Lossy Quantum Optical Metrology with Squeezed States

Abstract

We study the precise phase estimation using squeezed states with photon losses present. Our exact quantum Fisher information calculation shows significant quantum enhancement and thus reveals the benchmark for practical quantum metrology in this noisy scenario. However, we find that the existing parity measurement scheme [P.M. Anisimov et al, Phys. Rev. Lett. 104, 103602 (2010)] behaves worse than even classical cases given very small losses, unless we take an appropriate loss dependent phase shift. Using our formulae, the two optimized aspects including the pre-detection phase shift and the consequent light intensity of a tradeoff strategy for photon resource arrangement can be both calculated. Therefore our result makes it possible to experimentally realize quantum metrology of phase estimation with squeezed states.

Published version

References in corpus (5)

• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• The elusive Heisenberg limit in quantum enhanced metrology
• Optimal Quantum Phase Estimation
• Quantum information with Gaussian states
• Quantum metrology with imperfect states and detectors

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