To me it just sounds like gibberish. A slipstream is a wake of rapidly moving fluid pulled along behind a fast-moving object in a fluid. Slipstreaming as a form of travel refers to following in the wake of such an object to take advantage of that speed boost and reduce the work you need to do to travel. So what is a ship in quantum slipstream drive following behind? And what does the "quantum" part mean? There's a tendency in fiction to stick "quantum" onto everything to make it sound mysterious and advanced, but it's a term that has a specific meaning that usually applies on a microscopic scale rather than a macroscopic one. Okay, maybe it's based in quantum gravity, the elusive unification of relativity and quantum physics, but I doubt the showrunners thought it through that carefully.
(And Gene Roddenberry's Andromeda's use of the term "slipstream drive" doesn't make any more sense, since that was based on riding cosmic-string connections between massive particle ensembles.)
Because it also happens to be one of those technobabble terms that's simply fun to say. I think you're taking the term a little too seriously.
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