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

Lewis, Dylan; Banchi, Leonardo; Hong Teoh, Yi; Islam, Rajibul; Bose, Sougato

doi:10.1088/2058-9565/acd953

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

Journal Article · Mon Jun 12 00:00:00 EDT 2023 · Quantum Science and Technology

DOI:https://doi.org/10.1088/2058-9565/acd953· OSTI ID:1984726

; ; ; Islam, Rajibul; Bose, Sougato

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 $O (\sqrt{N})$ time, for N ions. Finally, we introduce a $O (\sqrt{N})$ quantum state transfer protocol, with a qubit encoding that maintains a high fidelity.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1984726

Alternate ID(s):: OSTI ID: 1924329
OSTI ID: 1975445

Journal Information:: Quantum Science and Technology, Journal Name: Quantum Science and Technology Journal Issue: 3 Vol. 8; ISSN 2058-9565

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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

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