You cannot be both a federal AND a Quebec applicant.
The Quebec government and the Government of Canada have an agreement that allows Quebec to select immigrants who best meet its immigration needs. Under the Canada-Quebec Accord on Immigration, Quebec is able to establish its own immigration requirements and select immigrants who will adapt well to living in Quebec.
To come to Canada as a Quebec applicant, you must first apply to the Quebec government for a Certificat de selection du Québec. For details, please contact the Quebec government directly http://www.immigration-quebec.gouv.qc.ca
Thank you.
Immigration Section
Consulate General of Canada, Hong Kong
12/F., Tower 1
Exchange Square
8 Connaught Place
Hong Kong