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Hokkaido University Collection of Scholarly and Academic Papers >
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Peer-reviewed Journal Articles, etc >
Analog Quantum Error Correction with Encoding a Qubit into an Oscillator
| Title: | Analog Quantum Error Correction with Encoding a Qubit into an Oscillator |
| Authors: | Fukui, Kosuke Browse this author | | Tomita, Akihisa Browse this author →KAKEN DB | | Okamoto, Atsushi Browse this author →KAKEN DB |
| Issue Date: | 3-Nov-2017 |
| Publisher: | American Physical Society (APS) |
| Journal Title: | Physical Review Letters |
| Volume: | 119 |
| Issue: | 18 |
| Start Page: | 180507 |
| Publisher DOI: | 10.1103/PhysRevLett.119.180507 |
| PMID: | 29219558 |
| Abstract: | To implement fault-tolerant quantum computation with continuous variables, Gottesman-Kitaev-Preskill (GKP) qubits have been recognized as an important technological element. However, the analog outcome of GKP qubits, which includes beneficial information to improve the error tolerance, has been wasted, because the GKP qubits have been treated as only discrete variables. In this Letter, we propose a hybrid quantum error correction approach that combines digital information with the analog information of the GKP qubits using a maximum-likelihood method. As an example, we demonstrate that the three-qubit bit-flip code can correct double errors, whereas the conventional method based on majority voting on the binary measurement outcome can correct only a single error. As another example, we show that a concatenated code known as Knill's C-4/C-6 code can achieve the hashing bound for the quantum capacity of the Gaussian quantum channel (GQC). To the best of our knowledge, this approach is the first attempt to draw both digital and analog information to improve quantum error correction performance and achieve the hashing bound for the quantum capacity of the GQC. |
| Rights: | ©2017 American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/67854 |
| 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)
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Submitter: 富田 章久
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