There exist sets of globally distinguishable tripartite product unitaries that cannot be locally marked with LOCC, providing a stronger manifestation of nonlocality without entanglement.
Unbounded quantum advantage in communica- tion complexity measured by distinguishability,
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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.