Interference-induced state engineering and Hamiltonian control for noisy collective-spin metrology

Quantum Physics [Submitted on 24 Mar 2026] Interference-induced state engineering and Hamiltonian control for noisy collective-spin metrology Le Bin Ho, Vu Xuan Tung Duong, Nozomu Takahashi, Hiroaki Matsueda Interference provides a fundamental mechanism for generating and manipulating entanglement in many-body quantum systems. Here, we develop an interference framework in which the nonlinear dynamics of collective spin-\tfrac{1}{2} ensembles are mapped onto phase accumulation and self-interference in phase space, providing a direct and physically transparent description of entanglement formation. Within this framework, one-axis twisting produces Greenberger-Horne-Zeilinger (GHZ) states, while two-axis twisting generates multi-component GHZ superpositions relevant for multiparameter quantum metrology. Building on this interference-based description, we analyze metrological performance under realistic Markovian noise, including local and collective emission, pumping, and dephasing, and examine the role of Hamiltonian control based on linear and nonlinear interactions. We show that while control can enhance single-parameter sensitivity in a noise-dependent regime, the achievable precision in multiparameter estimation is fundamentally constrained. These results establish interference as a unifying principle linking nonlinear dynamics, entanglement generation, and metrological performance, and reveal intrinsic limitations of multiparameter quantum sensing. Our framework provides broadly applicable insight into the design of robust quantum-enhanced measurement protocols in noisy many-body systems. Comments: 17 pages, 11 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.22734 [quant-ph]   (or arXiv:2603.22734v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.22734 Focus to learn more Submission history From: Le Ho Bin [view email] [v1] Tue, 24 Mar 2026 02:58:35 UTC (10,973 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)