activity
20122016
most citedReduction of Lie-Jordan Banach algebras and quantum states

26 citations · 45 across the 5 of their papers we have counts for

collaborators

7 papers

cond-mat.stat-mech2016

Classical nature of ordered quantum phases and origin of spontaneous symmetry breaking

M. Cianciaruso, S. M. Giampaolo, L. Ferro +4

We analyse the nature of spontaneous symmetry breaking in complex quantum systems by investigating the long-standing conjecture that the maximally symmetry-breaking quantum ground…

quant-ph2015★ 9 cited

Measuring quantumness: from theory to observability in interferometric setups

Leonardo Ferro, Rosario Fazio, Fabrizio Illuminati +3

We investigate the notion of quantumness based on the non-commutativity of the algebra of observables and introduce a measure of quantumness based on the mutual incompatibility of…

cond-mat.stat-mech2014★ 2 cited

Classical nature of ordered phases: origin of spontaneous symmetry breaking

M. Cianciaruso, L. Ferro, S. M. Giampaolo +2

We investigate the nature of spontaneous symmetry breaking in complex quantum systems by conjecturing that the maximally symmetry breaking quantum ground states are the most classi…

math-ph2013★ 8 cited

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…

math-ph2013

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…

math-ph2013

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…

math-ph2012★ 26 cited

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…