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Ion trap long-range XY model for quantum state transfer and optimal spatial search

Lewis, D; Banchi, L; Hong Teoh, Y; Islam, R; Bose, S; (2023) Ion trap long-range XY model for quantum state transfer and optimal spatial search. Quantum Science and Technology , 8 (3) , Article 035025. 10.1088/2058-9565/acd953. Green open access

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Abstract

Linear ion trap chains are a promising platform for quantum computation and simulation. The XY model with long-range interactions can be implemented with a single side-band Mølmer–Sørensen scheme, giving interactions that decay as 1/r α, where α parameterises the interaction range. Lower α leads to longer range interactions, allowing faster long-range gate operations for quantum computing. However, decreasing α causes an increased generation of coherent phonons and appears to dephase the effective XY interaction model. We characterise and show how to correct for this effect completely, allowing lower α interactions to be coherently implemented. Ion trap chains are thus shown to be a viable platform for spatial quantum search in optimal O( √ N) time, for N ions. Finally, we introduce a O( √ N) quantum state transfer protocol, with a qubit encoding that maintains a high fidelity.

Type: Article
Title: Ion trap long-range XY model for quantum state transfer and optimal spatial search
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/2058-9565/acd953
Publisher version: https://doi.org/10.1088/2058-9565/acd953
Language: English
Additional information: Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license (https://creativecommons.org/licenses/by/4.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Keywords: trapped-ion quantum computing, optimal spatial search, quantum state transfer, XY model
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10172578
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