Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing

Details Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing

2009-12-07

arxiv.org/abs/0912.1162v1

Phys Rev Lett, 104, 093601, 2010

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.104.093601

Quantum parameter estimation has many applications, from gravitational wave detection to quantum key distribution. We present the first experimental demonstration of the time-symmetric technique of quantum smoothing. We consider both adaptive and non-adaptive quantum smoothing, and show that both are better than their well-known time-asymmetric counterparts (quantum filtering). For the problem of estimating a stochastically varying phase shift on a coherent beam, our theory predicts that adaptive quantum smoothing (the best scheme) gives an estimate with a mean-square error up to $2\sqrt{2}$ times smaller than that from non-adaptive quantum filtering (the standard quantum limit). The experimentally measured improvement is $2.24 \pm 0.14$.

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