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arXiv:1607.00755 · Physical Review A

Nonlinear fiber gyroscope for quantum metrology

Alfredo Luis, Irene Morales, ́Angel Rivas

Published Jul 18, 2016• 9 citations
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Abstract

We examine the performance of a nonlinear fiber gyroscope for improved signal detection beating the quantum limits of its linear counterparts. The performance is examined when the nonlinear gyroscope is illuminated by practical field states, such as coherent and quadrature squeezed states. This is compared with the case of more ideal probes such as photon-number states.

DOI
10.1103/physreva.94.013830

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We examine the performance of a nonlinear fiber gyroscope for improved signal detection beating the quantum limits of its linear counterparts. The performance is examined when the nonlinear gyroscope is illuminated by practical field states, such as coherent and quadrature squeezed states. This is compared with the case of more ideal probes such as photon-number states.
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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.
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We study the performance of linear and nonlinear optical schemes for the detection of weak signals for two classes of probe states. These are quadrature coherent squeezed states and the minimum uncertainty states of the generator of the transformation and the measured observable. Both for linear and nonlinear schemes we show that the generator-measurement minimum uncertainty states are far from being optimum, while the quadrature coherent squeezed states can reach maximum accuracy almost for the same amount of squeezing in both cases. The analysis is largely based on a suitable approximation treating the photon number as a continuous variable.