Synchronous manipulation of nuclear spins via boron vacancy centers in hexagonal boron nitride

• URL: http://arxiv.org/abs/2411.02828v1
• Date: Tue, 05 Nov 2024 06:00:20 GMT
• Title: Synchronous manipulation of nuclear spins via boron vacancy centers in hexagonal boron nitride
• Authors: Fattah Sakuldee, Mehdi Abdi,
• Abstract summary: We develop a method for entangling operations on nuclear spins surrounding a negatively charged boron vacancy point defect in hexagonal boron nitride (hBN) We show that in the presence of a background magnetic field one can collectively manipulate the state of the nuclei with $hatU_z$ and $hatU_x$ rotations. Our work can serve as the groundstone for exploiting the nuclear spins in hBN in future quantum technological applications.
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• Abstract: We develop a method for entangling operations on nuclear spins surrounding a negatively charged boron vacancy (VB-center) point defect in hexagonal boron nitride (hBN). To this end, we propose to employ the electron spin of a VB-center as a control qubit. We show that in the presence of a background magnetic field and by applying control pulses one can collectively manipulate the state of the nuclei with $\hat{U}_z$ and $\hat{U}_x$ rotations. These rotations can serve for implementing the synchronous three-qubit $X$, $Z$, and the Hadamard gates. Through our numerical analyses considering realistic system parameters and the decoherence effects, we demonstrate that these gates can be executed with high fidelities. Furthermore, as an example for the application of our toolbox, we utilize these collective gates to prepare the highly entangled GHZ states among the three nuclear spins with a fidelity of $0.99$. By including the electron decoherence effects we find that the relative deviations of the gate fidelities from the noisy terms are negligibly small, proving the noise-resilience of our protocols. Our work can serve as the groundstone for exploiting the nuclear spins in hBN in future quantum technological applications.

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