Five orthogonal product states are classified into six bipartite and eight tripartite categories via vectors of orthogonal relations, with LOCC distinguishability proven for five of the six bipartite cases and all tripartite cases.
3○ If Alice’s measurement outcome corresponds to the operator I − |α ⟩⟨α | − |α ⊥ ⟩⟨α ⊥ |, the measured state must be state 1, 2 or 3
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Local distinguishability of five orthogonal product states on bipartite and tripartite quantum systems
Five orthogonal product states are classified into six bipartite and eight tripartite categories via vectors of orthogonal relations, with LOCC distinguishability proven for five of the six bipartite cases and all tripartite cases.