Contexts in Convex and Sequential Effect Algebras
@article{Gudder2019ContextsIC, title={Contexts in Convex and Sequential Effect Algebras}, author={Stanley P. Gudder}, journal={Electronic Proceedings in Theoretical Computer Science}, year={2019} }
A convex sequential effect algebra (COSEA) is an algebraic system with three physically motivated operations, an orthogonal sum, a scalar product and a sequential product. The elements of a COSEA correspond to yes-no measurements and are called effects. In this work we stress the importance of contexts in a COSEA. A context is a finest sharp measurement and an effect will act differently according to the underlying context with which it is measured. Under a change of context, the possible…
4 Citations
On the properties of spectral effect algebras
- MathematicsQuantum
- 2019
The aim of this paper is to show that there can be either only one or uncountably many contexts in any spectral effect algebra, answering a question posed in [S. Gudder, Convex and Sequential Effect…
Contexts in Quantum Measurement Theory
- Computer ScienceFoundations of Physics
- 2019
This work considers properties of channels and contexts, and shows that the set of sharp channels can be given a natural partial order in which contexts are the smallest elements.
Contexts in Quantum Measurement Theory
- Computer ScienceFoundations of Physics
- 2019
This work considers properties of channels and contexts, and shows that the set of sharp channels can be given a natural partial order in which contexts are the smallest elements.
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