A magnetic-field insensitive gate set for trapped-ion nuclear spin qubits
Abstract
We outline a complete set of operations for manipulating nuclear spin qubits of trapped-ions stored in high magnetic fields such as required for Penning trapping, where the nuclear and electron spins are largely decoupled due to the dominance of the external field Hamiltonian. The reduced nuclear magnetic moment results in insensitivity to external magnetic fields compared to the use of an electron spin, but also makes the nuclear spin hard to manipulate on fast timescales. To maintain speed, we propose a two-qubit phase gate technique which utilizes the electron spin, but for which the qubit remains protected from magnetic fields through retaining the nuclear encoding. This method works for magnetic-field insensitive qubits at lower fields as well as for both microwave and laser field gradients.
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BibTeX
@misc{home2026magneticfield,
title = {{A magnetic-field insensitive gate set for trapped-ion nuclear spin qubits}},
author = {Jonathan Paul Home and Jeremy Flannery and Matteo Mazzanti and Jan Apolin and Shreyans Jain},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37318},
eprint = {2609.37318},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37318},
}
RIS
TY - UNPB
TI - A magnetic-field insensitive gate set for trapped-ion nuclear spin qubits
AU - Jonathan Paul Home
AU - Jeremy Flannery
AU - Matteo Mazzanti
AU - Jan Apolin
AU - Shreyans Jain
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37318
UR - https://arxiv.org/abs/2609.37318
AB - We outline a complete set of operations for manipulating nuclear spin qubits of trapped-ions stored in high magnetic fields such as required for Penning trapping, where the nuclear and electron spins are largely decoupled due to the dominance of the external field Hamiltonian. The reduced nuclear magnetic moment results in insensitivity to external magnetic fields compared to the use of an electron spin, but also makes the nuclear spin hard to manipulate on fast timescales. To maintain speed, we propose a two-qubit phase gate technique which utilizes the electron spin, but for which the qubit remains protected from magnetic fields through retaining the nuclear encoding. This method works for magnetic-field insensitive qubits at lower fields as well as for both microwave and laser field gradients.
ER -