The Information Interpretation is simply the "standard orthodox" Copenhagen Interpretation plusinformation and minus the conscious observer.
We interpret the wave function ψ as a "possibilities" function,
each "possibility" has a probability, and measurements are "actualities."
Information physics is standard quantum physics. It accepts the principle of superposition, the equation of motion, the axiom of measurement, and the projection postulate of standard quantum mechanics. But a conscious observer is not required for the wave-function to "collapse", for one of the possibilities to become an actuality. This only requires an interaction that creates irreversible information with another system, e.g., a measurement apparatus.
The "possibilities function" ψ lets us calculate the probability for each "possibility."
The probability will depend on the free choice of the experimenter as to which "observables" to look for/ This depends on the measurement apparatus design. For example, if the measurement apparatus can register n discrete eigenvalues, ψ can be expanded in terms of a set of neigenfunctions appropriate for the chosen observable, say φn.
The expansion is then
ψ = ∑ cn φn,
and we say the system is in a "superposition" of these n states.
When the absolute squares of the coefficients cn are appropriately normalized to add up to 1, the probability Pn of observing value n is