11 papers
Markovian dynamics of single-rebit open quantum systems with applications to colour perception
Michel Berthier, Gabriel Niebel, Edoardo Provenzi
This paper investigates the Markovian dynamics of open two-state quantum systems defined over the real numbers (rebits). Two main objectives are pursued. First, we present a compre…
An Operational Quantum Information Framework for Experimental Studies on Color Perception
Roberto Leporini, Edoardo Provenzi, Michel Berthier
Starting from the foundational axiomatization of the perceptual color space initiated by Schrödinger in 1920 and eventually refined by Resnikoff in 1974, Berthier, Provenzi and th…
A Perceptually Inspired Variational Framework for Color Enhancement
Rodrigo Palma-Amestoy, Edoardo Provenzi, Marcelo BertalmÃo +1
Basic phenomenology of human color vision has been widely taken as an inspiration to devise explicit color correction algorithms. The behavior of these models in terms of significa…
On the Monotonicity of relative entropy: A Comparative Study of Petz's and Uhlmann's Approaches
Santiago Matheus, Francesco Bottacin, Edoardo Provenzi
We revisit the monotonicity of relative entropy under the action of quantum channels, a foundational result in quantum information theory. Among the several available proofs, we fo…
The classification of rebit quantum channels
Michele Aldé, Michel Berthier, Edoardo Provenzi
The classification of qubit channels is known since 2002. However, that of rebit channels has never been studied so far, maybe because of the scarcity of concrete rebit examples. I…
Split-quaternions for perceptual white balance
Michel Berthier, Nicoletta Prencipe, Edoardo Provenzi
We propose a perceptual chromatic adaptation transform for white balance that makes use of split-quaternions. The novelty of the present work, which is motivated by a recently deve…