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arXiv:2601.23043 · Physical Review A

Dicke superposition probes for noise-resilient Heisenberg and super-Heisenberg Metrology

Sudha, B. N. Karthik, K. S. Akhilesh, A. R. Usha Devi

quant-phSubmitted Jan 30, 2026• Announced Feb 2, 2026• 0 citations
v1 · Jan 30, 2026v2 · Feb 3, 2026v3 · Jun 29, 2026v4 · Sep 2, 2026
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Abstract

Phase sensing with entangled multiqubit states in the presence of noise is a central theme of modern quantum metrology. The present work investigates Dicke state superposition probes for quantum phase sensing under parameter encoding generated by one- and two-body interaction Hamiltonians. A class of N-qubit Dicke superposition states that exhibit near-Heisenberg scaling, of the quantum Fisher information, while maintaining significantly enhanced robustness to dephasing noise compared to GHZ, W-superposition, and balanced Dicke states, under unitary encodings generated by one-body interaction Hamiltonians are identified. For two-body interactions, Dicke superposition probes optimizing the quantum Fisher information are identified, and their performance under phase-damping, amplitude-damping, and global depolarizing noise is explored. Within this family, certain Dicke superpositions are found to combine super-Heisenberg scaling with improved resilience to phase damping relative to Fisher information optimal probes. These results establish tailored near-optimal Dicke-state superposition probes as versatile and noise-resilient resources for Heisenberg and super-Heisenberg quantum phase sensing governed by one- and two-body interactions.

Journal reference
Phys. Rev. A 114, 032615 (2026)
DOI
10.1103/yk29-vcb8
Comments
14 pages, 17 figures

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