How small can you go?

computers today are getting smaller and smaller. Now we have developed quantum computers, using elementary particles perform calculations. When do you suppose we will hit a point where we get computers as small as we can get them? How small will they can possibly be?

Is there a possibility we'll have a "phantom" computer, not made of conventional matter, like in Issac Asimov's "The Last Question"

EDIT: I'm sorry, I did not notice the computer section until after I posted this.
 
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It's hard to put a size to this as I guess what we think are the smallest known particles may not be findamental and so may open up a whole new range of possibilities.
 
Of course, if you need an absolute number for this question, it would be the Planck length.
 

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