n ân ] w = 1 2 (q 2 n + p2 n -1), which is identical to Eq. 54 when using γ = 1. Both methods are more accurate than Ehrenfest, 34 but less accurate than Spin-LSC. Using an identity trick which forces the identity operator's Wigner transform to be 1, the accuracy of the linearized MMST methods can be significantly improved. Note that with the spin mapping formalism, the identity is naturally forced to be one through the basic property of the S-W transform (Eq. 30b).