Can you specify further

Some small scale implementations of currently known algorithms could be interesting. They implemented Shor's factorization algorithm for factoring 15 to 3 and 5.

I think this is the article of implementation: http://www.nature.com/nature/journal/v414/n6866/abs/414883a.html

This is the list of all known quantum algorithms:

http://math.nist.gov/quantum/zoo/

I am working with quantum probabilistic graphical models for cognition.

I am following the work of this researcher:

http://mypage.iu.edu/~jbusemey/quantum/Quantum%20Cognition%20Notes.htm

A Possible topic "Cryptography and Issues of Network Security in Quantum Computing for Windows OS"

Another possible topic: "Challenges in implementing practical systems for quantum computing, cryprography and distribution of quantum keys". See the following article for QKD: DOI: 10.1109/ICTON.2013.6602941