Fast ground-state-to-ground-state separation of small ion crystals

Guglielmo, Tyler H.; Leibfried, Dietrich; Libby, Stephen B.; Slichter, Daniel H.

doi:10.1103/physreva.110.042610

Fast ground-state-to-ground-state separation of small ion crystals

Journal Article · Thu Oct 10 00:00:00 EDT 2024 · Physical Review A

DOI:https://doi.org/10.1103/physreva.110.042610· OSTI ID:2461665

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Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
National Inst. of Standards and Technology (NIST), Boulder, CO (United States)
National Institute of Standards and Technology, Boulder

Rapid separation of linear crystals of trapped ions into different subsets is critical for realizing trapped ion quantum computing architectures where ions are rearranged in trap arrays to achieve all-to-all connectivity between qubits. Here we introduce a general theoretical framework that can be used to describe the separation of same-species and mixed-species crystals into smaller subsets. The framework relies on an efficient description of the evolution of Gaussian motional states under quadratic Hamiltonians that only requires a special solution of the classical equations of motion of the ions to describe their quantum evolution under the influence of a time-dependent applied potential and the ions' mutual Coulomb repulsion. We provide time-dependent applied potentials suitable for separation of a mixed-species three-ion crystal on timescales similar to that of free expansion driven by Coulomb repulsion, with all modes along the crystal axis starting and ending close to their ground states. Three separately confined mixed-species ions can be combined into a crystal held in a single well without energy gain by time-reversal of this separation process.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 2461665

Alternate ID(s):: OSTI ID: 2474506

Report Number(s):: LLNL--JRNL-859047; 1089795

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 110; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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