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<p>Quantum metrology harnesses nonclassical resources to enhance measurement precision beyond classical limits. While Schrödinger cat states—superpositions of coherent states—are canonical nonclassical resources, their metrological utility is often limited and task-specific. Here, we demonstrate that multiheaded cat states (MHCS), superpositions of three or four coherent states, provide a&#xa0;superior and versatile platform for quantum-enhanced sensing. Through a&#xa0;comprehensive quantum Fisher information analysis, we show that these states exhibit structured phase-space interference and enhanced Wigner negativity, which directly translate into improved metrological power. Specifically, the four-headed cat state (4HCS) achieves superior phase sensitivity within a&#xa0;practical photon number regime while 2HCS offer enhanced quadrature sensitivity. Our results establish MHCS as a&#xa0;powerful resource for quantum metrology and provide a&#xa0;clear framework for designing task-optimized quantum probes.</p>

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Multiheaded Schrödinger Cats and their Power for Quantum Metrology

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Tooba Bibi,
  • Sunia Javed,
  • Aruza Naeem,
  • Shahid Iqbal

摘要

Quantum metrology harnesses nonclassical resources to enhance measurement precision beyond classical limits. While Schrödinger cat states—superpositions of coherent states—are canonical nonclassical resources, their metrological utility is often limited and task-specific. Here, we demonstrate that multiheaded cat states (MHCS), superpositions of three or four coherent states, provide a superior and versatile platform for quantum-enhanced sensing. Through a comprehensive quantum Fisher information analysis, we show that these states exhibit structured phase-space interference and enhanced Wigner negativity, which directly translate into improved metrological power. Specifically, the four-headed cat state (4HCS) achieves superior phase sensitivity within a practical photon number regime while 2HCS offer enhanced quadrature sensitivity. Our results establish MHCS as a powerful resource for quantum metrology and provide a clear framework for designing task-optimized quantum probes.