Linked by Hadrien Grasland on Sun 23rd Jan 2011 17:30 UTC, submitted by fran
Hardware, Embedded Systems "Scientists from Oxford University have made a significant step towards an ultrafast quantum computer by successfully generating 10 billion bits of quantum entanglement in silicon for the first time -- entanglement is the key ingredient that promises to make quantum computers far more powerful than conventional computing devices."
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RE[6]: Niche product?
by GeorgesBraque on Sun 23rd Jan 2011 22:15 UTC in reply to "RE[5]: Niche product?"
GeorgesBraque
Member since:
2005-07-07

It may take O(1) (not really but I will play along) to "solve" a single problem instance after it has been mapped, but you still need to MAP the problem to the quantum solver for each instance. And the mapping process/problem is definitively not O(1), or even P for that matter, in terms of complexity. There are 3-sat solvers for example which compute solutions in P time, as long as the mapping process is ignored.

Which is why I said that the speed of the computer is irrelevant when trying to prove that P=NP.


I think that quantum computing cannot ever apply to proving P=NP or P!=NP because complexity theory is predicated on running programs on deterministic machines. Quantum machines would be non-deterministic.

Also, just for fun, check this out (if you haven't already):

http://science.slashdot.org/story/11/01/21/2047229/Eulers-Partition...

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