Transition probabilities and transition rates in discrete phase space
Quantum Physics
2020-11-11 v2
Abstract
The evolution of the discrete Wigner function is formally similar to a probabilistic process, but the transition probabilities, like the discrete Wigner function itself, can be negative. We investigate these transition probabilities, as well as the transition rates for a continuous process, aiming particularly to give simple criteria for deciding when a set of such quantities corresponds to a legitimate quantum process. We also show how the transition rates for any Hamiltonian evolution can be worked out by expanding the Hamiltonian as a linear combination of displacement operators in the discrete phase space.
Cite
@article{arxiv.2007.10187,
title = {Transition probabilities and transition rates in discrete phase space},
author = {William F. Braasch and William K. Wootters},
journal= {arXiv preprint arXiv:2007.10187},
year = {2020}
}
Comments
13 pages; fuller explanations and additional references in v2