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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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