Article Dans Une Revue Journal of Functional Analysis Année : 2025

Entanglement-assisted classical capacities of some channels acting as radial multipliers on fermion algebras

Résumé

We investigate a new class of unital quantum channels on M_{2k}, acting as radial multipliers when we identify the matrix algebra M_{2k} with a finite-dimensional fermion algebra. Our primary contribution lies in the precise computation of the (optimal) rate at which classical information can be transmitted through these channels from a sender to a receiver when they share an unlimited amount of entanglement. Our approach relies on new connections between fermion algebras with the n-dimensional discrete hypercube {-1, 1}^n. Significantly, our calculations yield exact values applicable to the operators of the fermionic Ornstein-Uhlenbeck semigroup. This advancement not only provides deeper insights into the structure and behaviour of these channels but also enhances our understanding of Quantum Information Theory in a dimension-independent context.

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hal-05089842 , version 1 (29-05-2025)

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Cédric Arhancet. Entanglement-assisted classical capacities of some channels acting as radial multipliers on fermion algebras. Journal of Functional Analysis, 2025, 288 (5), pp.110790. ⟨10.1016/j.jfa.2024.110790⟩. ⟨hal-05089842⟩
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