Geomagic Square Representation of a Real AME$(4, 6)$ State

Abstract:Seeking a pictorial representation of four-party absolutely maximally entangled (AME) states of local size six, we independently construct a real AME$(4,6)$ state from a table of signed Pauli matrices. Its two-unitary matrix has $60$ nonzero entries, equal to $1$ or $\pm 1/\sqrt{2}$. A locally equivalent representative yields a genuine geomagic square, where every row, column and main diagonal tiles a hexagon and all $36$ pieces are pairwise non-congruent. Colors, shapes and hatching retain the full tensor, allowing its reconstruction from the picture.

6 pages, 2 figures, 1 table. Scripts and data: this https URL

arXiv:2610.16882 [quant-ph]

(or arXiv:2610.16882v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.16882 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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