Fred Beecher wrote what he thinks are the nine essential characteristics you must possess to make a good software user experience designer, in reaction to a comment made about skills an IA should possess. It's an excellent read for those listing qualifications and evaluating UX Designers for hire, and a great list of qualities for job-seekers to demonstrate during interviews.
Elizabeth Buie also added a familiarity with HCI literature, and undboubtedly with HCI history, which I think should be there as well. For descriptions of each characteristic read the full article
http://userexperience.evantageconsulting.com/2009/07/characteristics-good-ux-designers/