Precise control of entanglement in multinuclear spin registers coupled to defects

Abstract

Quantum networks play an indispensable role in quantum information tasks such as secure communications, enhanced quantum sensing, and distributed computing. Among the most mature and promising platforms for quantum networking are nitrogen-vacancy centers in diamond and other color centers in solids. One of the challenges in using these systems for networking applications is to controllably manipulate entanglement between the electron and the nuclear spin register despite the always-on nature of the hyperfine interactions, which makes this an inherently many-body quantum system. Here, we develop a general formalism to quantify and control the generation of entanglement in an arbitrarily large nuclear spin register coupled to a color center electronic spin. We provide a reliable measure of nuclear spin selectivity, by exactly incorporating into our treatment the dynamics with unwanted nuclei. We also show how to realize direct multipartite gates through the use of dynamical decoupling sequences, drastically reducing the total gate time compared to protocols based on sequential entanglement with individual nuclear spins. We quantify the performance of such gate operations in the presence of unwanted residual entanglement links, capturing the dynamics of the entire nuclear spin register. Finally, using experimental parameters of a well-characterized 27 nuclear spin register device, we show how to prepare with high fidelity entangled states for quantum error correction.

arXiv comment17+18 pages, 16 figures

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Cited by in corpus (8)

• Performance of quantum registers in diamond in the presence of spin impurities
• A many-body singlet prepared by a central spin qubit
• Generation of genuine all-way entanglement in defect-nuclear spin systems through dynamical decoupling sequences
• Fidelity of photon-mediated entanglement between remote nuclear-spin multi-qubit registers
• High-Fidelity Entangling Gates for Electron and Nuclear Spin Qubits in Diamond
• Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
• Quantifying electron-nuclear spin entanglement dynamics in central-spin systems using one-tangles
• Suppression of coherent errors during entangling operations in NV centers in diamond