The set of Bargmann invariants from circulant Gram matrices is exactly the n-th power of a regular n-gon, and all such invariants can be realized by qubits.
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On the Bargmann invariants for quantum imaginarity
The set of Bargmann invariants from circulant Gram matrices is exactly the n-th power of a regular n-gon, and all such invariants can be realized by qubits.