The antonyms for the phrase "bringing into existence" would be to terminate, end, destroy, or erase. These words carry a negative connotation as they describe actions that would result in something coming to an abrupt halt. Terminating something means to bring an end to it, while ending would be to cease something. Destruction is to harm or damage something beyond repair, while erasing would be to remove evidence of something's existence. The antonyms for "bringing into existence" speak to the opposite effect - to put an end to something rather than creating or initiating it.