Double-dot interferometer for quantum measurement of Majorana qubits and stabilizers
Kai Zhou(周凯)1, Cheng Zhang(张程)1, Lupei Qin(秦陆培)2,†, and Xin-Qi Li(李新奇)2,1,‡
1 Department of Physics, Beijing Normal University, Beijing 100875, China; 2 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300072, China
Abstract Motivated by the need of quantum measurement of Majorana qubits and surface-code stabilizers, we analyze the performance of a double-dot interferometer under the influence of environment noise. The double-dot setup design allows accounting for the full multiple tunneling process between the dots through the Majorana island, within a master equation approach. In the co-tunneling regime, which results in a Majorana-mediated effective coupling between the dots, the master equation approach allows us to obtain analytic solutions for the measurement currents. The measurement quality, characterized by figures of merit such as the visibility of measurement signals, is carried out in regard to the unusual decoherence effect rather than `which-path' dephasing. The results obtained in this work are expected to be useful for future experiments of Majorana qubit and stabilizer measurements.
Received: 24 September 2020
Revised: 01 January 1900
Accepted manuscript online: 28 October 2020
PACS:
03.65.Ta
(Foundations of quantum mechanics; measurement theory)
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0303304) and the National Natural Science Foundation of China (Grant Nos. 11675016, 11974011, and 61905174).
Kai Zhou(周凯), Cheng Zhang(张程), Lupei Qin(秦陆培), and Xin-Qi Li(李新奇) Double-dot interferometer for quantum measurement of Majorana qubits and stabilizers 2021 Chin. Phys. B 30 010301
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