The Aharonov–Jones–Landau (AJL) algorithm is a quantum algorithm that is designed for solving certain computational problems that are difficult for classical computers. It was introduced by Dorit Aharonov, Peter W. Jones, and Jacob Landau in 2001. The fundamental purpose of the AJL algorithm is to address the problem of recognizing a particular type of graph called a "projective plane," specifically a finite projective plane of order \( q \).