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.
Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection
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abstract
We theoretically investigate the phase sensitivity with parity detection on an SU(1,1) interferometer with a coherent state combined with a squeezed vacuum state. This interferometer is formed with two parametric amplifiers for beam splitting and recombination instead of beam splitters. We show that the sensitivity of estimation phase approaches Heisenberg limit and give the corresponding optimal condition. Moreover, we derive the quantum Cram\'er-Rao bound of the SU(1,1) interferometer.
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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.