Spin-squeezed states constitute a valuable entanglement resource capable of surpassing the standard quantum limit (SQL). However, spin-squeezed states only enable sub-SQL uncertainty within a narrow parametric window near some specific points. Identifying optimal measurement protocols for spin-squeezed states remains an outstanding challenge. Here, we present an adaptive Bayesian quantum estimation protocol that maintains optimal performance using spin-squeezed states, even in the presence of noise. Our protocol operates by maintaining measurements near the optimal operating point and employing Bayesian inference to sequentially perform robust high-precision phase estimation. To account for realistic experimental conditions, we explicitly incorporate phase noise into the Bayesian likelihood function for more accurate estimation. Our protocol can be applied to various scenarios, such as quantum gravimeters and atomic clocks, achieving precision enhancement over conventional schemes. Our approach offers superior precision and enhanced robustness against noise, making it highly promising for practical squeezing-enhanced quantum sensing.

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• Atom interferometry
• Atomic, optical & lattice clocks
• Cold atoms & matter waves
• Quantum metrology
• Quantum sensing
• Bayesian methods