TY - JOUR KW - Quantum Physics AU - Raphael Kaubruegger AU - Diego Padilla AU - Athreya Shankar AU - Christoph Hotter AU - Sean Muleady AU - Jacob Bringewatt AU - Youcef Baamara AU - Erfan Abbasgholinejad AU - Alexey Gorshkov AU - Klaus M√∏lmer AU - James Thompson AU - Ana Rey AB - Developing sensors with large particle numbers \$N\$ that can resolve subtle physical effects is a central goal in precision measurement science. Entangled quantum sensors can surpass the standard quantum limit (SQL), where the signal variance scales as \$1/N\$, and approach the Heisenberg limit (HL) with variance scaling as \$1/N\textasciicircum2\$. However, entangled states are typically more sensitive to noise, especially common-mode noise such as magnetic field fluctuations, control phase noise, or vibrations in atomic interferometers. We propose a two-node entanglement-enhanced quantum sensor network for differential signal estimation that intrinsically rejects common-mode noise while remaining robust against local, uncorrelated noise. This architecture enables sensitivities approaching the Heisenberg limit. We investigate two state preparation strategies: (i) unitary entanglement generation analogous to bosonic two-mode squeezing, yielding Heisenberg scaling; and (ii) dissipative preparation via collective emission into a shared cavity mode, offering a \$\sqrt\N\\$ improvement over the SQL. Numerical simulations confirm that both protocols remain effective under realistic conditions, supporting scalable quantum-enhanced sensing in the presence of dominant common-mode noise. DA - jun DO - 10.48550/arXiv.2506.10151 N1 - arXiv:2506.10151 [quant-ph] N2 - Developing sensors with large particle numbers \$N\$ that can resolve subtle physical effects is a central goal in precision measurement science. Entangled quantum sensors can surpass the standard quantum limit (SQL), where the signal variance scales as \$1/N\$, and approach the Heisenberg limit (HL) with variance scaling as \$1/N\textasciicircum2\$. However, entangled states are typically more sensitive to noise, especially common-mode noise such as magnetic field fluctuations, control phase noise, or vibrations in atomic interferometers. We propose a two-node entanglement-enhanced quantum sensor network for differential signal estimation that intrinsically rejects common-mode noise while remaining robust against local, uncorrelated noise. This architecture enables sensitivities approaching the Heisenberg limit. We investigate two state preparation strategies: (i) unitary entanglement generation analogous to bosonic two-mode squeezing, yielding Heisenberg scaling; and (ii) dissipative preparation via collective emission into a shared cavity mode, offering a \$\sqrt\N\\$ improvement over the SQL. Numerical simulations confirm that both protocols remain effective under realistic conditions, supporting scalable quantum-enhanced sensing in the presence of dominant common-mode noise. PB - arXiv PY - 2025 TI - Lieb-Mattis states for robust entangled differential phase sensing UR - http://arxiv.org/abs/2506.10151 ER -