3 papers
math-ph2019
(Co-)type and the linear stability of Wigner's symmetry theorem
Javier Cuesta
We study the relation between the linear stability of almost-symmetries and the geometry of the Banach spaces on which these transformations are defined. We show that any transform…
math-ph2019
A stable quantum Darmois-Skitovich theorem
Javier Cuesta
The Darmois-Skitovich theorem is a simple characterization of the normal distribution in terms of the independence of linear forms. We present here a non-commutative version of thi…
math-ph2018
Are almost-symmetries almost linear?
Javier Cuesta, Michael M. Wolf
It pends. Wigner's symmetry theorem implies that transformations that preserve transition probabilities of pure quantum states are linear maps on the level of density operators…