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Intramode correlations enhanced phase sensitivities in an SU(1,1) interferometer
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abstract
We theoretically derive the lower and upper bounds of quantum Fisher information (QFI) of an SU(1,1) interferometer whatever the input state chosen. According to the QFI, the crucial resource for quantum enhancement is shown to be large intramode correlations indicated by the Mandel $Q$-parameter. For a photon-subtracted squeezed vacuum state with high super-Poissonian statistics in one input port and a coherent state in the other input port, the quantum Cram\'{e}r-Rao bound of the SU(1,1) interferometer can beat $1/\langle\hat{N}\rangle$ scaling in presence of large fluctuations in the number of photons, with a given fixed input mean number of photons. The definition of the Heisenberg limit (HL) should take into account the amount of fluctuations. The HL considering the number fluctuation effect may be the ultimate phase limit.
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Cited by 1 Pith paper
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Heralded Non-Gaussian Squeezed-State Inputs for Parity-Detection SU(1,1) Interferometry
Under fixed conditional-probe energy and fixed gain, optimized success-weighted photon subtraction, addition, and catalysis all give less Fisher information than the optimized Gaussian input in an SU(1,1) interferometer.
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