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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
Tight Entropy Contraction of Generalized Quantum Depolarization
Li Gao, Long Zhao
We establish upper and lower bounds for relative entropy contraction of generalized quantum depolarizing channels and semigroups. Our bound provides tight first order asymptotic of…
quant-ph2026
A solution to 2-copy distillability of Werner states
Jinshi Fu, Li Gao, Sang-Jun Park
Entanglement distillation is a fundamental task in quantum information theory. In this work, we prove that Werner states in arbitrary dimension are -copy distillable if and only…