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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.09349 |
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| _version_ | 1866917771173953536 |
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| author | Lotshaw, Phillip C. Sawyer, Brian C. Herold, Creston D. Buchs, Gilles |
| author_facet | Lotshaw, Phillip C. Sawyer, Brian C. Herold, Creston D. Buchs, Gilles |
| contents | We analytically solve a model for light scattering in Ising dynamics of metastable atomic qubits, generalizing the approach of Foss-Feig {\it et al.}~[Phys.~Rev.~A {\bf 87}, 042101 (2013)] to include leakage outside the qubit manifold. We analyze the influence of these fundamental errors in simulations of proposed experiments with metastable levels of $^{40}$Ca$^+$ ions. We find that ``effective magnetic fields" generated by leaked qubits have significant impacts on spin-spin correlation functions for Greenberger-Horne-Zeilinger state preparation or for quantum simulations with strong coupling, while spin squeezing uses a much weaker coupling and is largely insensitive to the simulated leakage errors, even with a few hundred ions. Our theory and results are expected to be useful in modeling a variety of metastable qubit experiments in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09349 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exactly-solved model of light-scattering errors in quantum simulations with metastable trapped-ion qubits Lotshaw, Phillip C. Sawyer, Brian C. Herold, Creston D. Buchs, Gilles Quantum Physics We analytically solve a model for light scattering in Ising dynamics of metastable atomic qubits, generalizing the approach of Foss-Feig {\it et al.}~[Phys.~Rev.~A {\bf 87}, 042101 (2013)] to include leakage outside the qubit manifold. We analyze the influence of these fundamental errors in simulations of proposed experiments with metastable levels of $^{40}$Ca$^+$ ions. We find that ``effective magnetic fields" generated by leaked qubits have significant impacts on spin-spin correlation functions for Greenberger-Horne-Zeilinger state preparation or for quantum simulations with strong coupling, while spin squeezing uses a much weaker coupling and is largely insensitive to the simulated leakage errors, even with a few hundred ions. Our theory and results are expected to be useful in modeling a variety of metastable qubit experiments in the future. |
| title | Exactly-solved model of light-scattering errors in quantum simulations with metastable trapped-ion qubits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.09349 |