QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1\mathrm{/}2}$, $2s_{1\mathrm{/}2}$, and $2p_{1\mathrm{/}2}$ states in highly charged hydrogen-like ions. The self-energy correction is evaluated using the rigorous QED approach. The vacuum polarization correction is evaluated within the electric-loop approximation. Calculations are performed for the wide range of nuclear charge number: $Z=14-92$.