174 citations · 1.3k across the 43 of their papers we have counts for
4 papers · 1 filter
Sufficiency in quantum statistical inference
Anna Jencova, Denes Petz
This paper attempts to develop a theory of sufficiency in the setting of non-commutative algebras parallel to the ideas in classical mathematical statistics. Sufficiency of a coars…
Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
Denes Petz, Julia Reffy
Let be an Haar unitary matrix and be its truncation. In this paper the large deviation is proven for the empirical eigenvalue density of…
Equilibrium states and their entropy densities in gauge-invariant C*-systems
N. Akiho, F. Hiai, D. Petz
A gauge-invariant C*-system is obtained as the fixed point subalgebra of the infinite tensor product of full matrix algebras under the tensor product unitary action of a compact gr…
A simple proof of the strong subadditivity inequality
Michael A. Nielsen, Denes Petz
Arguably the deepest fact known about the von Neumann entropy, the strong subadditivity inequality is a potent hammer in the quantum information theorist's toolkit. This short tuto…