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

• URL: http://arxiv.org/abs/2603.12984v1
• Date: Fri, 13 Mar 2026 13:35:39 GMT
• Title: Fast Arbitrary Qutrit Gates for NV Centers in the Low-Field Regime
• Abstract summary: 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.<n>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 $hat_5$ and $hat_8$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\hatλ_5$ and $\hatλ_8$. We illustrate this decomposition with a use case: performing quantum state tomography of the complete three-level density matrix.

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