Fault-tolerant operation of a logical qubit in a diamond quantum processor

• URL: http://arxiv.org/abs/2108.01646v1
• Date: Tue, 3 Aug 2021 17:39:25 GMT
• Title: Fault-tolerant operation of a logical qubit in a diamond quantum processor
• Authors: M. H. Abobeih, Y. Wang, J. Randall, S. J. H. Loenen, C. E. Bradley, M. Markham, D. J. Twitchen, B. M. Terhal, T. H. Taminiau
• Abstract summary: We demonstrate fault-tolerant operations on a logical qubit using spin qubits in diamond. Our realization of fault-tolerant protocols on the logical-qubit level is a key step towards large-scale quantum information processing.
• Score: 0.21670084965090575
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Solid-state spin qubits are a promising platform for quantum computation and quantum networks. Recent experiments have demonstrated high-quality control over multi-qubit systems, elementary quantum algorithms and non-fault-tolerant error correction. Large-scale systems will require using error-corrected logical qubits that are operated fault-tolerantly, so that reliable computation is possible despite noisy operations. Overcoming imperfections in this way remains a major outstanding challenge for quantum science. Here, we demonstrate fault-tolerant operations on a logical qubit using spin qubits in diamond. Our approach is based on the 5-qubit code with a recently discovered flag protocol that enables fault-tolerance using a total of seven qubits. We encode the logical qubit using a novel protocol based on repeated multi-qubit measurements and show that it outperforms non-fault-tolerant encoding schemes. We then fault-tolerantly manipulate the logical qubit through a complete set of single-qubit Clifford gates. Finally, we demonstrate flagged stabilizer measurements with real-time processing of the outcomes. Such measurements are a primitive for fault-tolerant quantum error correction. While future improvements in fidelity and the number of qubits will be required, our realization of fault-tolerant protocols on the logical-qubit level is a key step towards large-scale quantum information processing based on solid-state spins.

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