5 papers
A groupoidal approach to quantum reference frames
Samuel Fedida, Alberto Ibort, Arnau Mas-Dorca
We develop the kinematical and operator-algebraic foundations of a groupoid-based relational quantum field theory (RQFT) on curved spacetimes. Indeed, the usual group-based quantum…
A groupoidal description of elementary particles
Alberto Ibort, Giuseppe Marmo, Arnau Mas +1
In this work, we show that extending the standard description of space-time symmetries from groups of isometries to the more flexible framework of kinematical groupoids allows for…
Schwarz maps with symmetry
Alfonso GarcÃa-Velo, Alberto Ibort
The theory of symmetry of quantum mechanical systems is applied to study the structure and properties of several classes of relevant maps in quantum information theory: CPTP, PPT a…
Smooth sets of fields: A pedagogical introduction
Alberto Ibort, Arnau Mas
In order to provide a good categorical setting to the many different spaces of fields arising in the description of physical theories, a pedagogical introduction to the categorical…
"Fields" in classical and quantum field theories
Alberto Ibort, Arnau Mas, Luca Schiavone
The challenges posed by the development of field theories, both classical and quantum, force us to question their most basic and foundational ideas like the role and origin of spac…