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This study provides crucial analytical models for Majorana qubits operating under realistic conditions, specifically addressing the loss of topological protection caused by quasiparticle poisoning. By quantifying decoherence and parity leakage rates in topological superconductors, researchers offer a necessary framework for interpreting experimental data and improving the stability of future fault-tolerant quantum processors.
Fisica Team Quantifies Decay Rates in Majorana Qubits

Initial protection against environmental noise, typically an exponential decrease in signal degradation, vanishes within proposed Majorana qubits as energy splits between quantum states increase. This departure from ideal behaviour arises when accounting for realistic device limitations like quasiparticle poisoning, previously unaddressed by analytical models. Explicit derivations now permit interpretation of time-domain measurements from prototype devices across a wider range of parameters.
Analytical equations now detail how external disturbances impact Majorana qubits for the first time, moving beyond previous approximations. Sauri Bhattacharyya and Bernard van Heck from Dipartimento di Fisica, Sapienza Universit`a di Roma developed equations describing a Majorana qubit’s steady state, parity leakage rate, and decoherence rate within a topological superconductor experiencing quasiparticle poisoning, a process where unwanted particles disrupt coherence. The analysis shows that imperfections in materials…
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