title: Increasing entanglement monotones by separable operations.
abstract: Quantum entanglement is fundamentally related to the operational setting of local quantum operations and classical communication (LOCC). A more general class of operations known as separable operations (SEP) is often employed to approximate LOCC, but the exact difference between LOCC and SEP is unknown. In this letter, we compare the two classes in performing particular tripartite to bipartite entanglement conversions and report a gap as large as 12.5% between SEP and LOCC, which is the first known appreciable gap between the classes. Our results rely on constructing a computable entanglement monotone with a clear operational meaning that, unlike all other such monotones previously studied, is not monotonic under SEP. Finally, we prove the curious fact that convergent sequences of LOCC protocols need not be LOCC feasible in the limit.
authors.affiliation: Center for Quantum Information and Quantum Control (CQIQC), Department of Physics, University of Toronto, Toronto, Ontario, M5S 3G4, Canada. e.chitambar@utoronto.ca
authors.forename: Eric
authors.initials: E
authors.lastname: Chitambar
authors.forename: Wei
authors.initials: W
authors.lastname: Cui
authors.forename: Hoi-Kwong
authors.initials: HK
authors.lastname: Lo