Noise minimum states and the squeezing and antibunching of light

The purpose of this paper is to investigate intrinsic restrictions of quantum mechanics put on the correlation function $g^{\mathrm{}\left(2\right)\mathrm{}}$ by values of lower-order moments, which characterize noise in interferometric measurements. Some general consequences regarding the relation between antibunching and squeezing are obtained. The class of fields with the minimum value of $g^{\mathrm{}\left(2\right)\mathrm{}}$ for given noise is specified and the relation of such states to the Kerr medium is emphasized. The concept of noise minimum states can replace number-phase minimum uncertainty states.