The antonyms for the phrase "jots down" can be the words "erase," "delete," "erase," "cross-out," or "eliminate." These words indicate an action of removing a written record of information, unlike "jots down," which means writing information quickly and briefly. Erasing is the complete removal of the written information, while deleting is usually associated with electronic files. Cross-out means marking a line or a series of lines over some written matter. Eliminate means removing something completely. Hence, the antonyms for "jots down" convey the opposite meaning of a brief note-taking process.