Exact JSD Contraction for Tensorized Binary Symmetric Channels
Abstract
This work derives a closed‑form expression for the Jensen–Shannon divergence contraction coefficient of the tensorized binary symmetric channel \( \mathrm{BSC}(\delta)^{\otimes n} \). The proof is fully analytical and establishes: (1) \(S_n\)-symmetrization, (2) interior optimality via \(f\)-divergence theory, (3) antipodal optimality via monotone likelihood ratio ordering, (4) the exact contraction formula in closed form.
Fields of Study & Subjects
Wireless Communication Security Techniques
Distributed Sensor Networks and Detection Algorithms
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026
- Document type
- Preprint