Numerical analysis of the general tetron poisoning model

Develop a numerical analysis of the Majorana tetron quasiparticle-poisoning dynamics in the general case without the simplifying assumptions of identical individual tunneling rates for all leads and zero energy splitting of the odd-parity states.

Background

The paper derives analytical results for the dissipative dynamics of a Majorana tetron under extrinsic quasiparticle poisoning by imposing simplifying assumptions, including identical tunneling rates between the Majorana modes and their respective leads and a vanishing energy splitting within the odd-parity sector. These assumptions allow the authors to obtain tractable expressions for decoherence, leakage, steady states, and rate equations.

The authors identify the corresponding general case—relaxing these assumptions—as likely requiring numerical treatment and explicitly leave it for future work. The unresolved task is therefore to analyze the poisoning dynamics when the tunneling rates are not all identical and the odd-parity states are not degenerate.

References

In our derivations, we have focused on a few scenarios that isolated qualitatively important factors -- such as the finite energy splitting between qubit states and the presence of cross-correlations between leads. In doing so, we have allowed ourselves to make simplifying assumptions -- such as taking individual tunneling rates for all the leads to be identical, or the energy splitting of odd-parity states to be zero -- in order to arrive at simple analytical results that can guide understanding of the general case. The latter is probably amenable only to numerical analysis, which we leave for future work.

— Dynamics of Majorana tetron qubits under quasiparticle poisoning  (2608.18042 - Bhattacharyya et al., 18 Aug 2026) in Section Conclusions