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

• URL: http://arxiv.org/abs/2601.23043v2
• Date: Tue, 03 Feb 2026 18:35:53 GMT
• Title: Dicke superposition probes for noise-resilient Heisenberg and super-Heisenberg Metrology
• Authors: Sudha, B. N. Karthik, K. S. Akhilesh, A. R. Usha Devi,
• Abstract summary: A class of N-qubit Dicke superposition states exhibit near-Heisenberg scaling, of the quantum Fisher information.<n>Certain Dicke superpositions are found to combine super-Heisenberg scaling with improved resilience to phase damping.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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