BIMSA >
BIMSA-Tsinghua Quantum Symmetry Seminar
BIMSA-Tsinghua Quantum Symmetry Seminar
Entanglement-assisted classical capacities of some channels acting as multipliers on fermion algebras
Entanglement-assisted classical capacities of some channels acting as multipliers on fermion algebras
Organizers
Speaker
Cédric Arhancet
Time
Wednesday, May 14, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
In this talk, we will present a precise computation of the (optimal) rate at which classical information can be transmitted through some quantum channels from a sender to a receiver when they share an unlimited amount of entanglement. The channels under investigation belong to a new class of unital quantum channels acting on matrix algebras, which act as multipliers when the matrix algebra is identified with a finite-dimensional fermion algebra. Our approach relies on an ergodic action of the discrete hypercube $\{−1, 1\}^n$ on the fermion algebra.
If time permits, we will also discuss how this method can be greatly generalized to encompass any ergodic action of a compact abelian group, thereby introducing a broad class of quantum channels for which the aforementioned transmission rate can be explicitly computed for each ergodic action.
References:
https://arxiv.org/abs/2008.12019
and
https://doi.org/10.1016/j.jfa.2024.110790 (Journal of Functional Analysis)
If time permits, we will also discuss how this method can be greatly generalized to encompass any ergodic action of a compact abelian group, thereby introducing a broad class of quantum channels for which the aforementioned transmission rate can be explicitly computed for each ergodic action.
References:
https://arxiv.org/abs/2008.12019
and
https://doi.org/10.1016/j.jfa.2024.110790 (Journal of Functional Analysis)
Speaker Intro
Cédric teaches to second-year students while also conducting research in Functional Analysis. He has already published over 20 papers, many of which appear in prestigious journals such as Advances in Mathematics, Journal of Functional Analysis, Transactions of the AMS.