First a couple of definitions.
Track or trace? It depends, it means different things. From basic dictionary definitions, I paraphrase the following meanings:
to trace: follow the completed path backwards from its current point to where it began.
to track: follow the emerging path forwards from your starting point to wherever the thing currently is.
What is contact tracing in the context of epidemic outbreaks? According to WHO definition it is a “monitoring process” consisting of “3 basic steps”: Contact identification, contact listing and contact follow-up.
The full definition can be found here.