The music for Caprica is composed by Bear McCreary, also the composer to the Battlestar Galactica re-imagined series.
Bear commented on the soundtrack before the pilot went to DVD:
"The album is finished and is currently being mastered. It will hit stores in early June, but will be available early from the label’s website in late May. The sound of this score is much more intimate than Galactica, but I think fans will nevertheless be surprised at how lyrical, passionate and thematic it is. In fact, many of the musical shifts you heard in Daybreak were inspired by the harmonic language I devised for Caprica" .
There was also a YouTube video released with Bear playing the main theme to Caprica on piano .
1 "Soundtrack Album Updates" from Bear's Battlestar Galactica Blog
2 "Bear McCreary spielt "Caprica"-Theme in Hagen" from YouTube