The regularized channel R'enyi divergence is continuous

arXiv:2609.29885 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Comments: 23 pages

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 7× in this paper · explained in 2 episodes
• Generalization — 5× in this paper · explained in 13 episodes
• Regularization — 5× in this paper · explained in 3 episodes
• Additivity — 4× in this paper · explained in 1 episode
• Adaptive Strategy — 1× in this paper · explained in 1 episode
• Axioms — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes

Sources

• Quantum Channel Stein's Lemma with an Exponential Strong Converse
• Universal quantum resource distillation via composite generalised quantum Stein's lemma
• Almost-iid information theory
• Robust generalized quantum Stein's lemma
• Security of Quantum Key Distribution
• Quantum Information Processing with Finite Resources -- Mathematical Foundations

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