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Nonadiabatic holonomic quantum computation has attracted increasing interest because of its robustness. Here, based on the shortcuts to adiabaticity, a scheme to construct a three‐qubit nonadiabatic holonomic gate in a cavity quantum electrodynamics system is proposed. In the scheme, the three‐qubit holonomic gate is implemented in a single step. In addition, by numerical simulations, it is shown that the constructed holonomic quantum gate holds characteristics such as high fidelity, decoherence‐resistance, and error‐immunity.

Shortcut Scheme for One‐Step Implementation of a Three‐Qubit Nonadiabatic Holonomic Gate