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Quantum lower bounds by quantum arguments

  • University of California at Berkeley

Research output: Chapter in Book/Report/Conference proceedingConference paperResearchpeer-review

80 Citations (Scopus)

Abstract

We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input we use a quantum adversary that runs the input with a superposition of inputs. Using this method, we prove two new Ω(√N) lower bounds on AND of ORs and inverting a permutation and also provide more uniform proofs for some known lower bounds which have been previously proven via variety of different techniques.

Original languageEnglish
Title of host publicationProceedings of the 32nd Annual ACM Symposium on Theory of Computing, STOC 2000
Pages636-643
Number of pages8
DOIs
Publication statusPublished - 2000
Externally publishedYes
Event32nd Annual ACM Symposium on Theory of Computing, STOC 2000 - Portland, OR, United States
Duration: 21 May 200023 May 2000

Publication series

NameProceedings of the Annual ACM Symposium on Theory of Computing
ISSN (Print)0737-8017

Conference

Conference32nd Annual ACM Symposium on Theory of Computing, STOC 2000
Country/TerritoryUnited States
CityPortland, OR
Period21/05/0023/05/00

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