A comparison of two quantum distances
arXiv:2212.10874 · doi:10.1007/s11040-023-09451-y
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.
v2: a few typos fixed. To appear in Mathematical Physics, Analysis and Geometry