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Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics

Author

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  • Alexander McDonald

    (University of Chicago
    University of Chicago)

  • Aashish A. Clerk

    (University of Chicago)

Abstract

Non-Hermitian systems exhibit markedly different phenomena than their conventional Hermitian counterparts. Several such features, such as the non-Hermitian skin effect, are only present in spatially extended systems. Potential applications of these effects in many-mode systems however remains largely unexplored. Here, we study how unique features of non-Hermitian lattice systems can be harnessed to improve Hamiltonian parameter estimation in a fully quantum setting. While the quintessential non-Hermitian skin effect does not provide any distinct advantage, alternate effects yield dramatic enhancements. We show that certain asymmetric non-Hermitian tight-binding models with a $${{\mathbb{Z}}}_{2}$$ Z 2 symmetry yield a pronounced sensing advantage: the quantum Fisher information per photon increases exponentially with system size. We find that these advantages persist in regimes where non-Markovian and non-perturbative effects become important. Our setup is directly compatible with a variety of quantum optical and superconducting circuit platforms, and already yields strong enhancements with as few as three lattice sites.

Suggested Citation

  • Alexander McDonald & Aashish A. Clerk, 2020. "Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics," Nature Communications, Nature, vol. 11(1), pages 1-12, December.
  • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-19090-4
    DOI: 10.1038/s41467-020-19090-4
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    Cited by:

    1. Zhongming Gu & He Gao & Haoran Xue & Jensen Li & Zhongqing Su & Jie Zhu, 2022. "Transient non-Hermitian skin effect," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Jamal H. Busnaina & Zheng Shi & Alexander McDonald & Dmytro Dubyna & Ibrahim Nsanzineza & Jimmy S. C. Hung & C. W. Sandbo Chang & Aashish A. Clerk & Christopher M. Wilson, 2024. "Quantum simulation of the bosonic Kitaev chain," Nature Communications, Nature, vol. 15(1), pages 1-11, December.

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