Out of 78 distinct cases of six bipartite orthogonal product states, 73 are perfectly distinguishable by LOCC while five require detailed analysis.
For each of cases (5) and (8), state 6 is orthogonal to each of states {1, 2, 3, 4} on only the first subsystem and is orthogonal to state 5 on only the second subsystem
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Local distinguishability of six bipartite orthogonal product states
Out of 78 distinct cases of six bipartite orthogonal product states, 73 are perfectly distinguishable by LOCC while five require detailed analysis.