Pair beat Amy Winehouse, Duffy and Leona Lewis
Their song Another Way To Die is the first duet in the franchise’s history.
Alicia, 27, is an R ‘n’ B star while Jack, 33, is famous for his rock band The White Stripes.
She has provided the vocals, while he has written, produced and played the drums on the track.
‘We are delighted and pleased to have two such exciting artists as Jack and Alicia,’ producers Michael G Wilson and Barbara Broccoli tell the BBC.
The pair have beaten Amy Winehouse, Duffy, both 24, and Leona Lewis, 23, who were considered favourites.
Quantum Of Solace will be released in November.