Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit

• URL: http://arxiv.org/abs/2405.20827v2
• Date: Thu, 09 Jan 2025 16:03:50 GMT
• Title: Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit
• Authors: Sumin Lim, Mikhail V. Vaganov, Junjie Liu, Arzhang Ardavan,
• Abstract summary: High-dimensional quantum systems offer more hardware-efficient protocols than qubit-based approaches.<n>We implement a logical qubit encoded on the four states of a nuclear spin hyperfine-coupled to a S=1/2 electron spin qubit.<n>Our results confirm the potential of these proposals for practical, implementable, fault tolerant quantum memories.
• Score: 4.720777561985926
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The realization of effective quantum error correction protocols remains a central challenge in the development of scalable quantum computers. Employing high-dimensional quantum systems (qudits) can offer more hardware-efficient protocols than qubit-based approaches. Using electron-nuclear double resonance, we implement a logical qubit encoded on the four states of a I=3/2 nuclear spin hyperfine-coupled to a S=1/2 electron spin qubit; the encoding protects against the dominant decoherence mechanism in such systems, fluctuations of the quantizing magnetic field. We explore the dynamics of the encoded state both under a controlled application of the fluctuation and under natural decoherence processes. Our results confirm the potential of these proposals for practical, implementable, fault tolerant quantum memories.

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