Robust Quantum Gates for Stochastic Time-Varying Noise
Chia-Hsien Huang1*, Hsi-Sheng Goan1
1Department of Physics, National Taiwan University, Taipei, Taiwan
* presenting author:Chia-Hsien Huang, email:d01222002@ntu.edu.tw
How to effectively construct robust quantum gates for time-varying noise is a very important but still outstanding problem. Here we develop a systematic method to find pulses for quantum gate operations robust against both low- and high-frequency (comparable to the qubit transition frequency) stochastic time-varying noise. Our approach, taking into account the noise properties of quantum computing systems, can output single smooth pulses in the presence of multi-sources of noise. Furthermore, our method is quite general and not sensitive to system models and noise models, and will make essential steps toward constructing high-fidelity and robust quantum gates for fault-tolerant quantum computation. Finally, we discuss and compare the gate operation performance by our method with that by the filter-transfer-function method. As a practical example, we'll use our method to find control pulses for high-fidelity two-qubit gates in quantum-dot spin qubits in silicon in the presence of time-varying noises.


Keywords: quantum computation, robust control, quantum gates, decoherence suppression