A Complete Resource Theory of Quantum Incompatibility as Quantum Programmability

Understand

Measurement incompatibility describes two or more quantum measurements whose expected joint outcome on a given system cannot be defined.

• This purely non-classical phenomenon provides a necessary ingredient in many quantum information tasks such violating a Bell Inequality or nonlocally steering part of an entangled state.
• In this paper, we characterize incompatibility in terms of programmable measurement devices and the general notion of quantum programmability.
• This refers to the temporal freedom a user has in issuing programs to a quantum device.