Constructing SU(2) x U(1) orbit space for qutrit mixed states

Vladimir Gerdt, Arsen Khvedelidze, Yuri Palii

The orbit space $\mathfrak{P}({\mathbb{R}}^8)/\mathrm{G}$, of the group $\mathrm{G}:=\mathrm{SU}(2)\times \mathrm{U}(1)\subset \mathrm{U}(3)$ acting adjointly on the state space $\mathfrak{P}(…