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What Are the Limits of Conventional Computing?

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Science  01 Jul 2005:
Vol. 309, Issue 5731, pp. 96
DOI: 10.1126/science.309.5731.96

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Summary

Mathematicians have shown that if you could come up with a quick and easy shortcut to solving any one of the hardest type of computational problems, you'd be able to crack them all. But it's uncertain whether such a shortcut exists. Scientists think not, but proving it is one of the great unanswered questions in mathematics.