Fall 2016

Towards a Resource Theory of Contextuality

Thursday, Dec. 8, 2016 10:10 am10:30 am PST

Add to Calendar


Calvin Lab Auditorium

Contextuality is one of the fundamental features of quantum mechanics that set it apart from classical physical theories, and recent work establishes its rôle as a resource providing a quantum advantage in certain information-processing and computational tasks. We discuss the contextual fraction as a quantitative measure of contextuality, defined for any empirical model (i.e. table indicating the probability of outcomes of measurements in a given experimental scenario). The contextual fraction bears a precise relationship to maximum violations of generalised Bell inequalities, and it is shown to be monotone with respect to a range of operations which can be thought as forming the “free” operations in a resource theory of contextuality. It is also closely related to quantifiable advantages in certain tasks, such as cooperative games and a certain form of measurement-based quantum computation.