On some automorphisms of the set of effects on Hilbert space

Abstract

The set of all efects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

arXiv comment9 pages. To appear in Lett. Math. Phys

References in corpus (1)

• Effects as functions on projective Hilbert space

Cited by in corpus (2)

• Characterizations of the automorphisms of Hilbert space effect algebras
• A geometric characterization of invertible quantum measurement maps