After multiple scattering of quadrature-squeezed light in a disordered medium, the quadrature amplitudes of the scattered modes present excess noise above the shot-noise level [Opt. Express 14, 6919 (2006) [CrossRef] ]. A natural question is raised as to whether there exists a method of suppressing the quadrature fluctuation of the output mode. The answer is affirmative. In this work, we prove that wavefront shaping is a promising method to reduce the averaged quantum noise of quadrature amplitudes of the scattered modes. This reduction is owing to the destructive interference of quantum noise. Specifically, when the single-mode squeezed states are considered as inputs, the averaged quantum fluctuation can always be reduced, even below the shot-noise level. These results may have potential applications in quantum information processing, e.g., sub-wavelength imaging using the scattering superlens with squeezed-state sources.
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