Universal Single‐Qubit Nonadiabatic Holonomic Quantum Gates on an Optomechanical System.

The nonadiabatic holonomic quantum computation has attracted much attention in recent years because of its fastness and robustness. Here, the first scheme to realize theoretically universal single‐qubit gates on an optomechanical system working with nonadiabatic geometric phases is proposed. These quantum gates are robust to the control errors and parameter fluctuations. They can be used to achieve efficiently both quantum state transfer and entanglement generation between two optical modes via the intermediate action of a mechanical mode, showing that they are useful in robust quantum information processing. Universal single‐qubit gates are realized based on the nonadiabatic geometric dynamics of a double‐cavity optomechanical system when its cyclic evolution and parallel‐transport conditions are satisfied. These gates are fast and robust, and can also be used to achieve the quantum state transfer and the optical entanglement generation. [ABSTRACT FROM AUTHOR]