Forrelation: A Problem That Optimally Separates Quantum from Classical Computing

We achieve essentially the largest possible separation between quantum and classical query complexities. We do so using a property-testing problem called Forrelation, where one needs to decide whether one Boolean function is highly correlated with the Fourier transform of a second function. This pro...

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Bibliographic Details
Main Authors: Aaronson, Scott, Ambainis, Andris
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Association for Computing Machinery (ACM) 2015
Online Access:http://hdl.handle.net/1721.1/99662
https://orcid.org/0000-0003-1333-4045