Exclusive dijet studies at the LHC and the eA science program*

In this talk, we will discuss the impact of recent measurements of exclusive dijet production at LHC for the eA science program at the EIC. In particular, we will discuss the observation of the angular decorrelation of exclusive dijets in ultra-peripheral PbPb collisions measured with the CMS detector. Special attention will be given to the various physics interpretations and how this process is relevant for studies of nuclear gluon densiy, and quantum entanglement. We will also discuss the prospects of color transparency measurements using hard exclusive dijets at the LHC and the synergies with the EIC physics program.