A comparison of two quantum distances
Functional Analysis
2023-03-29 v2 Operator Algebras
Abstract
We show that Rieffel's quantum Gromov-Hausdorff distance between two compact quantum metric spaces is not equivalent to the ordinary Gromov-Hausdorff distance applied to the associated state spaces.
Keywords
Cite
@article{arxiv.2212.10874,
title = {A comparison of two quantum distances},
author = {Jens Kaad and David Kyed},
journal= {arXiv preprint arXiv:2212.10874},
year = {2023}
}
Comments
v2: a few typos fixed. To appear in Mathematical Physics, Analysis and Geometry