We propose an experiment to search for axions and axionlike particles in the galactic halo using quantum-enhanced interferometry. This proposal is related to the previously reported ideas [W. DeRocco and A. Hook, Phys. Rev. D 98, 035021 (2018), 10.1103/PhysRevD.98.035021; I. Obata, T. Fujita, and Y. Michimura, Phys. Rev. Lett. 121, 161301 (2018), 10.1103/PhysRevLett.121.161301; H. Liu, B. D. Elwood, M. Evans, and J. Thaler, Phys. Rev. D 100, 023548 (2019), 10.1103/PhysRevD.100.023548] but searches for axions in the mass range from 10-16 eV up to 10-8 eV using two coupled optical cavities. We also show how to apply squeezed states of light to enhance the sensitivity of the experiment similar to the gravitational-wave detectors. The proposed experiment has a potential to be further scaled up to a multi-km long detector. We show that such an instrument has a potential to set constrains of the axion-photon coupling coefficient of ∼10-18 GeV-1 for axion masses of 10-16 eV or detect the signal.