Please be more specific. What sort of quantum computation do you have in mind? One of my teams here at the Department of Physics, The University of Jordan, has been engaged for the past few years with Worm Algorithm Path-Integral Monte Carlo calculations. We will be glad to help if you tell us exactly your needs, Salam.
You may start your search with your own institution (King Saud University), KACST and KAUST. At least you will have real chance to talk to some people in person. It is not that easy to attract attention of "big" Professors: you may be frustrated.
As mentioned above by both Dinesh Kumar and Humam B. Ghassib, you need to be more specific. Quantum computation is already a large field, and there are indeed many experts active on the topic who are also in Research Gate.
MIchael Siomau's advice is well placed also. I don't know of any quantum computing people at KSU, but I do have a colleague at King Abdulaziz City for Science and Technology - Zbigniew Ficek. He may be a good person to contact.
If you need to get started, however, I would strongly recommend that you read Nielsen and Chuang's text book - although it is starting to get old now, it was incredibly prescient.
Well sorry for delayed answer , My Question was regarding the speedup with respect to entanglement ! , Have we realized this phenomenon as of now ?
Micheal siomau , I really appreciate your concern , I will try to reach out people in person too but for me i seek research gate as a platform for interaction and reachout well know personalities in this very field because as its said learn it but learn it from those who have learnt it better . Since the Quantum world is weird as people say it . Hard to understand so thats why getting my hands up and asking for help where ever i can to learn .
I know you from other dialogs. What do you mean exactly by "speedup with respect to entanglement"?
The speed of entanglement is a very up to date area. As I know till now nobody can explain it. The world famous expert in entanglement is Prof. ZEILINGER at University of Vienna - even he can't explain that speed - it shows only the future dimension of QM (Quantum Mechanics). If you want you can take it as research area and will have to do a lot in your future.....