The search identified a single paper that clearly presents an experimental realization of 3D shuttling of trapped-ion qubits in a quantum computing environment [1], with additional papers discussing related theoretical proposals and architectures for multi-layered ion traps relevant to 3D quantum information processing [2, 4, 7].

• Main Experimental Result:

  • [1] High-fidelity transport of trapped-ion qubits in a multilayer array (2023):
    • This paper demonstrates the experimental shuttling of single Mg$^+$ ions within a scalable 3D trap-array architecture containing up to thirteen sites.
    • Achieves a success rate of over 0.99999 for shuttling ions from a dedicated loading hub to multiple sites.
    • Demonstrates the preservation of coherence in ion qubit superposition states during inter-site shuttling, making it relevant for large-scale quantum computing applications.

• Related Proposals and Simulations:

  • [2] Bilayer crystals of trapped ions for quantum information processing (2023):
    • Describes using Penning traps to form bilayer crystals where ions self-organize into two well-defined layers.
    • Notes the potential for extending to multilayer crystals, thus contributing to increased dimensionality in trapped ion systems.
  • [4] Surface Ion Trap Designs for Vertical Ion Shuttling (2019):
    • Proposes a novel planar surface electrode ion trap designed for vertical (Z-axis) shuttling with detailed simulations.
    • Presents the design as a conceptual framework for vertical ion movement relevant to 3D shuttling.
  • [7] Three-dimensional lattice of ion traps (2009):
    • Proposes a 3D ion trap configuration forming a simple cubic arrangement.
    • Describes the feasibility of individually addressing ions in this lattice but lacks experimental validation of 3D shuttling.

• Broad Relevance but Not Directly Focused:

  • Several papers ([3, 5, 6, 8, 9, 10, 11, 12]) describe advancements in ion-trap quantum computing or shuttling in lower dimensions but do not specifically address 3D ion shuttling experimentally.

The search yielded one key experimental study [1] confirming the successful 3D shuttling of trapped ions with preserved qubit coherence, critical for scalable quantum computing. Additional theoretical proposals and architectures [2, 4, 7] provide supplementary insights into the potential for 3D shuttling, suggesting ongoing development in this field. These findings are instrumental for researchers aiming to enhance interconnectivity and scalability in quantum systems through 3D ion routing.

The most important categories to highlight focus on experimental realizations of 3D trapped-ion shuttling, as well as theoretical and simulated propositions relevant to 3D movement, given that experimental results might be exactly what you're looking for. We should also include a category for papers discussing related but less directly applicable aspects, such as non-3D shuttling or broader trapped-ion topics that could inform future 3D developments.

Title 1: "Experimental Realizations of 3D Ion Shuttling" Description: "Papers presenting experimental demonstrations of routing or shuttling trapped ions in three-dimensional quantum computing environments." References: [1]

Title 2: "Theoretical Proposals and Simulations for 3D Ion Shuttling" Description: "Papers proposing or simulating routing or shuttling of trapped ions in three dimensions without experimental validation." References: [4, 7]

Title 3: "Experimental Implementations of Non-3D Ion Shuttling" Description: "Papers discussing experimental implementations of ion shuttling in one or two dimensions, potentially relevant for 3D advancements." References: [8, 11]

Title 4: "General Advances in Trapped Ion Quantum Computing" Description: "Papers discussing significant advancements in trapped ion quantum computing that do not specifically focus on ion shuttling in three dimensions." References: [2, 5, 6]