Enhancing the sensitivity of quantum fiber-optical gyroscopes via a non-Gaussian-state probe

We propose a theoretical scheme to enhance the sensitivity of a quantum fiber-optical gyroscope (QFOG) via a non-Gaussian-state probe based on quadrature measurements of the optical field. The non-Gaussian-state probe utilizes the product state comprising a photon-added coherent state (PACS) with photon excitations and a coherent state CS. We study the sensitivity of the QFOG, and find that it can be significantly enhanced through increasing the photon excitations in the PACS probe. We investigate the influence of photon loss on the performance of QFOG and demonstrate that the PACS probe exhibits robust resistance to photon loss. Furthermore, we compare the performance of the QFOG using the PACS probe against two Gaussian-state probes: the CS probe and the squeezed state (SS) probe and indicate that the PACS probe offers a significant advantage in terms of sensitivity, regardless of photon loss, under the constraint condition of the same total number of input photons. Particularly, it is found that the sensitivity of the PACS probe can be three orders of magnitude higher than that of two Gaussian-state probes for certain values of the measured parameter. The capabilities of the non-Gaussian state probe on enhancing the sensitivity and resisting photon loss could have a wide-ranging impact on future high-performance QFOGs.