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arxiv: quant-ph/0412143 · v2 · submitted 2004-12-20 · 🪐 quant-ph · cs.CC

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Limits on Efficient Computation in the Physical World

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classification 🪐 quant-ph cs.CC
keywords intuitionsphysicalworldbasicbehavechallengeclassicalcomplexity
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More than a speculative technology, quantum computing seems to challenge our most basic intuitions about how the physical world should behave. In this thesis I show that, while some intuitions from classical computer science must be jettisoned in the light of modern physics, many others emerge nearly unscathed; and I use powerful tools from computational complexity theory to help determine which are which.

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  1. Probing the Planck scale with quantum computation

    quant-ph 2026-04 unverdicted novelty 4.0

    A 500-logical-qubit quantum computer could reject laboratory-confined theories by surpassing the Planck-scale operation rate of 2^491 m^{-3} s^{-1}, with a 1600-qubit machine limited by the observable universe.