To execute a function during publishing post publish_post action hook is used. But what is quick press post publish hook?
As Wyck said, it's just a form that uses post.php. To check if QuickPress is the one making the call use:
add_action( 'publish_post', 'check_for_quickpress_wpse_109961' );
function check_for_quickpress_wpse_109961( $post_id )
if( 'post-quickpress-publish' == $_POST['action'] )
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