A framework for bounding nonlocality of state discrimination

Understand

We consider the class of protocols that can be implemented by local quantum operations and classical communication (LOCC) between two parties.

• In particular, we focus on the task of discriminating a known set of quantum states by LOCC.
• Building on the work in the paper "Quantum nonlocality without entanglement" [BDF+99], we provide a framework for bounding the amount of nonlocality in a given set of bipartite quantum states in terms of a lower bound on the probability of error in any LOCC discrimination protocol.
• We apply our framework to an orthonormal product basis known as the domino states and obtain an alternative and simplified proof that quantifies its nonlocality.