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

Haining Pan, Sankar Das Sarma, Chun-Xiao Liu

DOI 10.1103/PhysRevB.111.075416 · Physical Review B

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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.

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