Utility of virtual qubits in trapped-ion quantum computers

Fuente: arXiv
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Autores principales: Shivam, Saumya, Pokorny, Fabian, Vazquez-Brennan, Andres, Sotirova, Ana S., Leppard, Jamie D., Decoppet, Sophie M., Ballance, C. J., Sondhi, S. L.
Formato: Preprint
Publicado: 2024
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author Shivam, Saumya
Pokorny, Fabian
Vazquez-Brennan, Andres
Sotirova, Ana S.
Leppard, Jamie D.
Decoppet, Sophie M.
Ballance, C. J.
Sondhi, S. L.
author_facet Shivam, Saumya
Pokorny, Fabian
Vazquez-Brennan, Andres
Sotirova, Ana S.
Leppard, Jamie D.
Decoppet, Sophie M.
Ballance, C. J.
Sondhi, S. L.
contents We propose encoding multiple qubits inside ions in existing trapped-ion quantum computers to access more qubits and to simplify circuits implementing standard algorithms. By using such `virtual' qubits, some inter-ion gates can be replaced by intra-ion gates, reducing the use of vibrational modes of the ion chain, leading to less noise. We discuss specific examples such as the Bernstein-Vazirani algorithm and random circuit sampling, using a small number of virtual qubits. Additionally, virtual qubits enable using larger number of data qubits for an error correcting code, and we consider the repetition code as an example. We also lay out practical considerations to be made when choosing states to encode virtual qubits in $^{137}\mathrm{Ba}^+$ ions, and for preparing states and performing measurements.
format Preprint
id arxiv_https___arxiv_org_abs_2406_19332
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Utility of virtual qubits in trapped-ion quantum computers
Shivam, Saumya
Pokorny, Fabian
Vazquez-Brennan, Andres
Sotirova, Ana S.
Leppard, Jamie D.
Decoppet, Sophie M.
Ballance, C. J.
Sondhi, S. L.
Quantum Physics
Atomic Physics
We propose encoding multiple qubits inside ions in existing trapped-ion quantum computers to access more qubits and to simplify circuits implementing standard algorithms. By using such `virtual' qubits, some inter-ion gates can be replaced by intra-ion gates, reducing the use of vibrational modes of the ion chain, leading to less noise. We discuss specific examples such as the Bernstein-Vazirani algorithm and random circuit sampling, using a small number of virtual qubits. Additionally, virtual qubits enable using larger number of data qubits for an error correcting code, and we consider the repetition code as an example. We also lay out practical considerations to be made when choosing states to encode virtual qubits in $^{137}\mathrm{Ba}^+$ ions, and for preparing states and performing measurements.
title Utility of virtual qubits in trapped-ion quantum computers
topic Quantum Physics
Atomic Physics
url https://arxiv.org/abs/2406.19332