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**times**where the answer will be in a superposition of yes and no, but so far nothing has been said about

**time**so that point is moot. Is it that the yes-no question is being combined with the question "what time is it?" and then

*that*results in a two-dimensional complex Hilbert space? In this case, which mathematical structures represent the "two-state system" and time so we can take their tensor products and get the Hilbert space?

Also, are all the properties of a Hilbert space necessary for the two-state system with time? What is the quantum mechanical interpretation of the addition of two vectors?