Optimal lossy quantum interferometry in phase space
arXiv:1705.00065 · doi:10.1088/1367-2630/aa73b0
Abstract
We analyse the phase space representation of the optimal measurement of a phase shift in an interferometer with equal photon loss in both its arms. In the local phase estimation scenario with a fixed number of photons, we identify features of the spin Wigner function that warrant sub-shot noise precision, and discuss their sensitivity to losses. We derive the asymptotic form of an integral kernel describing the process of photon loss in the phase space in the limit of large photon numbers. The analytic form of this kernel allows one to assess the ultimate precision limit for a lossy interferometer. We also provide a general lower bound on the quantum Fisher information in terms of spin Wigner functions.
arXiv comment20 pages, 6 figures, published version
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Cited by in corpus (5)
- Continuous phase-space representations for finite-dimensional quantum states and their tomography
- Sub-Quantum Fisher Information
- Wigner negativity in spin- systems
- Fast computation of spherical phase-space functions of quantum many-body states
- Bounds on detection of Bell correlations with entangled ultra-cold atoms in optical lattices under occupation defects