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After propagating through a random amplifying medium, a squeezed statecommonly shows excess noise above the shot-noise level. Since large noise cansignificantly reduce the signal-to-noise ratio, it is detrimental for precisionmeasurement. To circumvent this problem, we propose a noise-reduction schemeusing wavefront shaping. It is demonstrated that the average output quantumnoise can be effectively suppressed even beyond the shot-noise limit. Both thedecrease on amplification strength and the increase on input squeezing strengthcan give rise to a decrease in the suppressed average quantum noise. Ourresults not only show the feasibility of manipulating the output quantum noiseof random amplifying media, but also indicate potential applications in quantuminformation processing in complex environments, such as, quantum imaging,quantum communication, and quantum key distribution.

Excess-noise suppression for a squeezed state propagating through random amplifying media via wave-front shaping