  The scheme of optical imaging using scattering lens can provide a resolution
beyond the classical optical diffraction limit with a coherent-state input.
Nevertheless, due to the shot noise of the coherent state, the corresponding
signal-to-noise ratio and resolution are both still shot-noise-limited. In
order to circumvent this problem, we theoretically propose an alternative
scheme where the squeezed state (with a sub-shot noise) is considered as input
and the quantum noise is then suppressed below the shot-noise level.
Consequently, when comparing with the previous imaging scheme (using
combination of coherent state and scattering lens), our proposal is able to
achieve an enhanced signal-to-noise ratio for a given scattering lens.
Meanwhile, it is demonstrated that the resolution is also improved. We believe
that this method may afford a new way of using squeezed states and enable a
higher performance than that of using coherent state and scattering lens.
