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Quantum metrological performance of WW¯-like state in Ising model

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  • Li, Yan
  • Ren, Zhihong

Abstract

We examine the metrological performance of WW¯-like state (αWN+βW¯N) in quantum phase estimation. Based on the framework of quantum interferometry, we analytically derive the quantum Fisher information (QFI) and analyze the precision limits. In the noninteracting environment, the metrological power of WW¯-like state is same as that of the W state in few-qubit case but symmetrically enhanced (with respect to β2) in large-qubit case. In the Ising model, with increasing interaction strength, the QFI of N≤6 qubit WW¯-like state is universally enhanced and displays different and exotic trends (with respect to β2), particularly for 4- and 6-qubit cases where it respectively shows a reversible phenomenon and a reversal scenario. Regarding others (N>6), it exhibits a similar trend that the precision limit is always better than that of WW¯ state in strong interaction.

Suggested Citation

  • Li, Yan & Ren, Zhihong, 2025. "Quantum metrological performance of WW¯-like state in Ising model," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:chsofr:v:195:y:2025:i:c:s096007792500270x
    DOI: 10.1016/j.chaos.2025.116257
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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. Li, Yan & Ren, Zhihong, 2022. "Nonlocal operation enhanced entanglement detection and classification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    3. Li, Yan & Ren, Zhihong, 2023. "Quantum Fisher information of an N-qubit maximal sliced state in decoherence channels and Ising-type interacting model," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    4. Christian D. Marciniak & Thomas Feldker & Ivan Pogorelov & Raphael Kaubruegger & Denis V. Vasilyev & Rick Bijnen & Philipp Schindler & Peter Zoller & Rainer Blatt & Thomas Monz, 2022. "Optimal metrology with programmable quantum sensors," Nature, Nature, vol. 603(7902), pages 604-609, March.
    5. Edwin Pedrozo-Peñafiel & Simone Colombo & Chi Shu & Albert F. Adiyatullin & Zeyang Li & Enrique Mendez & Boris Braverman & Akio Kawasaki & Daisuke Akamatsu & Yanhong Xiao & Vladan Vuletić, 2020. "Entanglement on an optical atomic-clock transition," Nature, Nature, vol. 588(7838), pages 414-418, December.
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