1 Introduction Quantum metrology leverages quantum resources, such as entanglement and squeezing, to surpass the precision limits inherent in classical measurement techniques.[1-7] Within this framework, accurate phase estimation is pivotal, as many physical observables can be mapped into phase shifts. For instance, applications such as gravitational wave detection,[8-10] high-resolution lithography[11-13] and quantum imaging[14-16] depend critically on the detection of subtle phase variations.
