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quant-ph2026
Conditioning on Subalgebras - Entropy Duality and Generalized Quantum Stein's Lemma in von Neumann Algebras
Bjarne Bergh, Li Gao, Mizanur Rahaman
We establish duality relations for conditional entropies relative to subalgebras of arbitrary von Neumann algebras, including the Umegaki relative entropy as well as the sandwiched…
quant-ph2026
Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
Omar Fawzi, Li Gao, Mizanur Rahaman +1
We consider a quantum system described by a quantum channel that is applied at every time step and study the time evolution of its information capacities. When is a GNS-sym…