Uniqueness and Optimality of Dynamical Extensions of Divergences
Gilad Gour
Abstract
We introduce an axiomatic approach for channel divergences and channel relative entropies that is based on three information-theoretic axioms of monotonicity under superchannels, i.e., generalized data processing inequality, additivity under tensor products, and normalization, similar to the approach given for the state domain in (2020), arXiv:
Topics & Concepts
Kullback–Leibler divergenceMathematicsUniquenessAxiomEntropy (arrow of time)Monotonic functionGeneralized relative entropyDivergence (linguistics)Pure mathematicsQuantum entanglementQuantumMathematical analysisGeometryQuantum mechanicsPhilosophyQuantum discordPhysicsStatisticsLinguisticsQuantum Information and CryptographyQuantum Computing Algorithms and ArchitectureStatistical Mechanics and Entropy