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TR11-043 | 25th March 2011 08:45
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#### A Linear-Optical Proof that the Permanent is #P-Hard

**Abstract:**
One of the crown jewels of complexity theory is Valiant's 1979 theorem that computing the permanent of an n*n matrix is #P-hard. Here we show that, by using the model of linear-optical quantum computing---and in particular, a universality theorem due to Knill, Laflamme, and Milburn---one can give a different and arguably more intuitive proof of this theorem.