The paper discusses the detection of ultralight vector dark matter (VDM) using terrestrial quantum sensors, particularly optomechanical sensors. The authors derive a signal analysis and statistical framework to infer the properties of VDM by considering the stochastic and vector nature of the underlying field, as well as the effects of Earth's rotation. They highlight a distinctive three-peak signal in Fourier space, which can be used to constrain VDM coupling strengths. This framework is applied to the search for ultralight $B-L$ dark matter, demonstrating the ability to probe regions of the parameter space that were previously inaccessible. The analysis is valid for masses up to $5 \times 10^{-15}$ eV, and the results are independent of the experiment's latitude, providing a more holistic and latitude-independent constraint compared to single-peak analyses.The paper discusses the detection of ultralight vector dark matter (VDM) using terrestrial quantum sensors, particularly optomechanical sensors. The authors derive a signal analysis and statistical framework to infer the properties of VDM by considering the stochastic and vector nature of the underlying field, as well as the effects of Earth's rotation. They highlight a distinctive three-peak signal in Fourier space, which can be used to constrain VDM coupling strengths. This framework is applied to the search for ultralight $B-L$ dark matter, demonstrating the ability to probe regions of the parameter space that were previously inaccessible. The analysis is valid for masses up to $5 \times 10^{-15}$ eV, and the results are independent of the experiment's latitude, providing a more holistic and latitude-independent constraint compared to single-peak analyses.