Entanglement Detection and Characterization of Topological States
| Project/Area Number |
19F19326
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 外国 |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
NORI FRANCO 国立研究開発法人理化学研究所, 開拓研究本部, 主任研究員 (50415262)
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| Co-Investigator(Kenkyū-buntansha) |
ZHANG YU-RAN 国立研究開発法人理化学研究所, .開拓研究本部, 外国人特別研究員
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| Project Period (FY) |
2019-11-08 – 2022-03-31
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| Project Status |
Completed (Fiscal Year 2021)
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| Budget Amount *help |
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2021: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2020: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2019: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | multipartite / entanglement / quantum simulation / superconducting qubits / quantum simulator / superconducting / phase transition / non-Markovian / multichannels in diamond / information backflow / Multipartite / quantum Fisher / non-Markovianity / non-Hermitian / topological phases / quantum walks / dynamical phase transitions |
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| Outline of Research at the Start |
This proposal aims to build up a theory framework for the characterization of topological states by multipartite entanglement witnessed by QFI with respect to nonlocal generators and to design an experimental proposal for the experimental verification of our theory. We also plan to develop advanced numerical methods for identifying topological phases using multipartite entanglement in strongly interacting many-body systems, as well as to investigate the multipartite entanglement via QFI of topological states in non-Hermitian systems.
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| Outline of Annual Research Achievements |
We studied several emergent phenomena in quantum many-body systems from the perspective of quantum information. We theoretically studied topological phases in perturbed toric codes using quantum Fisher information (QFI). We showed thermalization and disorder-assisted stabilization of topological order after a quantum quench. We studied the 2D toric code at finite temperatures and showed that topological order cannot survive. Using a 19-qubit superconducting (SC) circuit, we generated and characterized multi-qubit entangled states. With 10 qubits, we measured the nonlinear squeezing parameter that had never been measured before. With all 19 qubits, we observed a metrological gain of 9.89 dB over the standard quantum limit, indicating a high level of entanglement for quantum-enhanced estimation sensitivity. We employed a 1D 12-qubit SC circuit to identify regimes of strong and weak thermalization with different states. Using a ladder-type SC circuit, we simulated both the XX-ladder and XX-chain models. We signaled thermalization and information scrambling in the XX ladder, which are absent in the XX chain. We realized a deterministic one-way C-not gate and one-way X rotations on IBM’s quantum-computing platform. We used multipartite entanglement to detect dynamical phase transitions using 16 SC qubits. We demonstrated the engineering of multiple dissipative channels by controlling adjacent nuclear spins of a NV center and observed the QFI’s flows to and from the environment.
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| Research Progress Status |
令和3年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
令和3年度が最終年度であるため、記入しない。
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Report
(3 results)
Research Products
(12 results)
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[Journal Article] Observation of thermalization and information scrambling in a superconducting quantum processor2022
Author(s)
Qingling Zhu, Zheng-Hang Sun, Ming Gong, Fusheng Chen, Yu-Ran Zhang, Yulin Wu, Yangsen Ye, Chen Zha, Shaowei Li, Shaojun Guo, Haoran Qian, He-Liang Huang, Jiale Yu, Hui Deng, Hao Rong, Jin Lin, Yu Xu, Lihua Sun, Cheng Guo, Na Li, Futian Liang, Cheng-Zhi Peng, Heng Fan, Xiaobo Zhu, and Jian-Wei Pan
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Journal Title
Physical Review Letters
Volume: 128
Issue: 16
Pages: 1-6
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Metrological characterization of non-Gaussian entangled states of superconducting qubits2022
Author(s)
Kai Xu, Yu-Ran Zhang, Zheng-Hang Sun, Hekang Li, Pengtao Song, Zhongcheng Xiang, Kaixuan Huang, Hao Li, Yun-Hao Shi, Chi-Tong Chen, Xiaohui Song, Dongning Zheng, Franco Nori, H. Wang, Heng Fan
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Journal Title
Physical Review Letters
Volume: 128
Issue: 15
Pages: 1-8
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Observation of Strong and Weak Thermalization in a Superconducting Quantum Processor2021
Author(s)
Fusheng Chen, Zheng-Hang Sun, Ming Gong, Qingling Zhu, Yu-Ran Zhang, Yulin Wu, Yangsen Ye, Chen Zha, Shaowei Li, Shaojun Guo, Haoran Qian, He-Liang Huang, Jiale Yu, Hui Deng, Hao Rong, Jin Lin, Yu Xu, Lihua Sun, Cheng Guo, Na Li, Futian Liang, Cheng-Zhi Peng, Heng Fan, Xiaobo Zhu, and Jian-Wei Pan
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Journal Title
Physical Review Letters
Volume: 127
Issue: 2
Pages: 1-6
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Observation of Bloch oscillations and Wannier-Stark localization on a superconducting processor2021
Author(s)
Xue-Yi Guo, Zi-Yong Ge, Hekang Li, Zhan Wang, Yu-Ran Zhang, Peangtao Song, Zhongcheng Xiang, Xiaohui Song, Yirong Jin, Kai Xu, Dongning Zheng, and Heng Fan
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Journal Title
npj Quantum Information
Volume: 7, Article number: 51
Issue: 1
Pages: 1-6
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Probing the dynamical phase transition with a superconducting quantum simulator,2020
Author(s)
Kai Xu, Zheng-Hang Sun, Wuxin Liu, Yu-Ran Zhang, Hekang Li, Hang Dong, Wenhui Ren, Pengfei Zhang, Franco Nori, Dongning Zheng, Heng Fan, and H. Wang
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Journal Title
Science Advances
Volume: Vol. 6, no. 25
Issue: 17
Pages: 9717-9726
DOI
Related Report
Peer Reviewed / Int'l Joint Research
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