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Sorry to burst the bubble, but it's not obvious to me whether quantum computers will help at all with training LLMs. Maybe eventually the Grover speedup will help somewhat. Or maybe there are new quantum algorithms yet to be discovered that will help, or old quantum algorithms that will turn out to work really well when we test them at scale on AI problems. Sadly, though, the articles you'll find on "quantum AI" tend to contain ENORMOUS amounts of misrepresentation and hype -- often simply failing to compare to the best classical solutions that are available, and hoping no one will notice that.
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From @Space_Child67: