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Interaction-enhanced quantum metrology with maximal superposition of symmetric Dicke state

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  • Li, Yan
  • Ren, Zhihong

Abstract

Achieving robust and high-precision quantum measurement is the ultimate goal in quantum metrology. Here, we employ the quantum Fisher information (QFI) as a tool to explore the potential of maximal superposition of symmetric Dicke (SSD) states in this aspect. The research in noninteracting environment shows that the metrological power of maximal SSD state is better than WW¯ state (a special kind of SSD state) but with a limitation of the number of qubits, N≤20. We then present the optimal strategies for achieving the precision limit and study the decoherence effects. In the interacting Ising model, the metrological performance is universally enhanced and as the interacting strength increases it exhibits an interesting reversal behavior that the large-qubit maximal SSD state performs better than WW¯ state and GHZ state in strong interaction, and vice versa. Additionally, we find that the effect of decay probability p on the precision limit is largely decreased in the amplitude damping channel, especially in the strong interaction, which may shed some new light on the noisy quantum metrology. Our results provide insights into the interaction-enhanced quantum metrology.

Suggested Citation

  • Li, Yan & Ren, Zhihong, 2026. "Interaction-enhanced quantum metrology with maximal superposition of symmetric Dicke state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).
    • Handle: RePEc:eee:phsmap:v:682:y:2026:i:c:s0378437125008441
    DOI: 10.1016/j.physa.2025.131192
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    References listed on IDEAS

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    1. Li, Yan & Ren, Zhihong, 2024. "Quantum metrology with superposition of GHZ state and Twin-Fock state," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Johannes Franke & Sean R. Muleady & Raphael Kaubruegger & Florian Kranzl & Rainer Blatt & Ana Maria Rey & Manoj K. Joshi & Christian F. Roos, 2023. "Quantum-enhanced sensing on optical transitions through finite-range interactions," Nature, Nature, vol. 621(7980), pages 740-745, September.
    3. Li, Yan & Ren, Zhihong, 2022. "Nonlocal operation enhanced entanglement detection and classification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    Full references (including those not matched with items on IDEAS)

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    1. Li, Yan & Ren, Zhihong, 2025. "Quantum metrological performance of WW¯-like state in Ising model," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
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