Error rates in interacting Kitaev chains at finite temperature

As proposed by Alexey Kiteav, a topological one-dimensional superconducting wire hosts Majorana zero modes, which could be used to store and process quantum information in a topologically protected manner. At finite temperatures (or quasi-particle densities), Kitaev’s model remains topologically protected because it is integrable. However, in the presence of interactions and finite temperature, topological protection is lifted. We investigate how error rates depend on interactions and temperature using TEBD and perturbation theory. These results are significant to experimental efforts to build a Majorana zero mode qubit.