An outline for a modal interpretation in terms of possible worlds is presented. The so-called Schmidt histories are taken to correspond to the physically possible worlds. The decoherence function defined in the histories formulation of quantum theory is taken to prescribe a non-classical probability measure over the set of the possible worlds. This is shown to yield dynamics in the form of transition probabilities for occurrent events in each world. The role of the consistency condition is discussed.

Van Fraassen’s 1991 modal interpretation of Quantum Mechanics offers accounts of measurement and state preparation. I argue that both accounts overlook a class of interactions I call General Unitary Measurements, or GUMs. Ironically, GUMs are significant for van Fraassen’s account of measurement because they challenge it, and significant for his account of preparation because they simplify it. Van Fraassen’s oversight prompts a question about modal interpretations: developed to account for ideal measurement outcomes, can they consistently account as well for the whole horizon of laboratory practices by which we investigate QM?