01302nas a2200145 4500008004100000245011100041210006900152260001300221490000700234520073400241100001600975700001800991700002101009856012601030 2014 eng d00aWhen the asymptotic limit offers no advantage in the local-operations-and-classical-communication paradigm0 aWhen the asymptotic limit offers no advantage in the localoperat c5/9/20140 v893 a
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.
1 aFu, Honghao1 aLeung, Debbie1 aMancinska, Laura uhttps://quics.umd.edu/publications/when-asymptotic-limit-offers-no-advantage-local-operations-and-classical-communication