Quantum boolean functions
APA
Montanaro, A. (2008). Quantum boolean functions. Perimeter Institute. https://pirsa.org/08120019
MLA
Montanaro, Ashley. Quantum boolean functions. Perimeter Institute, Dec. 03, 2008, https://pirsa.org/08120019
BibTex
@misc{ pirsa_PIRSA:08120019, doi = {10.48660/08120019}, url = {https://pirsa.org/08120019}, author = {Montanaro, Ashley}, keywords = {Quantum Information}, language = {en}, title = {Quantum boolean functions}, publisher = {Perimeter Institute}, year = {2008}, month = {dec}, note = {PIRSA:08120019 see, \url{https://pirsa.org}} }
University of Bristol
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Abstract
In recent years, the analysis of boolean functions has arisen as an important theme in theoretical computer science. In this talk I will discuss an extension of the concept of a boolean function to quantum computation. It turns out that many important classical results in the theory of boolean functions have natural quantum analogues. These include property testing of boolean functions; the Goldreich-Levin algorithm for approximately learning boolean functions; and a theorem of Friedgut, Kalai and Naor on the Fourier spectra of boolean functions. The quantum generalisation of this theorem uses a quantum extension of the hypercontractive inequality of Bonami, Gross and Beckner. This talk is based on joint work with Tobias Osborne.