Characterizations of the automorphisms of Hilbert space effect algebras

Abstract

In this paper we characterize the automorphisms of Hilbert space effect algebras by means of their preserving properties which concern certain relations and quantities appearing in quantum measurement theory.

15 pages. To appear in Commun. Math. Phys

References in corpus (1)

• Effects as functions on projective Hilbert space

Cited by in corpus (11)

• Notes on Joint Measurability of Quantum Observables
• Coexistence of qubit effects
• Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles
• A simple sufficient condition for the coexistence of quantum effects
• A geometric characterization of invertible quantum measurement maps
• Characterization of segment and convexity preserving maps
• Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations
• BRST quantization of quasi-symplectic manifolds and beyond
• An extension of a characterization of the automorphisms of Hilbert space effect algebras
• Preserving the measure of compatibility between quantum states
• Continuous coexistency preservers on effect algebras