Quantum metric spaces of quantum maps
Maysam Maysami Sadr
TL;DR
This paper introduces a canonical quantum semi-metric structure for quantum families of maps from non-commutative spaces to compact quantum metric spaces, advancing the understanding of quantum metric geometry.
Contribution
It establishes a new canonical semi-metric framework for quantum maps between non-commutative and compact quantum metric spaces.
Findings
Quantum families of maps possess a natural semi-metric structure.
The framework applies to non-commutative and quantum metric spaces.
Provides tools for quantum metric geometry analysis.
Abstract
We show that any quantum family of maps from a non commutative space to a compact quantum metric space has a canonical quantum semi metric structure.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Advanced Topics in Algebra