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Explicit circulant construction of an AME⁡(11,4)\operatorname{AME}(11,4) state

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Can AME⁡(11,4)\operatorname{AME}(11,4) be realized by an explicit circulant graph-state construction?

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No public discussion or published progress appears to address this specific construction.

No public discussion or published progress was found for the explicit circulant construction of an AME state on eleven parties of local dimension four.

Current status (as of June 2025): The problem appears open, with no recorded public activity addressing this specific construction.

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