Multimode Fock states with large photon number: effective descriptions and applications in quantum metrology
arXiv:1910.03323 · doi:10.1088/2058-9565/ab6ce5
Abstract
We develop general tools to characterise and efficiently compute relevant observables of multimode -photon states generated in non-linear decays in one-dimensional waveguides. We then consider optical interferometry in a Mach-Zender interferometer where a -mode photonic state enters in each arm of the interferometer. We derive a simple expression for the Quantum Fisher Information in terms of the average photon number in each mode, and show that it can be saturated by number-resolved photon measurements that do not distinguish between the different modes.
18 pages, 11 figures. V2: Minor changes
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