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The optical gyroscope, which measures the attitude information of spatial carriers, has emerged as a research hotspot in inertial navigation system. Real-time measurement of rotation angular velocity is crucial for obtaining accurate attitude information. However, the measurement precision of traditional optical gyroscope is limited by the short noise limit (SNL), which restricts its further application. Existing research indicates the need to employ quantum technology to address the measurement limitations of traditional optical gyroscopes. A triaxial rotation angular velocity measurement scheme based on frequency entangled biphoton and cascaded Hong-Ou-Mandel (HOM) interference is proposed. By leveraging the Sagnac effect induced by the rotation between signal and idler photons, the triaxial angular velocity is introduced into the corresponding measurement arm of a cascaded HOM interferometer. A coincidence measurement device is used to obtain the cascaded HOM interferogram, and the relationship between the positions of symmetric dips and the three independent time delay differences is analyzed. The characteristic parameters of HOM interferogram, including a half-height full width (FWHM) of 0.3 ps and visibilities of 1, 0.25 and 0.06, respectively, are obtained. According to quantum Fisher information theory, the maximum quantum Fisher information of the three independent time delay differences （τ1,τ2,τ3） is calculated as 1, 0.1, and 0.006, respectively. Furthermore, by incorporating measurement uncertainty, it is demonstrated that the precision of the time delay measurement can exceed the SNL. Combined with the relationship between time delay and angular velocity, the results show that the angularvelocity measurement precision exceeds that of classical optical gyroscopes. Therefore, this scheme provides a theoretical foundation for the further application of quantum gyroscopes in global navigation sensing and precision measurement systems.
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