Quantum Entanglement and Related Mathematics

• Applicant: Professor Dr. Sergio Albeverio
• Subject Area: Mathematics
• Term: from 2005 to 2008
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 15212412

• Final Report Year: 2008

Final Report Abstract

No abstract available

Publications

• A Class of Bound Entangled Stales, Phys. Lett. A 352(2006)321-325
  Shao-Ming Fei, Xian-Qing Li-Jost and Bao-Zhi Sun
  
• A Note on Local Equivalence of Bipartite States under Local Unitary Transformations, J. Phys. A: Math. Gen. 39(2006)L43-L47
  Bao-Zhi Sun. Shao-Ming Fei. Xianqing Li-Jost and Zhi-Xi Wang
  
• A Note on Pseudo-Hermitian Systems with Point Interactions and Separability, Czech J. Phys. 5,6(2006)887-892
  Shao-Ming Fei
  
• Add-endum to "Multipartite states under local unitary transformations", Rep. Math. Phys. 58(2006)223-226
  Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei and Xiao-Hong Wang
  
• Bell Inequalities Classifying Bi-separable Threequbit States, Phys. Rev. A 74(2006)032335
  Bao-Zhi Sun and Shao-Ming Fei
  
• Concurrence-based Entanglement Measure, for Werner States, Rep. Math. Phys. 58(2006)325-334
  Kai Chen. Sergio Albeverio and Shao-Ming Fei
  
• Hermitian Tensor Product Approximation of Complex Matrices and Separability. Rep. Math. Phys. 57(2006)271-288
  Shao-Ming Fei, Nai-Huan Jing and Bao-Zhi Sun
  
• Invariants for a Class of Nongeneric Three-qubit States, Commun. Theor. Phys. 45(2006)1007-1010
  Bao-Zhi Sun and Shao-Ming Fei
  
• Lower Bond of Concurrence for Tripartite Quantum Systems, Phys. Rev. A 74 (Rapid Communication)(2006)050303
  Xiu-Hong Gao, Shao-Ming Fei and Ke Wu
  
• Matrix Tensor Product Approach to the Equivalence of Multipartite Quantum States under Local Unitary Transformations, Commun. Theor. Phys. 45(2006)267-270
  Xiu-Hong Gao, Sergio Albeverio. Shao-Ming Fei. Zhi-Xi Wang
  
• R-Function Related to Entanglement of Formation, Phys. Rev. A 73(2006)024302
  Shao-Ming Fei and Xiauqing Li-Jost
  
• Separability and Entanglement of Identical Bosonic Systems., J. Phys. A 39, Gen. and Math. (2006)L555-L557
  Xiao-Hong Waaig, Shao-Ming Fei and Ke Wu
  
• Two-Setting Bell Inequalities for Many Qubits, Phys. Rev. A (Rapid Communication) 74(2006)050101
  Kai Chen, Sergio Albeverio and Shao-Ming Fei
  
• Differential Geometry of Bipartite Quantum States, Rep. Math. Phys. 60(2007)125- 133
  Zu-Huan Yu. Xian-Qing Jost-Li. Qing-Zhong Li. Jin-Tao Lv and Shao-Ming Fei
  
• Entanglement Conditions for Multi-mode States, Phys. Rev. A 75(2007)012311
  Zong-Guo Li, Shao-Ming Fei, Zhi-Xi Wang and Ke Wu
  
• Local Equivalence for a Class of Bipartite Quantum Mixed States, Foundation of Probability and Physics-4, AIP conference proceedings 889(2007)294-298
  Xiao-Hong Wang, Sergio Albeverio, Laura Cattaneo and Shao-Ming Fei
  
• Local Equivalence of Rank Two Mixed States., J. Phys. A 40(2007)11113-11117
  Sergio Albeverio, Shao-Ming Fei and Debashish Goswami
  
• Quantum Entanglement and Separability, Recent Progress in Quantum Mechanics., 4 (2007)79-112
  Xiao-Hong Wang, Zhi-Xi Wang, Ke Wu and Shao-Ming Fei
  
• Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations, Int. J, Quant. Inform. 5(2007)795-803
  Zu-Huan Yu. Xian-Qing Jost-Li and Shao-Ming Fei
  
• A Complete Set of Local Invariants for a Family of Multipartite Mixed States, J. Phys, A 41, Math. Theor. (2008) 025305
  Xiao-Hong Wang, Shao-Ming Fei and Ke Wu