Analysis of generalized Grover quantum search algorithms using recursion equations

Eli Biham, Ofer Biham, David Biron, Markus Grassl, Daniel A. Lidar, Daniel Shapira

Research output: Contribution to journalArticlepeer-review

65 Scopus citations

Abstract

The time evolution of the amplitudes in most algorithms, using an arbitrary unitary transformation and phase rotations on an arbitrary complex initial amplitude distribution was analyzed. Using first-order linear difference equations an exact solution for the time evolution of the amplitudes under the most general conditions was obtained.

Original languageAmerican English
Pages (from-to)12310-12311
Number of pages2
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume63
Issue number1
DOIs
StatePublished - Jan 2001

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