Density operator
= Density operator
{wiki=Density_matrix}
A finite-dimensional density operator is Hermitian, positive semidefinite, and has trace one. In dimension $N$ it has $N^2-1$ real parameters. Schrödinger evolution is
$$
\rho_S(t)=U(t)\rho_HU(t)^\dagger
$$
when $\rho_H$ denotes the time-independent Heisenberg-picture state.