(4). Generalized Discrete Truncated Wigner Approximation (GDTWA) is also based upon the SU (N ) mapping formalism, and uses the effective value of r s = √ N + 1 or γ = 2 N ( √ N + 1 -1) (s = W), although it is only possible to rigorously connect 51 to Spin-LSC when N = 2. The EOMs of GDTWA are proposed to be Eq. 98, which is the classical limit of the Heisenberg EOMs of Ŝ, R and P . Thus, the EOMs are equivalent to the current linearized approach and Spin-LSC (Eq. 117 and Eq. 119). The initial conditions for the generalized coherent state variables Ω i are chosen 51 to be eigenvalues of Ŝi (with the expressions in Eq. 2-4), which is in principle different than both the focused and the sampled procedure of the current linearized method or Spin-LSC. However, the detailed expressions of estimators in GDTWA require the quasi-phase point operator in Wootters's discrete phase space representation, 118,119 and future work is needed to establish a formal connection between the current work/Spin-LSC and GDTWA.