Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature

Geometric phases and holonomies are a promising resource for the realization of high-fidelity quantum operations in noisy devices, due to their intrinsic fault-tolerance against parametric noise. However, for a long time their practical use in quantum computing was limited to proof of principle demonstrations. This was partly due to the need for adiabatic time evolution or the requirement of complex, high-dimensional state spaces and a large number of driving field parameters to achieve universal quantum gates employing holonomies. In 2016 Liang et al. proposed universal, superadiabatic, geometric quantum gates exploiting transitionless quantum driving, thereby offering fast and universal quantum gate performance on a simple two-level system. Here, we report on the experimental implementation of a set of non-commuting single-qubit superadiabatic, geometric quantum gates on the electron spin of the nitrogen-vacancy center in diamond under ambient conditions. This provides a promising and powerful tool for large-scale quantum computing under realistic, noisy experimental conditions. Quantum logic: Suppressing noise with geometric phases A demonstration of quantum logic gates based on geometric phases could enable quantum computing in noisy experimental conditions. Developing large-scale quantum computation requires the performance of quantum logic gates to be significantly improved. Quantum logic gates are very sensitive to noise but gates that exploit geometric phases are predicted to be resilient against a common source of noise. However, experimentally realising such strategies is not trivial. Using the electron spin of nitrogen-vacancy centers in diamond, Felix Kleißler and colleagues from the Max Planck Institute for Biophysical Chemistry in Göttingen, Germany demonstrate geometric phase-based quantum logic gates under ambient conditions. This implementation shows that such geometric quantum gates in combination with solid-spin qubit systems are a promising platform for realising large-scale quantum computing in noisy environments.