A Comparison of Two Quantum Distances

Jens Kaad, David Kyed*

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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.

OriginalsprogEngelsk
Artikelnummer8
TidsskriftMathematical Physics, Analysis and Geometry
Vol/bind26
Udgave nummer1
Antal sider9
ISSN1385-0172
DOI
StatusUdgivet - mar. 2023

Bibliografisk note

Funding Information:
The authors gratefully acknowledge the financial support from the Independent Research Fund Denmark through Grant Nos. 9040-00107B, 7014-00145B and 1026-00371B.

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