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Topological Quantum Computing Superconducting Qubits

Generalized Majorana edge modes in a number-conserving periodically driven p-wave superconductor

arXiv

Authors: Raditya Weda Bomantara

Year

2023

Paper ID

55224

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We study an analytically solvable and experimentally relevant number-conserving periodically driven p-wave superconductor. Such a system is found to support generalized Majorana zero and π modes which, despite being non-Hermitian, are still capable of encoding qubits. Moreover, appropriate winding numbers characterizing the topology of such generalized Majorana modes are defined and explicitly calculated. We further discuss the fate of the obtained generalized Majorana modes in the presence of finite charging energy. Finally, we shed light on the quantum computing prospects of such modes by demonstrating the robustness of their encoded qubits and explicitly braiding a pair of generalized Majorana modes.

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This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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We study an analytically solvable and experimentally relevant number-conserving periodically driven p-wave superconductor.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.01163 [2] arXiv https://arxiv.org/abs/2309.01163 [3] Publisher https://arxiv.org/abs/2309.01163

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