Universal Super-Tensorization of Jensen-Shannon Divergence
Abstract
For any discrete memoryless channel W with equal support condition, we prove that lim(1 − η_JSD(W^⊗n))^{1/n} = BC_min(W), where BC_min is the minimum Bhattacharyya coefficient between output distributions. This establishes that bounded divergences exhibit super-tensorization (η → 1) with rate governed by the Chernoff exponent.
Fields of Study & Subjects
Wireless Communication Security Techniques
Random Matrices and Applications
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026
- Language
- EN
- Document type
- Preprint