Heisenberg Limit of Phase Measurements with a Fluctuating Number of Photons

Details Heisenberg Limit of Phase Measurements with a Fluctuating Number of Photons Heisenberg Limit of Phase Measurements with a Fluctuating Number of Photons

2011-05-16

arxiv.org/abs/1105.2990v3

Physics

Quantum Physics

This paper has been withdrawn by the author temporarily

Scientific paper

We investigate the appropriate form of Heisenberg limit in linear Mach-Zehnder interferometer phase measurements with states of a fluctuating photon number $\hat{N}$. We present a specified superposed state with arbitrary high phase sensitivity but with a finite average photon number, and apparently it breaks the proposed Heisenberg limit of phase sensitivity in form $1/<\hat{N}>$, however, saturates the bound $1/<\hat{N}^{2}>^{1/2}$. We indicate that only superposed NOON states can achieve this limit, and our result also shows quantum Fisher information is saturated by a positive operator value measurement (POVM) of linear Mach-Zehnder interferometer phase measurements.

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