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Scott Aaronson Associate Professor, EECS Quantum Computers and Beyond

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Moores Law

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Extrapolating: Robot uprising?

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But even a killer robot would still be merely a Turing machine, operating on principles laid down in the 1930s… =

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Is there any feasible way to solve these problems, consistent with the laws of physics? And its conjectured that thousands of interesting problems are inherently intractable for Turing machines…

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Relativity Computer DONE

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Zenos Computer STEP 1 STEP 2 STEP 3 STEP 4 STEP 5 Time (seconds)

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Time Travel Computer S. Aaronson and J. Watrous. Closed Timelike Curves Make Quantum and Classical Computing Equivalent, Proceedings of the Royal Society A 465:631-647, 2009. arXiv:0808.2669.

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What weve learned from quantum computers so far: 15 = 3 × 5 (with high probability)

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Linear-Optical Quantum Computing www.scottaaronson.com/papers/optics.pdf My student Alex Arkhipov and I recently proposed an experiment, which involves generating n identical photons, passing them through a network of beamsplitters, then measuring where they end up Our proposal almost certainly wouldnt yield a universal quantum computerand indeed, it seems a lot easier to implement Nevertheless, we give complexity-theoretic evidence that our experiment would solve some sampling problem thats classically intractable Groups in Brisbane, Australia and Imperial College London are currently working to implement our experiment

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Summary 1.From a theoretical standpoint, modern computers are all the same slop: polynomial- time Turing machines 2.We can imagine computers that vastly exceed those (by using closed timelike curves, etc.) 3.But going even a tiny bit beyond polynomial-time Turing machines (say, with linear-optical quantum computers) is a great experimental challenge

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The Computational Complexity of Linear Optics Scott Aaronson (MIT) Joint work with Alex Arkhipov vs.

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