Yeeeesssss.... but the kind of problem where this is crucial will be waaaaaay beyond your knowledge about physics.
It is the time ordering (operator) problem in quantum field theory:
http://en.wikipedia.org/wiki/Time_ordering
And then there is also a school of "quantum logic", which looks at the logical (as in "non-standard predicate logic") relationship between discrete causal events after collapse of the wave function at different times t in naive quantum systems (naive as in Schroedinger QM rather than QFT).
Very interesting stuff... but pretty useless for anything in the real world of physics, maybe let alone quantum computing which I would naively say is the latest incarnation of the search for the philosopher's stone and will end like all the previous ones.
Having said that... one can not do physics by "equation simplification". I don't know who taught you such a nonsense or, more likely, who did not teach you what physics is. I have to assume that your assumption that you know zero about physics is therefor correct.
Even in theoretical physics, for a given problem (and I am not talking about first semester classroom problems here but the kind of stuff real theoretical physicists do) there is no pre-made equation that you "just" have to solve. The first problem is always to FIND an equation that describes the system under consideration sufficiently! Sufficiently in this context means the theorist has to have a very good grasp of experimental results and theoretical knowledge of the problem. Equation solving can be automated. That's what Mathematica or Maple do. Theoretical physics can't.
And experimental physics is more about welding, drilling and bolting, anyway, than it is about solving equations. And I mean that literally and figuratively. Even the math used by experimentalists is usually very different from that used by theorists. And, yet, we need them both.
Good luck with the time ordering problem!