Useful subroutines OT with respect to the other points here listed, inculding random number generators, auxiliary data files, etc.

Four subroutines for producing both REAL or CPLX Random Pure States, distributed according to the Haar measure of O(N), respectively U(N). Such a pure states can be produced as vectors |ψ〉, or as rank 1 projectors ρ = |ψ〉〈ψ|.

Two subroutines for producing both REAL or CPLX Random Mixed States ρ, distributed according to the so-called “induced” distribution family P_N,K(ρ).
As a particular case, the “Hilbert-Schmidt” distribution P_HS(ρ) can also be obtained.

The subroutines listed in this Section are designed for performing the operations of Table 1 on operators X, mapping a finite dimensional bipartite Hilbert space

H_tot = H_A ⊗ H_B =  C^N ⊗ C^K                                     (1)

X  :  H_tot →  H_tot .                                            (2)

All this subroutines are design with the aim of performing “total” or “partial” traces of operators X mapping the finite dimensional bipartite Hilbert space of equation (1) into itself, as in equation (2).

Subroutines for producing random matrices out of classical compact Lie groups [O(N), U(N) and USp(2N)], Ginibre's Ensembles [GinOE(N), GinUE(N) and GinSE(N)], Gaussian's Ensembles [GOE(N), GUE(N) and GSE(N)] and Dyson's Circular Ensembles [COE(N), CUE(N) and CSE(N)].