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Heisenberg-limited single-mode quantum metrology in a superconducting circuit

Author

Listed:
  • W. Wang

    (Tsinghua University)

  • Y. Wu

    (Tsinghua University
    University of Michigan)

  • Y. Ma

    (Tsinghua University)

  • W. Cai

    (Tsinghua University)

  • L. Hu

    (Tsinghua University)

  • X. Mu

    (Tsinghua University)

  • Y. Xu

    (Tsinghua University)

  • Zi-Jie Chen

    (University of Science and Technology of China)

  • H. Wang

    (Tsinghua University)

  • Y. P. Song

    (Tsinghua University)

  • H. Yuan

    (Chinese University of Hong Kong)

  • C.-L. Zou

    (University of Science and Technology of China)

  • L.-M. Duan

    (Tsinghua University)

  • L. Sun

    (Tsinghua University)

Abstract

Two-mode interferometers lay the foundations for quantum metrology. Instead of exploring quantum entanglement in the two-mode interferometers, a single bosonic mode also promises a measurement precision beyond the shot-noise limit (SNL) by taking advantage of the infinite-dimensional Hilbert space of Fock states. Here, we demonstrate a single-mode phase estimation that approaches the Heisenberg limit (HL) unconditionally. Due to the strong dispersive nonlinearity and long coherence time of a microwave cavity, quantum states of the form $$\left( {\left| 0 \right\rangle + \left| N \right\rangle } \right)/\sqrt 2$$ 0 + N ∕ 2 can be generated, manipulated and detected with high fidelities, leading to an experimental phase estimation precision scaling as ∼N−0.94. A 9.1 dB enhancement of the precision over the SNL at N = 12 is achieved, which is only 1.7 dB away from the HL. Our experimental architecture is hardware efficient and can be combined with quantum error correction techniques to fight against decoherence, and thus promises quantum-enhanced sensing in practical applications.

Suggested Citation

  • W. Wang & Y. Wu & Y. Ma & W. Cai & L. Hu & X. Mu & Y. Xu & Zi-Jie Chen & H. Wang & Y. P. Song & H. Yuan & C.-L. Zou & L.-M. Duan & L. Sun, 2019. "Heisenberg-limited single-mode quantum metrology in a superconducting circuit," Nature Communications, Nature, vol. 10(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-12290-7
    DOI: 10.1038/s41467-019-12290-7
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    Cited by:

    1. W. Wang & Z.-J. Chen & X. Liu & W. Cai & Y. Ma & X. Mu & X. Pan & Z. Hua & L. Hu & Y. Xu & H. Wang & Y. P. Song & X.-B. Zou & C.-L. Zou & L. Sun, 2022. "Quantum-enhanced radiometry via approximate quantum error correction," Nature Communications, Nature, vol. 13(1), pages 1-8, December.

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