%0 Journal Article %T Indistinguishability and semantic security for quantum encryption scheme %A Chong Xiang %A Li Yang %J Computer Science %D 2015 %I arXiv %X We investigate the definition of security for encryption scheme in quantum context. We systematically define the indistinguishability and semantic security for quantum public-key and private-key encryption schemes, and for computational security, physical security and information-theoretic security. Based on our definition, we present a necessary and sufficient condition that leads to information-theoretic indistinguishability for quantum encryption scheme. The equivalence between the indistinguishability and semantic security of quantum encryption scheme is also proved. %U http://arxiv.org/abs/1506.05944v1