In their paper the authors discuss the effect of finite temperature excitations on the read out of topological qubits based on vortex states in p-wave superconductors. This work is particularly timely in light of recent experimental progress consistent with observing Majorana modes in superconducting vortices (Ref 22).
Earlier work (Ref 35) found that, in principle, excited vortex states do not lead to a loss of quantum information. The authors provide an important advance by quantifying the effect of finte-temperature excitations on the read-out visibility of the qubit. To this end, the authors focus on the decay of the free energy difference between the even and odd parity (qubit states). In principle, the free energy difference is measurable via the attraction force between two vortices. A few more details about what forces are experimentally feasible to measure and a comparison to the expected parity effect would improve the paper.
Up to minor revisions I would recommend to accept the paper for publication.