Quantum phase estimation with lossy interferometers

Details Quantum phase estimation with lossy interferometers Quantum phase estimation with lossy interferometers

2009-04-02

arxiv.org/abs/0904.0456v2

Phys. Rev. A 80, 013825 (2009)

Physics

Quantum Physics

12 pages, 5 figures

Scientific paper

10.1103/PhysRevA.80.013825

We give a detailed discussion of optimal quantum states for optical two-mode interferometry in the presence of photon losses. We derive analytical formulae for the precision of phase estimation obtainable using quantum states of light with a definite photon number and prove that maximization of the precision is a convex optimization problem. The corresponding optimal precision, i.e. the lowest possible uncertainty, is shown to beat the standard quantum limit thus outperforming classical interferometry. Furthermore, we discuss more general inputs: states with indefinite photon number and states with photons distributed between distinguishable time bins. We prove that neither of these is helpful in improving phase estimation precision.

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