Contextuality Profiles: A New Framework for Random Variables
Researchers introduce the concept of a contextuality profile for systems of random variables, replacing a single degree of contextuality with a curve that maps contextuality to the level of analysis. A system at level n considers only joint distributions involving up to n variables. This level-wise analysis works with any contextuality measure. A method of concatenated systems enables systematic exploration. The approach is demonstrated on three major contextuality measures from the literature.
Key facts
- Contextuality profile is a new notion for systems of random variables.
- It characterizes contextuality by a curve relating degree to level.
- Level n considers joint distributions with no more than n variables.
- Level-wise analysis works with any well-constructed contextuality measure.
- Concatenated systems method is used to explore profiles systematically.
- Applied to three major measures of contextuality from the literature.
Entities
—