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Influence of Fluctuations in the Occupation of Higher Energy Levels on the Read-Out Process of Majorana Qubits

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Abstract

Motivated by recent proposals of a Majorana box qubit (MBQ) and the read-out of its quantum state, we reconsider the MBQ-quantum dot system and investigate the influence of noise on the transport properties and the measurement process. Specifically, in the frame of a quantum master equation approach, we show that the energy level fluctuations of higher energy state in the MBQ lead to dephasing and reduce the effective tunneling amplitude between the MBQ and the dots, thus influencing the transport properties and characteristic dynamics. Remarkably in a certain range of parameters, the visibility of the interference current is even enhanced by the fluctuations. The results of our analysis are expected to be useful for future work on Majorana qubits.

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Acknowledgements

Xinqi Li and Gerd Schön are gratefully acknowledged for helpful discussion. This work was supported by the National Natural Science Foundation of China (Grant No. 61905174).

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  1. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin, 300072, China

    Lupei Qin

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  1. Lupei Qin
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Qin, L. Influence of Fluctuations in the Occupation of Higher Energy Levels on the Read-Out Process of Majorana Qubits. Int J Theor Phys 61, 11 (2022). https://doi.org/10.1007/s10773-022-05007-y

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