The 17-year-old will join the club's centre of excellence as a first year scholar but they have high hopes that he will be able to progress to the first team in the future.
QPR were not alone in wanting the versatile front man and they will consider it a coup to have landed the highly rated youngster.
"We are pleased to bring Petros in," head of youth development Steve Gallen told the club's official website.
"He is a good lad. He's quick, bright, lively and he wants to score goals he can also play on the flanks and get crosses into the box.
"He is a good addition to our youth department."
Meanwhile coach Ronnie Jepson has left QPR to join Neil Warnock at Leeds United, Jepson remained at Loftus Road as reserve-team boss following Rangers' recent sacking of Warnock, whose successor Mark Hughes brought in his own coaching staff.
But Warnock, who recently took over as Leeds manager, wanted Jepson as part of his backroom team at Elland Road.