Testing Scalable Bell Inequalities for Quantum Graph States on IBM Quantum Devices

• Item type: SIG Technical Reports(1)
• 公開日: 2021-03-22
• タイトル: Testing Scalable Bell Inequalities for Quantum Graph States on IBM Quantum Devices
• タイトル / 言語: en
• タイトル: Testing Scalable Bell Inequalities for Quantum Graph States on IBM Quantum Devices
• 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 Information Science and Technology, The University of Tokyo
• 著者所属: IBM Quantum, IBM Research Tokyo
• 著者所属: Graduate School of Information Science and Technology, The University of Tokyo
• 著者所属: Graduate School of Information Science and Technology, The University of Tokyo
• 著者所属: Graduate School of Information Science and Technology, The University of Tokyo
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Technology, The University of Tokyo
• 著者所属(英): en
• 著者所属(英): IBM Quantum, IBM Research Tokyo
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Technology, The University of Tokyo
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Technology, The University of Tokyo
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Technology, The University of Tokyo
• 著者名: Bo, Yang; Rudy, Raymond; Hiroshi, Imai; Hyungseok, Chang; Hidefumi, Hiraishi
• 著者名(英): Bo, Yang; Rudy, Raymond; Hiroshi, Imai; Hyungseok, Chang; Hidefumi, Hiraishi
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: Testing and verifying imperfect multi-qubit quantum devices are important as such noisy quantum devices are widely available today. Bell inequalities are known useful for testing and verifying the quality of the quantum devices from their nonlocal quantum states and local measurements. There have been many experiments demonstrating the violations of Bell inequalities but they are limited in the number of qubits and the types of quantum states. We report violations of Bell inequalities on IBM Quantum devices based on the scalable and robust inequalities maximally violated by graph states as proposed by Baccari et al. (Ref.[1]). The violations are obtained from the quantum states of path graphs up to 57 and 21 qubits on a 65-qubit and two 27-qubit IBM Quantum devices respectively, and from those of star graphs up to 7, 10 and 11 qubits with error mitigation on the same devices. We are able to show violations of the inequalities on various graph states by constructing low-depth quantum circuits producing them, and by applying the readout error mitigation technique. We also point out that quantum circuits for star graph states of size N can be realized with circuits of depth O(√N) on subdivided honeycomb lattices which are the topology of the 65-qubit IBM Quantum device. Our experiments show encouraging results on the ability of existing quantum devices to prepare entangled quantum states, and provide experimental evidences on the benefit of scalable Bell inequalities for testing them.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: Testing and verifying imperfect multi-qubit quantum devices are important as such noisy quantum devices are widely available today. Bell inequalities are known useful for testing and verifying the quality of the quantum devices from their nonlocal quantum states and local measurements. There have been many experiments demonstrating the violations of Bell inequalities but they are limited in the number of qubits and the types of quantum states. We report violations of Bell inequalities on IBM Quantum devices based on the scalable and robust inequalities maximally violated by graph states as proposed by Baccari et al. (Ref.[1]). The violations are obtained from the quantum states of path graphs up to 57 and 21 qubits on a 65-qubit and two 27-qubit IBM Quantum devices respectively, and from those of star graphs up to 7, 10 and 11 qubits with error mitigation on the same devices. We are able to show violations of the inequalities on various graph states by constructing low-depth quantum circuits producing them, and by applying the readout error mitigation technique. We also point out that quantum circuits for star graph states of size N can be realized with circuits of depth O(√N) on subdivided honeycomb lattices which are the topology of the 65-qubit IBM Quantum device. Our experiments show encouraging results on the ability of existing quantum devices to prepare entangled quantum states, and provide experimental evidences on the benefit of scalable Bell inequalities for testing them.
• 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 2021-QS-2, 号 18, p. 1-10, 発行日 2021-03-22
• 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