The rank of contextuality

The rank of contextuality

Blog Article

Quantum contextuality is one of the most read more recognized resources in quantum communication and computing scenarios.We provide a new quantifier of this resource, the rank of contextuality (RC).We define RC as the minimum number of non-contextual behaviors that are needed to simulate a contextual behavior.

We show that the logarithm of RC is a natural contextuality measure satisfying several properties considered in the spirit of the resource-theoretic approach.The properties include faithfulness, monotonicity, and additivity under tensor product.We also give examples of how to construct contextual behaviors with an arbitrary value of rosy teacup dogwood RC exhibiting a natural connection between this quantifier and the arboricity of an underlying hypergraph.

We also discuss exemplary areas of research in which the new measure appears as a natural quantifier.