Non-abelian Weyl Commutation Relations and the Series Product of Quantum Stochastic Evolutions
Mathematical Physics
2014-04-14 v1 math.MP
Quantum Physics
Abstract
We show that the series product, which serves as an algebraic rule for connecting state-based input/output systems, is intimately related to the Heisenberg group and the canonical commutation relations. The series product for quantum stochastic models then corresponds to a non-abelian generalization of the Weyl commutation relation. We show that the series product gives the general rule for combining the generators of quantum stochastic evolutions using a Lie-Trotter product formula.
Keywords
Cite
@article{arxiv.1309.0559,
title = {Non-abelian Weyl Commutation Relations and the Series Product of Quantum Stochastic Evolutions},
author = {D. Gwion Evans and J. E. Gough and M. R. James},
journal= {arXiv preprint arXiv:1309.0559},
year = {2014}
}
Comments
12 pages