Robust single-qubit gates by composite pulses in three-level systems

Composite pulses are an efficient tool for robust quantum control. In this work, we derive the form of the composite pulse sequence to implement robust single-qubit gates in a three-level system, where two low-energy levels act as a qubit. The composite pulses can efficiently cancel the systematic e...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Zhi-Cheng, Shi, Hai-Ning Wu, Li-Tuo, Shen, Xia, Yan, Yi, X X, Shi-Biao Zheng
Format: Article
Language:English
Subjects:
Accuracy
Data processing
Energy levels
Information transfer
Quantum phenomena
Qubits (quantum computing)
Robust control
Systematic errors
Online Access:Get full text
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Summary:Composite pulses are an efficient tool for robust quantum control. In this work, we derive the form of the composite pulse sequence to implement robust single-qubit gates in a three-level system, where two low-energy levels act as a qubit. The composite pulses can efficiently cancel the systematic errors up to a certain order. We find that the three-pulse sequence cannot completely eliminate the first order of systematic errors, but still availably makes the fidelity resistant to variations in a specific direction. When employing more pulses in the sequence (\(N>3\)), the fidelity can be insensitive to the variations in all directions and the robustness region becomes much wider. Finally we demonstrate the applications of composite pulses in quantum information processing, e.g., robust quantum information transfer between two qubits.
ISSN:2331-8422
DOI:10.48550/arxiv.2012.02330