Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
Zhen-Tao Liang, Xianxian Yue, Qingxian Lv, Yan-Xiong Du, Wei Huang,, Hui Yan, and Shi-Liang Zhu

TL;DR
This paper proposes a robust and fast method for implementing universal quantum gates using superadiabatic geometric control in nitrogen-vacancy centers, combining advantages of geometric phases and superadiabatic techniques.
Contribution
It introduces a practical scheme for universal quantum gates leveraging superadiabatic geometric phases in NV centers, simplifying control to a single microwave field.
Findings
Gates can be realized with high fidelity in a two-level NV system.
Superadiabatic geometric gates outperform traditional phase gates in speed and robustness.
The scheme is experimentally feasible with current technology.
Abstract
We propose a feasible scheme to implement a universal set of quantum gates based on geometric phases and superadiabatic quantum control. Consolidating the advantages of both strategies, the proposed quantum gates are robust and fast. The diamond nitrogen-vacancy center system is adopted as a typical example to illustrate the scheme. We show that these gates can be realized in a simple two-level configuration by appropriately controlling the amplitude, phase, and frequency of just one microwave field. The gate's robust and fast features are confirmed by comparing the fidelity of the proposed superadiabatic geometric phase (controlled-PHASE) gate with those of two other kinds of phase (controlled-PHASE) gates.
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