Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array

Abstract

The Kitaev chain can be engineered within a quantum dot-superconductor array, hosting Majorana zero modes at fine-tuned sweet spots. In this work, we propose and simulate the occurrence of Rabi and Ramsey oscillations to feasibly construct a minimal Majorana qubit in the quantum dot setup. Our real-time results incorporate realistic effects, e.g., charge noise and leakage, reflecting the latest experimental progress. We demonstrate that Majorana qubits with larger energy gaps exhibit significantly enhanced performance -- longer dephasing times, higher quality factors, reduced leakage probabilities, and improved visibilities -- compared to those with smaller gaps and with conventional quantum dot-based charge qubits. We introduce a method for reading out Majorana qubits via quantum capacitance measurements. Our work paves the way for future experiments on realizing Majorana qubits in quantum dot-superconductor arrays.

15 Pages, 4 figures

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Cited by in corpus (11)

• Signatures of Majorana protection in a three-site Kitaev chain
• Observation of edge and bulk states in a three-site Kitaev chain
• Fate of poor man's Majoranas in the long Kitaev chain limit
• Majorana sweet spots in 3-site Kitaev chains
• Majorana modes in quantum dots coupled via a floating superconducting island
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
• Characterizing local Majorana properties using Andreev states
• Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain