Fault-tolerant qubit encoding using a spin-7/2 qudit

• URL: http://arxiv.org/abs/2303.02084v2
• Date: Wed, 24 May 2023 12:19:20 GMT
• Title: Fault-tolerant qubit encoding using a spin-7/2 qudit
• Authors: Sumin Lim, Junjie Liu, and Arzhang Ardavan
• Abstract summary: We propose a quantum memory, implemented on a spin-7/2 nucleus hyperfine-coupled to an electron spin-1/2 qubit. Our encoding may be efficiently implemented in existing experimentally realised molecular electron-nuclear quantum spin systems.
• Score: 4.678423453820858
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The implementation of error correction protocols is a central challenge in the development of practical quantum information technologies. Recently, multi-level quantum resources such as harmonic oscillators and qudits have attracted interest in this context because they offer the possibility of additional Hilbert space dimensions in a spatially compact way. Here we propose a quantum memory, implemented on a spin-7/2 nucleus hyperfine-coupled to an electron spin-1/2 qubit, which provides first order $X$, $Y$ and $Z$ error correction using significantly fewer quantum resources than the equivalently effective qubit-based protocols. Our encoding may be efficiently implemented in existing experimentally realised molecular electron-nuclear quantum spin systems. The strategy can be extended to higher-order error protection on higher-spin nuclei.

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