  Recent work has exposed the idea that interesting quantum-like probability
laws, including interference effects, can be manifest in classical systems.
Here we propose a model for quantum-like (QL) states and QL bits. We suggest a
way that huge, complex systems can host robust states that can process
information in a QL fashion. Axioms that such states should satisfy are
proposed. Specifically, it is shown that building blocks suited for QL states
are networks, possibly very complex, that we defined based on $k$-regular
random graphs. These networks can dynamically encode a lot of information that
is distilled into the emergent states we can use for QL like processing.
Although the emergent states are classical, they have properties analogous to
quantum states. Concrete examples of how QL functions are possible are given.
The possibility of a `QL advantage' for computing-type operations and the
potential relevance for new kinds of function in the brain are discussed and
left as open questions.
