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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)