321 citations
- University of BonnDE7 papers
- Max Planck Institute for MathematicsDE5 papers
- Max Planck Institute for Mathematics in the SciencesDE5 papers
- Beijing Normal UniversityCN4 papers
- Chinese Academy of SciencesCN4 papers
- Institute of Theoretical PhysicsCN4 papers
- Harbin Institute of TechnologyCN3 papers
- Hebei Normal UniversityCN2 papers
- Institute of High Energy PhysicsCN2 papers
- Northeast Normal UniversityCN2 papers
- Academia SinicaTW1 paper
- Academy of Mathematics and Systems ScienceCN1 paper
6 papers · 1 filter
Complete gradient shrinking Ricci solitons have finite topological type
Fuquan Fang, Jianwen man, Zhenlei Zhang
We show that a complete Riemannian manifold has finite topological type (i.e., homeomorphic to the interior of a compact manifold with boundary), provided its Bakry-Émery Ricci ten…
Local Equivalence of Rank-Two Quantum Mixed States
Sergio Albeverio, Shao-Ming Fei, Debashish Goswami
We investigate the equivalence of quantum mixed states under local unitary transformations. For a class of rank-two mixed states, a sufficient and necessary condition of local equi…
Difference Discrete Connection and Curvature on Cubic Lattice
Ke Wu, Wei-Zhong Zhao, Han-Ying Guo
In a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the…
Addendum to "Multipartite states under local unitary transformations"
Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei +1
In previous work the authors introduced a notion of generic states and obtained criteria for local equivalence of them. Here they introduce the concept of CHG states maintaining th…
Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity
Han-Ying Guo, Chao-Guang Huang, Yu Tian +3
Between Snyder's quantized space-time model in de Sitter space of momenta and the \dS special relativity on \dS-spacetime of radius with Beltrami coordinates, there is a one-to…
Entanglement conditions for multi-mode states
Zong-Guo Li, Shao-Ming Fei, Zhi-Xi Wang +1
We provide a class of inequalities for detecting entanglements in multi-mode systems. Necessary conditions for fully separable, bi-separable and sufficient conditions for fully ent…