Regularized barycentric R'enyi divergences

arXiv:2609.17517 · quant-ph, cs.IT, math-ph, math.FA, math.IT, math.MP · Submitted 2026-09-15 · Read on arXiv

quant-ph, cs.IT, math-ph, math.FA, math.IT, math.MP

Submitted: 2026-09-15

Updated: 2026-10-13

Comments: 21 pages. v4: Improved presentation, slightly stronger results

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

Terminology

• Additivity — 21× in this paper · explained in 1 episode
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Generalization — 5× in this paper · explained in 13 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Error Exponents — 1× in this paper · explained in 2 episodes

Sources

• On the optimal error exponents for classical and quantum antidistinguishability
• Geometric relative entropies and barycentric R'enyi divergences

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