Speakers
ANGELA ROSY MORGILLO
Davide Poderini
(Department of Physics, University of Pavia)
Description
Positive non-decomposable maps play a fundamental role in quantum information theory, as they provide a tool to detect entanglement beyond what is possible with decomposable maps.
Despite their importance, relatively little is known about the structure of positive non-decomposable maps or systematic methods to generate them. In this work, we present a fully differentiable optimization technique based on semidefinite programming for generating positive non-decomposable maps.
We provide examples demonstrating how this approach can be used to test conjectures in quantum information theory.
Moreover we show how this method can be employed to find novel classes of non-decomposable maps, of which we present a complete characterization.
Primary authors
ANGELA ROSY MORGILLO
Davide Poderini
(Department of Physics, University of Pavia)
Co-authors
CHIARA MACCHIAVELLO
Prof.
Fabio Anselmi
(Dipartimento di Matematica, Informatica e Geoscienze, Università di Trieste)
Prof.
Fabio Benatti
(Dipartimento di Fisica, Università di Trieste)
MASSIMILIANO FEDERICO SACCHI
