Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins

TL;DR

This paper demonstrates the experimental realization of a universal set of geometric quantum gates using solid-state spins in diamond defects, highlighting a scalable and potentially robust platform for quantum computing.

Contribution

It presents the first implementation of a complete set of geometric quantum gates in solid-state spin qubits, advancing scalable quantum computation.

Findings

Successfully implemented universal geometric quantum gates in diamond defect spins

Demonstrated potential for room-temperature, scalable quantum computing

Showed geometric gates can be realized with high fidelity in solid-state systems

Abstract

Experimental realization of a universal set of quantum logic gates is the central requirement for implementation of a quantum computer. An all-geometric approach to quantum computation offered a paradigm for implementation where all the quantum gates are achieved based on the Berry phases and their non-abelian extensions, the holonomies, from geometric transformation of quantum states in the Hilbert space. Apart from its fundamental interest and rich mathematical structure, the geometric approach has some built-in noise-resilient features. On the experimental side, geometric phases and holonomies have been observed using nuclear magnetic resonance with thermal ensembles of liquid molecules, however, such systems are known to be non-scalable for quantum computing. There are proposals to implement geometric quantum computation in scalable experimental platforms such as trapped ions, superconducting qubits, or quantum dots, and a recent experiment has realized geometric single-bit gates with the superconducting system. Here, we report the experimental realization of a universal set of geometric quantum gates with solid-state spins of the diamond defects. The diamond defects provide a scalable experimental platform with the potential for room-temperature quantum computing, which has attracted strong interest in recent years. Based on advance of coherent control in this system, our experiment shows that all-geometric and potentially robust quantum computation can be realized with solid-state spin qubits.