For a class of graph states with commuting controlled-rotation gates, the Fubini-Study entanglement distance depends only on the vertex degree sequence, and this paper works out explicit formulas for four example graph families.
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Entanglement in Quantum Systems Based on Directed Graphs
For a class of graph states with commuting controlled-rotation gates, the Fubini-Study entanglement distance depends only on the vertex degree sequence, and this paper works out explicit formulas for four example graph families.