Aspects of quantum states asymmetry for the magnetic dipolar interaction dynamics

We investigate the asymmetry properties of quantum states in relation to Hamiltonian responsible for magnetic dipolar interaction (MDI) dynamics, and we evaluate its relationship entanglement production. consider some classes pure mixed two qubits evolved under MDI and, using measure defined via Wigner-Yanase skew information, describe dependence on parameters initial conditions system. In addition, define calculate dynamics local states, characterizing their temporal dependence. Finally, because has a null eigenvalue, group generator-based does not adequately quantify state susceptibility with respect action subspace generated by eigenvectors associated this eigenvalue. For reason, also study element-based unitary operator Hamiltonian.