Blyton,
If you are on H1b than you can apply though the new Alberta pilot program.  No points required and this process is lot faster than Point system. 

To qualify for this pilot program, you must meet the following basic criteria:

1. You must be currently working in the United States in one of the following temporary skilled worker visa categories: H-1B, H1-B1, H-1C, E-3
    
2. You must have a minimum of one year of work experience in the United States in one of the qualifying visa categories listed above.
    
3. Your current occupation must be on the AINP Occupations Under Pressure List for the Strategic Recruitment Stream - U.S. Visa Holder Category.

Check this web and see if you qualify.

http://www.albertacanada.com/immigration/campaigns/h1b.html