We have established the connection between two diagonalization methods that have
been put forward recently for solving time-dependent and time-independent three coupled
quantum harmonic oscillators (CQHO). One method invokes SU(3) Lie group structure while the other takes SO(3) Lie group construction into consideration for diagonalization. Necessary and
sufficient conditions for the...
Our study is dedicated to the reduction of quantum logic expressions to their classical counterparts by imposing the semi-classical limit. We demonstrate that any quantum gate from the complete set suffers information loss during the transition $ \hbar \to 0 $. The biggest losses are manifested for propositions consisting of non-commuting operators. The developed technique makes it possible to...