Abstract
We study the compatibility of measurements on finite-dimensional compact convex state space in the framework of general probabilistic theory. Our main emphasis is on formulation of necessary and sufficient conditions for two-outcome measurements to be compatible and we use these conditions to show that there exist incompatible measurements whenever the state space is not a simplex. We also formulate the linear programming problem for the compatibility of two-outcome measurements.
- Received 19 August 2016
DOI:https://doi.org/10.1103/PhysRevA.94.042108
©2016 American Physical Society
Physics Subject Headings (PhySH)
General Physics