TY - JOUR T1 - When the asymptotic limit offers no advantage in the local-operations-and-classical-communication paradigm JF - Phys. Rev. A Y1 - 2014 A1 - Honghao Fu A1 - Debbie Leung A1 - Laura Mancinska AB -

We consider bipartite LOCC, the class of operations implementable by local quantum operations and classical communication between two parties. Surprisingly, there are operations that can be approximated to arbitrary precision but are impossible to implement exactly if only a finite number of messages are exchanged. This significantly complicates the analysis of what can or cannot be approximated with LOCC. Toward alleviating this problem, we exhibit two scenarios in which allowing vanishing error does not help. The first scenario is implementation of projective measurements with product measurement operators. The second scenario is the discrimination of unextendable product bases on two three-dimensional systems.

VL - 89 CP - 052310 U5 - https://doi.org/10.1103/PhysRevA.89.052310 ER -