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Deterministic realization of collective measurements via photonic quantum walks

Author

Listed:
  • Zhibo Hou

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

  • Jun-Feng Tang

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

  • Jiangwei Shang

    (Universität Siegen
    Beijing Institute of Technology)

  • Huangjun Zhu

    (University of Cologne
    Fudan University
    Fudan University
    Fudan University)

  • Jian Li

    (Nanjing University of Posts and Telecommunications
    Nanjing University of Posts and Telecommunications, Ministry of Education)

  • Yuan Yuan

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

  • Kang-Da Wu

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

  • Guo-Yong Xiang

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

  • Chuan-Feng Li

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

  • Guang-Can Guo

    (University of Science and Technology of China, CAS
    University of Science and Technology of China)

Abstract

Collective measurements on identically prepared quantum systems can extract more information than local measurements, thereby enhancing information-processing efficiency. Although this nonclassical phenomenon has been known for two decades, it has remained a challenging task to demonstrate the advantage of collective measurements in experiments. Here, we introduce a general recipe for performing deterministic collective measurements on two identically prepared qubits based on quantum walks. Using photonic quantum walks, we realize experimentally an optimized collective measurement with fidelity 0.9946 without post selection. As an application, we achieve the highest tomographic efficiency in qubit state tomography to date. Our work offers an effective recipe for beating the precision limit of local measurements in quantum state tomography and metrology. In addition, our study opens an avenue for harvesting the power of collective measurements in quantum information-processing and for exploring the intriguing physics behind this power.

Suggested Citation

  • Zhibo Hou & Jun-Feng Tang & Jiangwei Shang & Huangjun Zhu & Jian Li & Yuan Yuan & Kang-Da Wu & Guo-Yong Xiang & Chuan-Feng Li & Guang-Can Guo, 2018. "Deterministic realization of collective measurements via photonic quantum walks," Nature Communications, Nature, vol. 9(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:9:y:2018:i:1:d:10.1038_s41467-018-03849-x
    DOI: 10.1038/s41467-018-03849-x
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    Cited by:

    1. Kang-Da Wu & Chengran Yang & Ren-Dong He & Mile Gu & Guo-Yong Xiang & Chuan-Feng Li & Guang-Can Guo & Thomas J. Elliott, 2023. "Implementing quantum dimensionality reduction for non-Markovian stochastic simulation," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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