Characterization of the Sequential Product on Quantum Effects

Abstract

We present a characterization of the standard sequential product of quantum effects. The characterization is in term of algebraic, continuity and duality conditions that can be physically motivated.

11 pages. Accepted for publication in the Journal of Mathematical Physics

Cited by in corpus (14)

• Sequential product on standard effect algebra $\mathcal{E}(H)$
• Sequential Product Spaces are Jordan Algebras
• The Uniqueness Problem of Sequence Product on Operator Effect Algebra $\epsilon (H)$
• A universal property for sequential measurement
• The Category of Von Neumann Algebras
• Dagger and Dilation in the Category of Von Neumann algebras
• Contexts in Convex and Sequential Effect Algebras
• Three characterisations of the sequential product
• The three types of normal sequential effect algebras
• Pure Maps between Euclidean Jordan Algebras
• Conditioned Observables in Quantum Mechanics
• The Continuity of Sequential Product of Sequential Quantum Effect Algebras
• Time Evolution of Quantum Effects
• The n-th root of sequential effect algebras