Quantum boolean functions

Details Quantum boolean functions Quantum boolean functions

2008-10-14

arxiv.org/abs/0810.2435v5

Chicago Journal of Theoretical Computer Science vol. 2010 no. 1 (2010)

Physics

Quantum Physics

47 pages; v5: fixes previously corrupt file

Scientific paper

In this paper we introduce the study of quantum boolean functions, which are unitary operators f whose square is the identity: f^2 = I. We describe several generalisations of well-known results in the theory of boolean functions, including quantum property testing; a quantum version of the Goldreich-Levin algorithm for finding the large Fourier coefficients of boolean functions; and two quantum versions of a theorem of Friedgut, Kalai and Naor on the Fourier spectra of boolean functions. In order to obtain one of these generalisations, we prove a quantum extension of the hypercontractive inequality of Bonami, Gross and Beckner.

Affiliated with

Also associated with

No associations

Rating

Quantum boolean functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum boolean functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum boolean functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591313