Abstract
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.
Highlights
We reside in an exciting era, in which large-scale circuitbased quantum computers do not exist yet, but their realization appears to become increasingly more feasible
We demonstrated that rotations by γ = π/2 around the x and z-axis can be fulfilled with high fidelity by performing superadiabatic geometric quantum computation
In this work we demonstrated the experimental realization of the recently proposed universal set of single-qubit superadiabatic geometric quantum gate (SAGQG), utilizing the NV center electron spin in diamond at room temperature
Summary
We reside in an exciting era, in which large-scale circuitbased quantum computers do not exist yet, but their realization appears to become increasingly more feasible This era of ‘Noisy Intermediate-Scale Quantum Computers’ (NISQ),[1] offers circuitbased computing platforms with O(10) physical qubits and quantum annealers acting on O(103) physical qubits. Experimental realizations[11,12,13] of this HQG concept achieved high-fidelity quantum gate performance exceeding the threshold required for the implementation of quantum error correction protocols.[14,15] Because a holonomy can only arise in a more than two-dimensional Hilbert space the implementation of HQG requires higher-dimensional quantum systems with at least two well controlled driving fields The use of optimized samples eliminates/supresses the noise environment as source of error and high fidelity quantum computation can be obtained by choosing quantum operations insensitive to control parameter imperfections
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