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arXiv:0910.3376quant-ph

Quantum Proofs for Classical Theorems

Andrew Drucker, Ronald de Wolf

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Abstract

Alongside the development of quantum algorithms and quantum complexity theory in recent years, quantum techniques have also proved instrumental in obtaining results in classical (non-quantum) areas. In this paper we survey these results and the quantum toolbox they use.

arXiv comments
50 pages LaTeX. Updated based on journal version; the journal version is open-access and has nicer typesetting (http://theoryofcomputing.org/articles/gs002/)
Journal reference
Theory of Computing, Graduate surveys 2, 2011
DOI
Subjects
quant-phQuantum Physics cs.CCComputational Complexity

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    • It's not obvious why you'd want to talk about complex amplitudes, whose squared absolute values are probabilities, outside the context of quantum mechanics. Maybe a better way to say it is: once you're talking about such amplitudes, essentially by definition you ARE talking…

      ScottAaronsonView on HNParent context

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