In philosophy of mind, the computational theory of mind (CTM), also known as computationalism, is a family of views that hold that the human mind is an information processing system and that cognition and consciousness together are a form of computation.
https://en.wikipedia.org/wiki/Computational_theory_of_mind
What is computation?
The question of when a physical system is computing is fundamentally a question about the relationship of abstract mathematical/logical entities to physical ones A ‘computation’ is a mathematical abstraction described in one of the logical formalisms developed by theoretical computer scientists. A ‘computer’ is a physical system with actual constituent parts and its own internal interactions that take it from one physical state to another. The computer is taken to stand in a certain relation to the computation—if we can formulate this relation, then we can answer our question of when a physical system is performing computation. To act as a computer is always to be performing a specific computation, we therefore need to ask: when is this physical system performing that (not always known) computation, and what is the relation required between the physical system and the abstract computation that this can be determined?
https://royalsocietypublishing.org/doi/10.1098/rspa.2014.0182
If your version of computationalism believes “abstract mathematical/logical entities” are consciousness, then it would be non-physicalist. It would be little different from a soul inhabiting something physical.
On the other hand, if your version of computationalism believes only the physical entities implementing the abstract mathematical entities are consciousness then it is would be physical theory but it would allow any type of matter able to create the correct relationship to be conscious. That would mean likely any form of solid matter, maybe liquids and gases too, could be conscious. In other words, it would be a variant of panpsychism.
