TY - JOUR T1 - A framework for bounding nonlocality of state discrimination JF - Communications in Mathematical Physics Y1 - 2013 A1 - Andrew M. Childs A1 - Debbie Leung A1 - Laura Mancinska A1 - Maris Ozols AB - 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. We generalize this result for similar bases in larger dimensions, as well as the "rotated" domino states, resolving a long-standing open question [BDF+99]. VL - 323 U4 - 1121 - 1153 UR - http://arxiv.org/abs/1206.5822v1 CP - 3 J1 - Commun. Math. Phys. U5 - 10.1007/s00220-013-1784-0 ER -