  The currently used ghost image schemes traditionally involve two-mode
entangled light states or incoherent radiation. Here, application of four-mode
entangled light states is considered. It is shown that multiplexed ghost images
(MGI) formed by four-mode entangled quantum light states have mutual spatial
correlations determined by the 8th order field correlation functions. A special
algorithm to calculate high-order correlations of Bose operators was developed.
We also demonstrate that the accounting of MGI correlations allows us to
improve the quality of the restored image of an object when processing MGI by
measurement reduction method. Computer modelling of recovery of the image from
MGI was carried out. It is established that in the considered example the
signal-to-noise ratio of the reduced ghost image is $4.6$ times higher than the
best signal-to-noise ratio for the ghost images themselves.
