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.
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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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