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Tracking quantum error correction

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Title: Tracking quantum error correction
Authors: Fukui, Kosuke Browse this author
Tomita, Akihisa Browse this author →KAKEN DB
Okamoto, Atsushi Browse this author →KAKEN DB
Issue Date: 22-Aug-2018
Publisher: American Physical Society (APS)
Journal Title: Physical Review A
Volume: 98
Issue: 2
Start Page: 022326
Publisher DOI: 10.1103/PhysRevA.98.022326
Abstract: To implement fault-tolerant quantum computation with continuous variables, the Gottesman-Kitaev-Preskill (GKP) qubit has been recognized as an important technological element. We have proposed a method to reduce the required squeezing level to realize large-scale quantum computation with the GKP qubit [Phys. Rev. X 8, 021054 (2018)], harnessing the virtue of analog information in the GKP qubits. In the present work, to reduce the number of qubits required for large-scale quantum computation, we propose the tracking quantum error correction, where the logical-qubit-level quantum error correction is partially substituted by the single-qubit-level quantum error correction. In the proposed method, the analog quantum error correction is utilized to make the performances of the single-qubit-level quantum error correction almost identical to those of the logical-qubit-level quantum error correction in a practical noise level. The numerical results show that the proposed tracking quantum error correction reduces the number of qubits during a quantum error-correction process by the reduction rate {2(n - 1)4(l-1) - n + 1}/(2n x 4(l-1)) for n-cycles of the quantum error-correction process using Knill's C-4/C-6 code with the concatenation level l. Hence, the proposed tracking quantum error correction has great advantage in reducing the required number of physical qubits, and will open a new way to expoloit the advantages of the GKP qubits in practical quantum computation.
Rights: ©2018 American Physical Society
Type: article
Appears in Collections:情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 富田 章久

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