Fast Arbitrary Qutrit Gates for NV Centers in the Low-Field Regime
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917338804125696 |
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| author | López-García, Alberto Morillas-Rozas, Marcel Mayorgas, Alberto Cerrillo, Javier |
| author_facet | López-García, Alberto Morillas-Rozas, Marcel Mayorgas, Alberto Cerrillo, Javier |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12984 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fast Arbitrary Qutrit Gates for NV Centers in the Low-Field Regime López-García, Alberto Morillas-Rozas, Marcel Mayorgas, Alberto Cerrillo, Javier Quantum Physics 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. |
| title | Fast Arbitrary Qutrit Gates for NV Centers in the Low-Field Regime |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.12984 |