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arXiv · 2603.12984

Fast Arbitrary Qutrit Gates for NV Centers in the Low-Field Regime

Alberto López-García·Marcel Morillas-Rozas·Alberto Mayorgas·Javier Cerrillo
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Abstract

The ground state of the negatively charged NV center forms a spin-1 manifold providing a versatile platform for sensing and information processing. Here we present a scheme for implementing fast arbitrary qutrit gates in the low-field regime using monochromatic microwave pulses of constant intensity tuned to the zero-field transition. By concatenating pulses with appropriate phases and durations, the NV-ERC scheme is extended from SU(2) operations in the double-quantum subspace to the full three-level structure. We show that arbitrary SU(3) operations can be decomposed into rotations in the double-quantum subspace together with effective implementations of the generators related to $\hat{\lambda}_5$ and $\hat{\lambda}_8$. We illustrate this decomposition with a use case: performing quantum state tomography of the complete three-level density matrix.

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Alberto López-García, Marcel Morillas-Rozas, Alberto Mayorgas, Javier Cerrillo. 2026-03-13. Fast Arbitrary Qutrit Gates for NV Centers in the Low-Field Regime. https://arxiv.org/abs/2603.12984

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