HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
情報科学研究科  >
雑誌発表論文等  >

Analog Quantum Error Correction with Encoding a Qubit into an Oscillator

フルテキスト
PhysRevLett.119.180507.pdf417 kBPDF見る/開く
この文献へのリンクには次のURLを使用してください:http://hdl.handle.net/2115/67854

タイトル: Analog Quantum Error Correction with Encoding a Qubit into an Oscillator
著者: Fukui, Kosuke 著作を一覧する
Tomita, Akihisa 著作を一覧する
Okamoto, Atsushi 著作を一覧する
発行日: 2017年11月 3日
出版者: American Physical Society (APS)
誌名: Physical Review Letters
巻: 119
号: 18
開始ページ: 180507
出版社 DOI: 10.1103/PhysRevLett.119.180507
抄録: 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
資料タイプ: article
URI: http://hdl.handle.net/2115/67854
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 富田 章久

 

本サイトに関するご意見・お問い合わせは repo at lib.hokudai.ac.jp へお願いします。 - 北海道大学