Generalized Product Formulas and Quantum Control
Quantum Physics
2019-10-02 v1 Mathematical Physics
math.MP
Abstract
We study the quantum evolution under the combined action of the exponentials of two not necessarily commuting operators. We consider the limit in which the two evolutions alternate at infinite frequency. This case appears in a plethora of situations, both in physics (Feynman integral) and mathematics (product formulas). We focus on the case in which the two evolution times are scaled differently in the limit and generalize standard techniques and results.
Cite
@article{arxiv.1906.04498,
title = {Generalized Product Formulas and Quantum Control},
author = {Daniel Burgarth and Paolo Facchi and Giovanni Gramegna and Saverio Pascazio},
journal= {arXiv preprint arXiv:1906.04498},
year = {2019}
}
Comments
23 pages, 6 figures