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

TL;DR

This paper investigates Dicke state superpositions as robust quantum probes for phase sensing, demonstrating near-Heisenberg scaling and enhanced noise resilience under various noise models, advancing quantum metrology capabilities.

Contribution

It identifies Dicke superposition states that achieve near-Heisenberg scaling with improved robustness to noise compared to other entangled states in quantum phase sensing.

Findings

Dicke superpositions exhibit near-Heisenberg scaling of quantum Fisher information.

Certain Dicke states outperform GHZ and W states in noisy environments.

Dicke superpositions maintain super-Heisenberg scaling under specific noise conditions.

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.