Equal-cost conjecture for truth and falsity of experimental quantum propositions

Let $P$ be an experimental atomic proposition referring to a quantum system in a pure state. Let the cost of a computation be the time required to solve the relevant computational problem, with each primitive operation taking a fixed amount of time. Equal-cost conjecture. For any such proposition, the cost of computing its truth value does not depend on whether the proposition is true or false. This conjecture concerns whether computational costs can respect the symmetry between truth and falsity in experimental quantum propositions; the supplied text does not state whether it has been proved or disproved.