A spokesman for Quebec's director of criminal and penal prosecutions, Jean-Pascal Boucher, says the analysis of the 18-page judgment from Superior Court Justice André Vincent on Sept. 12 has provided grounds for requesting a review of the decision.
Boucher would not specify what the chief Crown prosecutor will present to support that claim, saying those arguments will be reserved for the Court of Appeal.
The former cardiologist was released one week ago, a week after the judge decided he did not pose a risk to society.
At Turcotte's first trial in 2011, a jury found him not criminally responsible in the deaths of Olivier, 5, and Anne-Sophie, 3, due to a mental disorder.
In September 2013, the Crown appealed the decision, asking for it to be annulled and for a new trial to be ordered.
The prosecutor argued that the judge in the first trial should not have given the jury the option of finding Turcotte not criminally responsible.
The Quebec Court of Appeal agreed, and it ruled in November that Turcotte would stand trial again on two counts of first-degree murder. That ruling was upheld by the Supreme Court of Canada last March.
Turcotte’s second trial is set to begin in September 2015.