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

• URL: http://arxiv.org/abs/2507.15799v1
• Date: Mon, 21 Jul 2025 16:57:46 GMT
• Title: Quantum logic operations and algorithms in a single 25-level atomic qudit
• Authors: Pei Jiang Low, Nicholas C. F. Zutt, Gaurav A. Tathed, Crystal Senko,
• Abstract summary: We experimentally study the use of $137$Ba$+$ ions for quantum information processing.<n>We demonstrate high-dimensional qudit operations by implementing a 3-qubit Bernstein-Vazirani algorithm and a 4-qubit Toffoli gate with a single ion.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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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