Yttrium ion as a platform for quantum information processing

Christopher N. Gilbreth, Dmytro Filin, Marianna S. Safronova, Guanming Lao, Eric R. Hudson

quant-ph(primary)physics.atom-ph
#492 of 2593 · Quantum Physics
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1475±31
10501750
61%
Win Rate
27
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17
Losses
44
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Rating
7.5/ 10
Significance
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Abstract

Engineering large-scale quantum computers which simultaneously provide high-fidelity quantum operations, low memory errors, low crosstalk, and reasonable resource usage remains an outstanding challenge across quantum computing platforms. In trapped ions, progress has largely focused on alkaline-earth and ytterbium ions, whose simple electronic structures facilitate control over their internal state. Here we investigate singly-ionized yttrium (89Y+^{89}\mathrm{Y}^+), a two-valence-electron ion whose ground-state manifold hosts a nuclear-spin qubit and which also features a variety of low-lying metastable manifolds, for applications in quantum information processing. Because experimental data are limited, we perform high-resolution laser-induced fluorescence spectroscopy to measure the hyperfine structure of several low-lying levels, and carry out comprehensive electronic structure calculations to determine lifetimes, transition matrix elements, and hyperfine coefficients for manifolds addressable with visible, near-visible, or infrared wavelengths. Using these results, we analyze schemes for qubit storage, initialization, readout, leakage mitigation, and single- and two-qubit gates. These results position 89Y+^{89}\mathrm{Y}^+ as a uniquely capable next-generation trapped-ion qubit, combining field-insensitive nuclear-spin or clock-qubit storage with spectrally isolated transitions for operations.

AI Impact Assessments

(3 models)

Scientific Impact Assessment: "Yttrium ion as a platform for quantum information processing"

1. Core Contribution

This paper presents a comprehensive characterization of 89Y+ as a candidate trapped-ion qubit, combining experimental spectroscopy, ab initio electronic structure calculations, and detailed proposals for quantum operations. The central novelty is the identification and rigorous analysis of a two-valence-electron ion with nuclear spin I=1/2 that provides a qualitatively new type of trapped-ion qubit: a nuclear spin qubit in a J=0 ground state (5s² ¹S₀), combined with a rich landscape of metastable manifolds from 4d5s and 4d² configurations. This is fundamentally distinct from all currently deployed trapped-ion qubits (Ba+, Ca+, Sr+, Yb+), which use single-valence-electron ions. The key innovation is the separation of storage (nuclear spin, extremely field-insensitive) from operations (metastable manifolds, spectrally and magnetically distinct), addressing the crosstalk and memory error challenges that limit scaling of current trapped-ion processors.

2. Methodological Rigor

The paper employs a multi-pronged approach with strong internal consistency checks:

Experimental: High-resolution laser-induced fluorescence spectroscopy of cryogenically cooled 89Y+ produced by laser ablation into a buffer gas cell at 20 K. Hyperfine constants for 5s5p ³P₁, 4d5s ³D₁, and 4d5s ³D₂ are measured, with the ³D₁ and ³D₂ values agreeing well with the only prior measurement (Wännström et al. 1994). The ³P₁ measurement appears to be the first.

Theoretical: CI+all-order calculations provide transition matrix elements, lifetimes, and hyperfine coefficients for 25 levels. Error estimation is performed systematically by comparing CI+all-order with CI-MBPT results and including multiple correction terms (core-Brueckner, structural radiation, two-particle, normalization). The agreement between measured and calculated hyperfine coefficients (e.g., A(³P₁) = -532(7) MHz experimental vs. -557(15) MHz theoretical) provides confidence in the calculations where no experimental data exist.

Quantum operations analysis: Shelving, gate, and measurement schemes are analyzed with realistic error models including spontaneous emission (via a carefully derived two-photon master equation), polarization imperfections, and pointing errors. The master equation formalism (Appendix B) extends prior treatments by including counter-rotating terms and multi-level dephasing effects, representing a methodological contribution in its own right.

One limitation is that all operational proposals remain theoretical — no trapping or manipulation of 89Y+ has been demonstrated. The predicted 4d5s ³D₁ lifetime of ~10¹⁰ s, while exciting, is extraordinarily long and essentially unmeasurable directly; its accuracy relies entirely on the theoretical framework.

3. Potential Impact

Trapped-ion quantum computing: If experimentally validated, 89Y+ could address several critical scaling challenges simultaneously. The nuclear spin qubit's magnetic sensitivity of 0.21 kHz/Gauss (vs. 2.5 kHz/Gauss for ¹⁷¹Yb+ at 4 G) directly translates to reduced memory errors. The spectral isolation between storage and operation manifolds could dramatically reduce crosstalk during measurement — a key bottleneck in large-scale systems. The compatibility with magnetic gradient gates while maintaining field-insensitive storage is particularly valuable, as it solves the tension between needing field sensitivity for gates and field insensitivity for memory.

OMG-style architectures: The paper provides a concrete, well-analyzed platform for the omg protocol, which was previously proposed but lacked an ideal atomic species. 89Y+ appears naturally suited to this approach.

Broader atomic physics: The comprehensive electronic structure calculations (Table VI with ~100+ transitions) represent a valuable data resource for the atomic physics community working on Group III ions. The hyperfine quenching analysis of ³P₀ (branching fraction ~2×10⁻⁹) demonstrates techniques applicable to other divalent systems.

4. Timeliness & Relevance

This work is highly timely. Trapped-ion quantum computing is at an inflection point where scaling beyond ~100 qubits requires addressing crosstalk, memory errors, and resource efficiency simultaneously. The paper directly targets these bottlenecks. The parallel development of nuclear spin qubits in neutral atom platforms (¹⁷¹Yb, ⁸⁷Sr optical tweezer arrays) provides both context and motivation — 89Y+ brings similar nuclear spin advantages into the trapped-ion ecosystem with its inherent advantages of long coherence times and individual addressability. The paper's timing also aligns with growing interest in omg-style protocols and multi-qubit-per-atom schemes.

5. Strengths & Limitations

Key Strengths:

  • Comprehensive scope: combines experiment, theory, and operational design in a self-contained package
  • Quantitative error analysis for all proposed operations with realistic noise models
  • Multiple operational modalities analyzed (nuclear spin qubit, metastable clock qubit, laser-based and magnetic gradient gates)
  • The cycling transition 5s5p ³P₀ ↔ 4d5s ³D₁ with ~2×10⁻⁹ out-of-cycle branching is remarkably clean
  • Complete transition matrix element tables (Appendix A) provide a lasting reference
  • Notable Limitations:

  • No experimental demonstration of trapping or qubit operations — all operational claims are projections
  • Systematic spectroscopy errors (~20 MHz from wavemeter calibration) are only estimated, not rigorously bounded
  • The 168 Gauss bias field required for the ³D₁ clock qubit is relatively large, potentially introducing technical challenges
  • Sympathetic cooling with ⁸⁸Sr+ is mentioned but not analyzed in detail; the practicalities of loading and trapping 89Y+ are not addressed
  • Comparison to Lu+, which has similar two-valence-electron structure and has been experimentally demonstrated as a clock, could be more detailed
  • Summary

    This paper makes a compelling theoretical and partially experimental case for 89Y+ as a next-generation trapped-ion qubit. Its primary value lies in identifying a genuinely new qubit modality in the trapped-ion space and providing the atomic physics characterization needed to pursue it experimentally. The impact will ultimately depend on experimental validation, but the thoroughness of the analysis and the clear advantages identified make this a significant contribution that is likely to stimulate experimental effort.

    Rating:7.5/ 10
    Significance 8Rigor 7.5Novelty 8Clarity 8

    Generated Apr 20, 2026

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