Entanglement-Assisted Classical Capacities of Fermionic Multiplier Channels

Explore the mathematical foundations of quantum information theory in this BIMSA-Tsinghua Quantum Symmetry Seminar talk by Cédric Arhancet from Lapérouse high school in Albi, France. Delve into the precise computation of optimal rates for classical information transmission through quantum channels when sender and receiver share unlimited entanglement. The lecture focuses on a specific class of unital quantum channels acting on matrix algebras that function as multipliers when identified with finite-dimensional fermion algebras. Learn how this approach leverages an ergodic action of the discrete hypercube {−1, 1}^n on fermion algebras, and discover how the methodology can be extended to any ergodic action of compact abelian groups. The presentation draws from Arhancet's research published in the Journal of Functional Analysis and available on arXiv, showcasing his expertise as both an educator and prolific researcher with over 20 publications in prestigious mathematical journals.