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Quantum logic operations and algorithms in a single 25-level atomic qudit

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arxiv 2507.15799 v2 pith:LMZBN2BZ submitted 2025-07-21 quant-ph

Quantum logic operations and algorithms in a single 25-level atomic qudit

classification quant-ph
keywords quantumquditoperationsqubitsingleachievingadditionallyaffecting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Scaling quantum computers remains a substantial scientific and technological challenge. Leveraging the full range of intrinsic degrees of freedom in quantum systems offers a promising route towards enhanced algorithmic performance and hardware efficiency. We experimentally study the use of $^{137}$Ba$^+$ ions for quantum information processing, achieving high-fidelity state preparation and readout of up to 25 internal levels, thus forming a 25-dimensional qudit. By probing superpositions of up to 24 states, we investigate how errors scale with qudit dimension $d$ and identify the primary error sources affecting quantum coherence. Additionally, we demonstrate high-dimensional qudit operations by implementing a 3-qubit Bernstein-Vazirani algorithm and a 4-qubit Toffoli gate with a single ion. Our findings suggest that quantum computing architectures based on large-dimensional qudits hold significant promise.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Helios: A 98-qubit trapped-ion quantum computer

    quant-ph 2025-11 accept novelty 7.0

    Helios achieves 98 qubits with single-qubit gate infidelity 2.5(1)×10^{-5}, two-qubit 7.9(2)×10^{-4}, and SPAM 4.8(6)×10^{-4}, enabling circuits beyond classical simulation.

  2. Qudit-native simulation of the Potts model

    quant-ph 2025-11 conditional novelty 6.0

    A qudit-native circuit decomposition maps the Potts-model interaction onto a symmetric light-shift gate or an aux-level MS-gate sequence, and Trotterized evolution reproduces DQPT signatures in a q=3 chain.

  3. Transition-aware decomposition of single-qudit gates

    quant-ph 2025-10 conditional novelty 6.0

    For any connected selection-rule graph, any single-qudit unitary decomposes into at most d(d−1)/2 allowed two-level pulses via a BFS-based QR-style algorithm.

  4. Computational and physical complexity of synthesizing random multi-qudit quantum states and unitary operators

    quant-ph 2026-05 unverdicted novelty 5.0

    Computational complexity of random multi-qudit states and unitaries scales exponentially with qudit number, while physical complexity scales more slowly.