To give all Children for particular Parent:
https://api.quickblox.com/data/Child?_parent_id=<your_Parent_class_instance_id>
To give all 'Parents' ids associated with a "Childs" where every "Child" instances have a given "myKey":
https://api.quickblox.com/data/Child?myKey=<some_value>
then each Child has _parent_id field