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quant-ph2026
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…
quant-ph2025
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…
quant-ph2025
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…