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Analysis

This paper establishes that the 'chordality condition' is both necessary and sufficient for an entropy vector to be realizable by a holographic simple tree graph model. This is significant because it provides a complete characterization for this type of model, which has implications for understanding entanglement and information theory, and potentially the structure of the stabilizer and quantum entropy cones. The constructive proof and the connection to stabilizer states are also noteworthy.
Reference

The paper proves that the 'chordality condition' is also sufficient.