Homogeneous Open Quantum Random Walks on a lattice
Probability
2015-09-02 v2 Operator Algebras
Abstract
We study Open Quantum Random Walks for which the underlying graph is a lattice, and the generators of the walk are translation-invariant. We consider the quantum trajectory associated with the OQRW, which is described by a position process and a state process. We obtain a central limit theorem and a large deviation principle for the position process, and an ergodic result for the state process. We study in detail the case of homogeneous OQRWs on a lattice, with internal space .
Cite
@article{arxiv.1408.1113,
title = {Homogeneous Open Quantum Random Walks on a lattice},
author = {Raffaella Carbone and Yan Pautrat},
journal= {arXiv preprint arXiv:1408.1113},
year = {2015}
}