test node creation
$|\Gamma_2> = \gamma_ 1 (e^{ i\delta_1}|+ 6> - e^{- i\delta_1} |- 6>) + \gamma_2 (e^{ i\delta_2}| +2> - e^{i\delta_2}|-2>)$
Now you are in the subtree of Another Child private tree.
$|\Gamma_2> = \gamma_ 1 (e^{ i\delta_1}|+ 6> - e^{- i\delta_1} |- 6>) + \gamma_2 (e^{ i\delta_2}| +2> - e^{i\delta_2}|-2>)$