Last time, we took a look at Grover’s algorithm in order to present a clear demonstration of the practical benefits of quantum computing in relation to search. In this post we will discuss a more basic algorithm.
The Deutsch–Jozsa algorithm is one of the earliest examples of a quantum algorithm that demonstrates the advantage of quantum computing over classical computing. It was developed by David Deutsch and Richard Jozsa in 1992 and serves as a foundational example of quantum speedup. The algorithm solves a specific type of problem known as the oracle decision problem exponentially faster than any deterministic classical algorithm.
Again, grasping the mathematics of quantum computing often requires going over the symbolism multiple times. Try not to be intimidated if you’re unfamiliar with it; the equations are laid out here for you to review at your leisure.