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 -