${}^{29}$Si nuclear spins as a resource for donor spin qubits in silicon

Abstract

Nuclear spin registers in the vicinity of electron spins in solid state systems offer a powerful resource to address the challenge of scalability in quantum architectures. We investigate here the properties of ${}^{29}$Si nuclear spins surrounding donor atoms in silicon, and consider the use of such spins, combined with the donor nuclear spin, as a quantum register coupled to the donor electron spin. We find the coherence of the nearby ${}^{29}$Si nuclear spins is effectively protected by the presence of the donor electron spin, leading to coherence times in the second timescale - over two orders of magnitude greater than the coherence times in bulk silicon. We theoretically investigate the use of such a register for quantum error correction, including methods to protect nuclear spins from the ionisation/neutralisation of the donor, which is necessary for the re-initialisation of the ancillae qubits. This provides a route for multi-round quantum error correction using donors in silicon.

6 pages, 4 figures

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Cited by in corpus (13)

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• Repeated quantum error correction on a continuously encoded qubit by real-time feedback
• Nuclear spin-wave quantum register for a solid state qubit
• A silicon quantum-dot-coupled nuclear spin qubit
• Individually Addressable and Spectrally Programmable Artificial Atoms in Silicon Photonics
• First-principles hyperfine tensors for electrons and holes in GaAs and silicon
• Enhanced spin coherence while displacing electron in a 2D array of quantum dots
• Parallel detection and spatial mapping of large nuclear spin clusters
• Quantum spectroscopy of single spins assisted by a classical clock
• Probing Anderson Localization using the Dynamics of a Qubit
• Nuclear spin decoherence of neutral ${}^{31}$P donors in silicon: Effect of environmental ${}^{29}$Si nuclei
• Dynamic nuclear polarization and ESR hole burning in As doped silicon