  Superconducting qubits on a circuit exhibit an always-on state-dependent
phase error. This error is due to sub-MHz parasitic interaction that repels
computational levels from non-computational ones. We study a general theory to
evaluate the `static' repulsion between seemingly idle qubits as well as the
`dynamical' repulsion between entangled qubits under microwave driving gate. By
combining qubits of either the same or opposite anharmonicity signs we find the
characteristics of static and dynamical ZZ freedoms. The latter universally
eliminate the parasitic repulsion, leading us to mitigate high fidelity gate
operation. Our theory introduces new opportunities for making perfect entangled
and unentangled states which is extremely useful for quantum technology.
