THE_ALGEBRAIC_FORMULATION_OF_Q-NUMBERS
Roger Cooperman, A.E. Petrunina V.V.
Main result: every ℚ-structured circuit has its dynamical Lie algebra inside 𝔰𝔭(2ⁿ⁻¹) or 𝔰𝔬(2ⁿ), and its loss variance is exactly 1/(2ⁿ − (−1)ⁿ), the Haar value up to ±1; the quaternionic restriction alone therefore does not remove the barren plateau.
•Oct 14, 2026•0 citations