Comparison of quantum oracles

A comparison of the query complexity analysis of quantum algorithms was presented. Two different ways of representing a permutation in terms of a black box quantum oracle were provided. A simple promise problem that minimal quantum oracles could solve faster that the classical oracles was discussed....

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Bibliographic Details
Main Authors: Kashefi, E, Kent, A, Vedral, V, Banaszek, K
Format: Journal article
Language:English
Published: 2002
Description
Summary:A comparison of the query complexity analysis of quantum algorithms was presented. Two different ways of representing a permutation in terms of a black box quantum oracle were provided. A simple promise problem that minimal quantum oracles could solve faster that the classical oracles was discussed. Results showed that the possibility of efficiently solving nonautomorphic graph isomorphism (NAGI) could be excluded by simulating a simpler oracle using standard oracle for a one-to-one function.