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It's really quite simple [8D] Most computers operate on binary bits which are supposed to be in one of two possible states. Quantum computers operate on Q-bits which are in all possible states at the same time. If you have a large range of possible input values, a conventional computer has to laboriously input each possible value in series. A quantum computer inputs them all simultaneously which is obviously a useful time saving technique, if you can actually get it all to work!
I am no expert on this, but I thought most experts in the field do think it highly advantageous - perhaps as you might expect given that they are working on it :-)A good summary with lots of references is:http://www.doc.ic.ac.uk/~nd/surprise_97/journal/vol4/spb3/#1.1%20Quantum%20computer%20basics