There exist sets of globally distinguishable tripartite product unitaries that cannot be locally marked with LOCC, providing a stronger manifestation of nonlocality without entanglement.
Communi- cation via one- and two-particle operators on einstein- podolsky-rosen states,
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Local Marking of Locally Implementable Unitary Operations
There exist sets of globally distinguishable tripartite product unitaries that cannot be locally marked with LOCC, providing a stronger manifestation of nonlocality without entanglement.