ABSTRACT We propose a theoretical scheme to enhance the sensitivity of a quantum optomechanical gyroscope (QOMG) by the optical Kerr effect. We utilize quantum Fisher information (QFI) to assess the metrological potential of the QOMG scheme. It is found that the Kerr interaction can significantly enhances the sensitivity of the QOMG. We observe the super‐Heisenberg scaling of parameter estimation precision. Furthermore, we also evaluate the performance of the QOMG for the quadrature measurement. It is indicated that the sensitivity in the quadrature measurement scheme can saturate the quantum Cramér–Rao bound. We study the effect of the driving and dissipation of the optical cavity on the QFI, and find that the sensitivity can be manipulated by changing the driving, while dissipation decreases the sensitivity. The work shows that the photon nonlinear interaction is a valuable quantum resource to improve the sensitivity of the QOMG. These results could have a wide‐ranging impact on developing high‐performance QOMG in the future.
ABSTRACT We propose a theoretical scheme to enhance the sensitivity of a quantum optomechanical gyroscope (QOMG) by the optical Kerr effect. We utilize quantum Fisher information (QFI) to assess the metrological potential of the QOMG scheme. It is found that the Kerr interaction can significantly enhances the sensitivity of the QOMG. We observe the super‐Heisenberg scaling of parameter estimation precision. Furthermore, we also evaluate the performance of the QOMG for the quadrature measurement. It is indicated that the sensitivity in the quadrature measurement scheme can saturate the quantum Cramér–Rao bound. We study the effect of the driving and dissipation of the optical cavity on the QFI, and find that the sensitivity can be manipulated by changing the driving, while dissipation decreases the sensitivity. The work shows that the photon nonlinear interaction is a valuable quantum resource to improve the sensitivity of the QOMG. These results could have a wide‐ranging impact on developing high‐performance QOMG in the future.
ABSTRACT We enhance phase sensitivity in an SU(1,1) interferometer by combining a Kerr nonlinear phase shifter with multi‐photon addition. Using coherent and vacuum states as inputs, we analyze phase sensitivity and the quantum Fisher information under ideal and lossy conditions. We show that both phase sensitivity and the quantum Cramér‐Rao bound (QCRB) improve gradually as the total mean photon number increases. For the standard SU(1,1) interferometer, phase sensitivity does not saturate the QCRB, even with multi‐photon addition. In contrast, for the Kerr‐based SU(1,1) interferometer, phase sensitivity nearly saturates the QCRB under ideal conditions and remains optimal at high transmissivity under loss. The Kerr‐based scheme surpasses the standard quantum limit, approaches the sub‐Heisenberg limit, and exhibits enhanced robustness against moderate losses. Our scheme is feasible with current technology and provides a promising route for high‐precision quantum metrology.
Abstract 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 is proposed. The non‐Gaussian‐state probe utilizes the product state comprising a photon‐added coherent state (PACS) with photon excitations and a coherent state (CS). The sensitivity of the QFOG is studied and it is found that it can be significantly enhanced through increasing the photon excitations in the PACS probe. The influence of photon loss on the performance of QFOG is investigated and it is demonstrated that the PACS probe exhibits robust resistance to photon loss. Furthermore, the performance of the QFOG using the PACS probe against two Gaussian‐state probes: the CS probe and the squeezed state (SS) probe is compared and it is indicated 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 in enhancing the sensitivity and resisting photon loss can have a wide‐ranging impact on future high‐performance QFOGs.
Quantum techniques, developed in recent decades, provide new approaches to achieving high-precision measurements beyond the classical bounds. In this paper, we theoretically demonstrate a metrology method for improving the sensitivity of the interferometric optical gyroscope, robust against the loss, by using coherent-light stimulated two-mode squeezed beams as the light source. The detection protocol is based on a simple intensity measurement, and the quantum noise is far below the shot-noise limit. The enhancement factors for different coherent light fields are analyzed in detail. Additionally, the influence of loss during the propagation in the optical path is studied, and the conditions for achieving sub-shot-noise measurement sensitivity are obtained. We also find that the phase sensitivity of the proposed gyroscope scheme becomes closer to the quantum Cramér-Rao bound with increasing of the photon number of the coherent beams.
Abstract With the rapid development of micro‐nano fabrication technology, micro‐optical gyroscope technology has shown tremendous potential in integration, miniaturization, and sensitivity. The micro‐optical gyroscope is closely related to the performance of the gyroscopic system, which is realized by the light‐matter interaction and resonance enhancement. Currently, the detection range of micro‐optical gyroscopes extends from millimeter‐scale physical mechanical motion to molecular vibrations at the nanometer scale; however, their precision is challenging to surpass the standard quantum limit. The primary research objective of quantum precision measurement is to utilize quantum resources to conduct quantum‐enhanced measurements on physical system quantities, thereby surpassing the quantum limit and improving parameter measurement accuracy. In recent years, due to the rapid development in the field of quantum precision measurement, quantum gyroscope has made great progress in practical and engineering. In the future, by replacing traditional accelerometers and gyroscopes, it may be possible to develop highly integrated, low‐power, and low‐drift quantum inertial navigation systems. Based on the information disclosed by journals, conferences, and related research institutions, this paper briefly outlines the development status, basic principles, and corresponding challenges of the micro‐optical gyroscope. Additionally, this paper introduces the current theoretical and experimental progress of quantum‐enhanced gyroscopes.
We show that strongly amplified dynamical responses in cavity optomechanical systems can be harnessed for enhanced quantum sensing. By tuning the optomechanical interaction to a regime of enhanced susceptibility, weak perturbations produce disproportionately large changes in the system response, leading to substantially improved estimation precision. Using Gaussian estimation theory, we demonstrate that the quantum Fisher information exhibits a divergent scaling as the perturbation strength decreases, implying a corresponding suppression of the estimation error. We further show that heterodyne detection of the output cavity field yields the classical Fisher information with the same asymptotic scaling as the quantum Fisher information, demonstrating that the enhanced sensitivity is accessible with a standard measurement protocol. These results identify amplified optomechanical dynamics as a controllable resource for quantum enhanced sensing and metrology.
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.