Quantum Algorithm: Implementing Shor's & Finding Simpler Algorithms

[Atomos]

For a computer science project I am creating a simulation of quantum computer memory structure and operations and implementing Shor's algorithm for number factorization. I have been readings its steps and sort of get it but I want to see a simpler quantum algorithm in action to solidify my understanding.

Does anyone know of any simpler algorithms to assimilate?

I did not post this in the computers section because it is not specific to any sort of computer programming language or memory architecture; it seems to be more of a pure math question.

 

[duki]

I've read stuff on Grover’s Algorithm...

 

[Galileo]

Look for the Deutsch-Josza problem and Simon's problem. These are fun and great introductory quantum algorithm problems.

Also check out John Preskill's notes:
http://www.theory.caltech.edu/~preskill/ph219/index.html#lecture
They handle the algorithms as well, but are a great read besides that.