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Entanglement Detection and Characterization of Topological States

Research Project

Project/Area Number 19F19326
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section外国
Review Section Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
Research InstitutionInstitute of Physical and Chemical Research

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)

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
Project Period (FY) 2019-11-08 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
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)
Keywordsmultipartite / 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
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.

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.

Research Progress Status

令和3年度が最終年度であるため、記入しない。

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。

Report

(3 results)
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (12 results)

All 2022 2021 2020 2019

All Journal Article (10 results) (of which Int'l Joint Research: 9 results,  Peer Reviewed: 9 results,  Open Access: 7 results) Presentation (2 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Multipartite entanglement of the topologically ordered state in a perturbed toric code2022

    • Author(s)
      Yu-Ran Zhang, Yu Zeng, Tao Liu, Heng Fan, J. Q. You, Franco Nori
    • Journal Title

      Physical Review Research (2022)

      Volume: 03315 V1 Pages: 1-10

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
    • Journal Title

      Physical Review Letters

      Volume: 128 Issue: 16 Pages: 1-6

    • DOI

      10.1103/physrevlett.128.160502

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
    • Journal Title

      Physical Review Letters

      Volume: 128 Issue: 15 Pages: 1-8

    • DOI

      10.1103/physrevlett.128.150501

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Deterministic one-way logic gates on a cloud quantum computer2022

    • Author(s)
      Zhi-Peng Yang, Alakesh Baishya, Huan-Yu Ku, Yu-Ran Zhang, Anton Frisk Kockum, Yueh-Nan Chen, Fu-Li Li, Jaw-Shen Tsai, Franco Nori
    • Journal Title

      Physical Review A

      Volume: 105 Issue: 4 Pages: 1-12

    • DOI

      10.1103/physreva.105.042610

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Discrete time crystal in a driven-dissipative Bose-Hubbard model with two-photon processes2022

    • Author(s)
      Tong Liu, Yu-Ran Zhang, Kai Xu, Jian Cui, and Heng Fan
    • Journal Title

      Physical Review A

      Volume: 105, 013710 Issue: 1 Pages: 1-10

    • DOI

      10.1103/physreva.105.013710

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
    • Journal Title

      Physical Review Letters

      Volume: 127 Issue: 2 Pages: 1-6

    • DOI

      10.1103/physrevlett.127.020602

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
    • Journal Title

      npj Quantum Information

      Volume: 7, Article number: 51 Issue: 1 Pages: 1-6

    • DOI

      10.1038/s41534-021-00385-3

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
    • Journal Title

      Science Advances

      Volume: Vol. 6, no. 25 Issue: 17 Pages: 9717-9726

    • DOI

      10.1039/d0nr01765e

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Observing information backflow from controllable non-Markovian multichannels in diamond2020

    • Author(s)
      Ya-Nan Lu, Yu-Ran Zhang, Gang-Qin Liu, Franco Nori, Heng Fan, and Xin-Yu Pan
    • Journal Title

      Physical Review Letters

      Volume: Lett. 124, Iss.21 Issue: 21

    • DOI

      10.1103/physrevlett.124.210502

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Quantifying quantum non-Markovianity based on quantum coherence via skew information2019

    • Author(s)
      Shao Lian-He、Zhang Yu-Ran、Luo Yu、Xi Zhengjun、Fei Shao-Ming
    • Journal Title

      Laser Physics Letters

      Volume: 17 Issue: 1 Pages: 015202-015202

    • DOI

      10.1088/1612-202x/ab5fe3

    • Related Report
      2019 Annual Research Report
  • [Presentation] Observing nonlinear spin squeezing and entanglement of non-Gaussian states with interconnected superconducting qubits2021

    • Author(s)
      Yu-Ran Zhang
    • Organizer
      APS March Meeting 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Observing nonlinear spin squeezing and entanglement of non-Gaussian states with interconnected superconducting qubits2021

    • Author(s)
      Ya-Nan Lu, Yu-Ran Zhang, Gang-Qin Liu, Franco Nori, Heng Fan, and Xin-Yu Pan
    • Organizer
      APS March meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research

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Published: 2019-11-29   Modified: 2024-03-26  

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