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This theoretical study analyzes the dissipative dynamics of Majorana tetron qubits, specifically addressing how quasiparticle poisoning from external leads impacts decoherence and parity leakage rates in topological superconductors. By deriving analytical expressions for steady-state behavior across various charging energies, the work provides critical insights needed to interpret time-domain data from emerging Majorana qubit prototypes.
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Dynamics of Majorana tetron qubits under quasiparticle poisoning

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arXiv:2608.18042v1 Announce Type: cross Abstract: We study the dissipative dynamics of a Majorana tetron qubit in the presence of extrinsic quasiparticle poisoning due to the coupling to external leads. From the Bloch-Redfield equation describing a finite-size topological superconductor hosting four Majorana zero modes, we recover analytical expressions for the steady state, the parity leakage rate, and the decoherence rate of a Majorana qubit at arbitrary values of the charging energy. The analysis shows that the exponential suppression of the dephasing rate is gradually removed by the energy splitting of the qubit states. These results can be useful to understand time-domain experimental data in Majorana qubit prototypes.

Abstract:We study the dissipative dynamics of a Majorana tetron qubit in the presence of extrinsic quasiparticle poisoning due to the coupling to external leads. From the Bloch-Redfield equation describing a finite-size topological superconductor hosting four Majorana zero modes, we recover analytical expressions for the steady state, the parity leakage rate, and the decoherence rate of a Majorana qubit at arbitrary values of the charging energy. The analysis shows that the exponential suppression of the dephasing rate is gradually removed by the energy splitting of the qubit states. These results can be useful to understand time-domain experimental data in Majorana qubit prototypes.

Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)

arXiv:2608.18042 [cond-mat.mes-hall]

(or arXiv:2608.18042v1 [cond-mat.mes-hall] for this version)

https://doi.org/10.48550/arXiv.2608.18042 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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