Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.
Hiai,Quantum f-divergences in von Neumann algebras
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
As a continuation of the paper [20] on standard $f$-divergences, we make a systematic study of maximal $f$-divergences in general von Neumann algebras. For maximal $f$-divergences, apart from their definition based on Haagerup's $L^1$-space, we present the general integral expression and the variational expression in terms of reverse tests. From these definition and expressions we prove important properties of maximal $f$-divergences, for instance, the monotonicity inequality, the joint convexity, the lower semicontinuity, and the martingale convergence. The inequality between the standard and the maximal $f$-divergences is also given.
citation-role summary
background 1
citation-polarity summary
years
2026 2roles
background 1polarities
background 1representative citing papers
Convexity of non-commutative L^p norms yields bounds on relative entropy for arbitrary excitations of faithful states in general von Neumann algebras, with uniform boundedness proven for single-particle states of the chiral current.
citing papers explorer
-
Relative entropy for $\lambda \phi^4$ in the Rindler wedge
Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.
-
Bounding relative entropy for non-unitary excitations in quantum field theory
Convexity of non-commutative L^p norms yields bounds on relative entropy for arbitrary excitations of faithful states in general von Neumann algebras, with uniform boundedness proven for single-particle states of the chiral current.