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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Therese Basa Landry
UCSB
Quantum Wasserstein Distance on the Quantum Permutation Group
Abstract:
We investigate quantum compact groups which support quantum metric space structure. In our core example, we define an analog of the Hamming metric on the quantum permutation group $S_n^+$. The construction of our quantum metric relies on the work of Biane and Voiculescu. We also obtain an associated quantum 1-Wasserstein distance on the tracial state space of $C(S_n^+)$. This is joint work with David Jekel and Anshu.
November 4, 2025
11:00 AM
APM 6402
Research Areas
Functional Analysis / Operator Theory****************************
