:||Quantum dynamical entropy; large matrices; Lanczos method; Montecarlo techniques.|
|Appare nelle tipologie:||Articolo su Rivista|