I wouldn't say information is matter. Information is the asking of a yes/no question and registering an answer. When we ask these questions about the world we observe with our senses, matter emerges. In Swarm Theoretical terms, matter emerges from the fundamental, nested, and hierarchical information processing dynamic. When we ask whether a table is there, we touch it and our answer is "yes." But then when we look with more precise instrumentation, we see that the table is mostly empty space and our hand never touches anything. The feeling of touch is the result of electron repulsion. The table becomes a swarm of atoms all interacting with one another, sharing electrons, asking each other questions and propagating the results. Look into the particles that make the atoms and those particles disappear leaving only "wave functions" which seem to be a swarm of their own. The multiple worlds theory contends that they are a cross-dimensional swarm of that particle.