You should ask such a question to your immigration lawyer.
When should I start fulfilling the tax liabilities if I become a permanent residency of Canada through the QIIP?
I am planning to apply for the Quebec Immigrant Investor Program (QIIP). When my application gets approved, will I immediately become liable to fulfill the tax liabilities of Canada? How does the tax system work for investment immigrants?
The tax system in Canada is based on if you are a tax resident or not. It does not matter what is your immigration status. Links to Canada are usually what they look at.