Efficient Simulation of Leakage Errors in Quantum Error Correcting Codes Using Tensor Network Methods

• Item type: SIG Technical Reports(1)
• 公開日: 2023-06-22
• タイトル: Efficient Simulation of Leakage Errors in Quantum Error Correcting Codes Using Tensor Network Methods
• タイトル / 言語: en
• タイトル: Efficient Simulation of Leakage Errors in Quantum Error Correcting Codes Using Tensor Network Methods
• 言語: eng
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_18gh
• 資源タイプ: technical report
• 著者所属: Graduate School of Engineering Science, Osaka University
• 著者所属: NTT Computer and Data Science Laboratories, NTT Corporation／JST, PRESTO
• 著者所属: Yukawa Institute of Theoretical Physics (YITP), Kyoto University／JST, PRESTO
• 著者所属(英): en
• 著者所属(英): Graduate School of Engineering Science, Osaka University
• 著者所属(英): en
• 著者所属(英): NTT Computer and Data Science Laboratories, NTT Corporation / JST, PRESTO
• 著者所属(英): en
• 著者所属(英): Yukawa Institute of Theoretical Physics (YITP), Kyoto University / JST, PRESTO
• 著者名: Hidetaka, Manabe; Yasunari, Suzuki; Andrew, Darmawan
• 著者名(英): Hidetaka, Manabe; Yasunari, Suzuki; Andrew, Darmawan
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: Leakage errors, in which qubits are excited to levels outside the qubit subspace, represent a significant obstacle in the development of robust quantum computers. We present a computationally efficient simulation methodology for studying leakage errors in quantum error correcting codes (QECCs) using tensor network methods, specifically matrix product states (MPS). Our approach enables the simulation of various leakage processes, including thermal noise and coherent errors without approximation (such as the Pauli twirl approximation). We apply our method to the one-dimensional (1D) repetition code. By leveraging the small amount of entanglement generated during the error correction process, we are able to study large systems over many code cycles. We also use our simulation technique to evaluate a variety of leakage removal strategies.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: Leakage errors, in which qubits are excited to levels outside the qubit subspace, represent a significant obstacle in the development of robust quantum computers. We present a computationally efficient simulation methodology for studying leakage errors in quantum error correcting codes (QECCs) using tensor network methods, specifically matrix product states (MPS). Our approach enables the simulation of various leakage processes, including thermal noise and coherent errors without approximation (such as the Pauli twirl approximation). We apply our method to the one-dimensional (1D) repetition code. By leveraging the small amount of entanglement generated during the error correction process, we are able to study large systems over many code cycles. We also use our simulation technique to evaluate a variety of leakage removal strategies.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA12894105
• 書誌情報: 研究報告量子ソフトウェア（QS）; 巻 2023-QS-9, 号 1, p. 1-10, 発行日 2023-06-22
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 2435-6492
• Notice: SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc.
• 出版者 / 言語: ja
• 出版者: 情報処理学会