he purpose of the summer workshop is to promote collaborative research on the rapidly developing interdisciplinary area of quantum information science. The focus will be on the mathematical aspects of the subject. Basic background and current research topics will be assumed. There will be four to five themes on the subjects including entanglement, quantum operations, quantum error correction, etc. Researchers will present their recent results and open problems on these topics. Participants will share their experiences and insights to solve the open problems. Researchers and graduate students from mathematics, physics, computer sciences, etc. are most welcomed to participate.