Single qubit gates are the core components for realizing quantum computing, and their high fidelity and robustness are indispensable key characteristics. Designing quantum gates using the global properties of geometric phases is an important approach, as this method can effectively resist certain local perturbations, thereby improving the fault tolerance of gate operations. In some experimental schemes, a compensation pulse is often applied after quantum gate operations to enhance fidelity. Within the framework of non-adiabatic geometric quantum computing and based on the general theory of time-dependent perturbation, this paper examined the impact of system errors on fidelity and derived the corresponding analytical results. Moreover, the paper validated these analytical results through numerical simulations, demonstrating their influence on the robustness of quantum gates. This provides a potential direction for designing more optimal pulses. The results show that the fidelity error of the NOT gate and S gate can be reduced by about 50% with the help of a compensation pulse.
LAI Ying
,
HUANG Jiedong
,
QIAN Yang
,
YAN Ying
,
LU Jie
. Robustness of non-adiabatic geometric single qubit gate with compensation pulse[J]. Journal of Shanghai University, 2025
, 31(4)
: 666
-677
.
DOI: 10.12066/j.issn.1007-2861.2640
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