26 citations · 45 across the 5 of their papers we have counts for
4 papers · 1 filter
Defining quantumness via the Jordan product
Paolo Facchi, Leonardo Ferro, Giuseppe Marmo +1
We propose alternative definitions of classical states and quantumness witnesses by focusing on the algebra of observables of the system. A central role will be assumed by the anti…
Reduction of Lie--Jordan algebras: Quantum
F. Falceto, L. Ferro, A. Ibort +1
In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie--Jordan Banach algebras, which are…
Reduction of Lie-Jordan algebras: Classical
F. Falceto, L. Ferro, A. Ibort +1
In this paper we present a unified algebraic framework to discuss the reduction of classical and quantum systems. The underlying algebraic structure is a Lie-Jordan algebra supplem…
Reduction of Lie-Jordan Banach algebras and quantum states
F. Falceto, L. Ferro, A. Ibort +1
A theory of reduction of Lie-Jordan Banach algebras with respect to either a Jordan ideal or a Lie-Jordan subalgebra is presented. This theory is compared with the standard reducti…