Quantum Fisher information calculations for nonlinear MZI with Gaussian, squeezed-number, and cat states indicate that shot-noise limits do not apply, with squeezed vacuum optimal.
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Conclusive nonlinear phase sensitivity limit for a Mach-Zehnder interferometer with single-mode non-vacuum inputs
Quantum Fisher information calculations for nonlinear MZI with Gaussian, squeezed-number, and cat states indicate that shot-noise limits do not apply, with squeezed vacuum optimal.