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

Wojciech Bruzda

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arXiv · 2610.16882

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

Wojciech Bruzda

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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.

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BibTeX RIS

Wojciech Bruzda. 2026-10-12. Geomagic Square Representation of a Real AME$(4, 6)$ State. https://arxiv.org/abs/2610.16882

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