AME(4,6) State: 2-qudit officer superpositions maintain global quantum orthogonality via phase interference.
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Cell (0, 0) Phase Modulator
0°
AME(4,6) Tensor Diagnostics d=6
Euler conjectured in 1779 that no 6×6 Graeco-Latin square exists (proven by Tarry, 1901). In 2022, Suhail et al. showed an Absolutely Maximally Entangled 4-qudit state creates a Quantum Latin Square. Recent findings prove product (separable) states are strictly impossible.
Bipartition Entropy S(A|BCD):
ln(6) ≈ 1.792
Bipartition Entropy S(AB|CD):
2·ln(6) ≈ 3.584
Schmidt Rank:
36 (Full Rank)
Subspace Overlap / Conflicts:
0 conflicts
Officer Regiments & Ranks
🔴 Reg 1
🟠 Reg 2
🟡 Reg 3
🟢 Reg 4
🔵 Reg 5
🟣 Reg 6
👑 General
⭐ Colonel
🎖️ Major
⚔️ Captain
🛡️ Lieut.
⚜️ Ensign
Quantum Interference Note
In quantum mechanics, officers are represented by 2-qudit basis states |r, k⟩. The 20 golden ratio phase factors ω = exp(iπ/10) create complete destructive interference among non-orthogonal components along all rows and columns.