canada
Provinces and provincial courts play a significant role in the administration of criminal law
In Canada, criminal law is federal only in the sense that it is the federal Parliament that has the exclusive jurisdiction to legislate in relation to criminal law, including procedure (s. 91(27) of the Constitution Act, 1867).
That does not mean that prosecutions happen "federally" or in "federal" jurisdiction.
To the contrary, the constitution has assigned to the provinces:
The Administration of Justice in the Province, including the Constitution, Maintenance, and Organization of Provincial Courts, both of Civil and of Criminal Jurisdiction, and including Procedure in Civil Matters in those Courts.
And the federal Criminal Code dictates that prosecutions generally happen at the direction of provincial prosecutors (Criminal Code, ss. 2 (definition of Attorney General) and 2.3). These prosecutions happen in provincial courts of criminal jurisdiction (with provincially appointed judges) in each province, as well as in the superior courts of each province (with federally appointed judges).
The principles of stare decisis operate normally in criminal law in Quebec
The Supreme Court of Canada has confirmed that the adjudication of criminal matters is not some sort of "federal" jurisdiction of the courts. The force of stare decisis from a superior court of one province (including Quebec) operates only within that province — courts of one province are not bound by decisions of courts of another province (R. v. Sullivan, 2022 SCC 19). The Supreme Court of Canada also recognized that this could result in non-uniform treatment of the criminal law between provinces until an appeal to the Supreme Court of Canada resolves the differences (ibid.).
Summary: Quebec is like all other provinces with respect to criminal law
In Quebec, as in every province or territory, criminal prosecutions are prosecutions of federally-defined criminal offences, following federally defined procedure, with holdings only binding within the province. Quebec is also no different than any other province in that the judgments of its courts and the superior courts within Quebec are ultimately reviewable by the Supreme Court of Canada. When the Supreme Court of Canada makes judgments about criminal law, this binds courts in Quebec and the country through the ordinary principle of vertical stare decisis. This unified nature of Canada's superior courts ensures national unity and the rule of law.
Another bit of context is that Quebec generally follows common law principles in the domain of public law (which includes criminal law) anyway.