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Noise mitigation in quantum enhanced fiber optic gyroscopes

Stefan Evans, Joanna Ptasinski

Abstract

We analyze noise in a quantum-enhanced fiber optic gyroscope (FOG), focusing on one of the leading sources of phase uncertainty - uncorrelated photon saturation. Taking a squeezed state input as a source for N00N states, we compute the uncorrelated false coincidence counts at the optimal phase bias, and determine an upper limit to the squeezed amplitude $ξ$ which allows for sub-shot noise precision. As examples, we apply parameters of present-day quantum FOG experiments, and determine the maximum possible precision enhancement based on their respective $ξ$ and optimal phase bias points. Aiming to future FOG setups with higher N00N state fluxes, our result highlights the need to transition to multimode states to bypass the $ξ$ limitation, such as photon pairs generated by the dynamical Casimir effect.

Noise mitigation in quantum enhanced fiber optic gyroscopes

Abstract

We analyze noise in a quantum-enhanced fiber optic gyroscope (FOG), focusing on one of the leading sources of phase uncertainty - uncorrelated photon saturation. Taking a squeezed state input as a source for N00N states, we compute the uncorrelated false coincidence counts at the optimal phase bias, and determine an upper limit to the squeezed amplitude which allows for sub-shot noise precision. As examples, we apply parameters of present-day quantum FOG experiments, and determine the maximum possible precision enhancement based on their respective and optimal phase bias points. Aiming to future FOG setups with higher N00N state fluxes, our result highlights the need to transition to multimode states to bypass the limitation, such as photon pairs generated by the dynamical Casimir effect.

Paper Structure

This paper contains 12 sections, 26 equations, 4 figures.

Table of Contents

  1. Introduction
  2. Sub shot noise resolution
  3. Uncorrelated photon noise
  4. Phase uncertainty
  5. Squeezed state input
  6. Experimental implications
  7. Conclusion
  8. Coherent state input
  9. Higher N00N state orders
  10. Additional noise effects
  11. Dispersion
  12. Pump laser and SPDC source instabilities

Figures (4)

  • Figure 1: Plot of phase uncertainty from Eq. (\ref{['CCerrorPhase']}) over shot noise Eq. (\ref{['SNlimit']}), as a function of Sagnac-Laue and bias phase. For each squeezed amplitude shown, the detection timing window $\tau_{\rm detector}=100{\rm ps}$, transmission $T=0.1$ and count collection time $t_{\rm meas}=1000$ sec.
  • Figure 2: Plot of spurious count phase uncertainty $\Delta\phi_{cc}$ over the shot noise as a function of squeezed amplitude. The detection time window $\tau_{\rm detector}=100{\rm ps}$ in each plot.
  • Figure 3: Plot of spurious count phase uncertainty $\Delta\phi_{cc}$ over the shot noise as a function of coherent amplitude. As in Fig. \ref{['xiLimit']}, the detection time window $\tau_{\rm detector}=100{\rm ps}$ in each case.
  • Figure 4: Plot of $N=4$ (top) and $N=5$ (bottom) N00N state spurious count phase uncertainty $\Delta\phi_{cc}$ over the shot noise vs. coherent amplitude. Different fixed squeezed state amplitudes are plotted, and in each case $\tau_{\rm detector}=100{\rm ps}$, $T=0.3$ and $t_{\rm meas}=1000$. Dashed horizontal lines mark the boundaries of the sub shot noise regime (1, $1/\sqrt N$).