Quantum computing and quantum information processing make use of quantum systems and their non-classical properties as computational resources to outperform their classical counterparts. It is expected that a quantum computer solves computationally hard tasks for a classical computer, such as prime-number factorization of a large number and combinatorial problems, in a practical time. Many scientists, including mathematicians, physicists and computer scientists, are working toward physical realization of a practical quantum computer. In this workshop, we discuss these topics and related subjects including quantum control to facilitate our mutual understanding of these subject. We hope this workshop will result in many collaborations among the participants.