Towards quantum error correction with two-body gates for quantum registers based on nitrogen-vacancy centers in diamond

TL;DR

This paper develops an optimized method for executing high-fidelity two-body gates between NV center electron spins and nuclear spins, enabling quantum error correction in diamond-based quantum registers.

Contribution

It introduces a method to optimize gate execution time for adaptive XY sequences, facilitating quantum error correction using nuclear spins in NV center systems.

Findings

Optimized gate execution times improve fidelity and speed.

Nuclear spins serve as a viable code space for error correction.

Enhanced quantum register performance with tailored dynamical decoupling.

Abstract

Color centers in diamond provide a possible hardware for quantum computation, where the most basic quantum information processing unit are nitrogen-vacancy (NV) centers, each in contact with adjacent carbon nuclear spins. With specifically tailored dynamical decoupling sequences, it is possible to execute selective, high-fidelity two-body gates between the electron spin of the NV center and a targeted nuclear spin. In this work, we present a method to determine the optimal execution time that balances the trade-off between fidelity and execution speed for gates generated by adaptive XY sequences. With these optimized gates, we use the nuclear spin environment as a code space for quantum error correction within a color center register.