This document summarizes research on improving internal combustion engine fuel efficiency through techniques like reactivity controlled compression ignition (RCCI). RCCI is a variant of homogeneous charge compression ignition (HCCI) that provides more control over the combustion process and has the potential to significantly increase fuel efficiency and reduce emissions. The document reviews experiments on RCCI using light-duty and heavy-duty engines operated on various fuels, finding that RCCI can achieve near-zero NOx and soot emissions while improving efficiency. However, challenges to implementing RCCI at a wide range of loads and controlling combustion phasing and emissions remain areas of ongoing research.