This paper focuses on the study of topological features in teleportation-based quantum computation as well as aims at presenting a detailed review on teleportaiton-based quantum computation (Gottesman and Chuang, Nature 402, 390, 1999). In the extended Temperley-Lieb diagrammatical approach, we clearly show that such topological features bring about the fault-tolerant construction of both universal quantum gates and four-partite entangled states more intuitive and simpler. Furthermore, we describe the Yang-Baxter gate by its extended Temperley-Lieb configuration, and then study teleportation-based quantum circuit models using the Yang-Baxter gate. Moreover, we discuss the relationship between the extended Temperley-Lieb diagrammatical approach and the Yang-Baxter gate approach. With these research results, we propose a worthwhile subject, the extended Temperley-Lieb diagrammatical approach, for physicists in quantum information and quantum computation.

The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functionsFang-Yong Dong( ) 1 Bao-Xi Sun( ) 1,2 Jing-Long Pang( ) 2

We compare contributions from the triangle diagram and the DD * bubble chain with the processes of e + e − → J/ψπ + π − and e + e − → (DD * ) ∓ π ± . By fitting the J/ψπ maximum spectrum and the DD * spectrum, we find that the triangle diagram cannot explain the new experimental results from BESIII Collaboration at center of mass at 4.23 and 4.26 GeV, simultaneously. On the contrary, the molecular assignment of Z c (3900) gives a much better description.

We compare contributions from the triangle diagram and the D D * bubble chain to the processes of e + e − → J/ψπ + π − and e + e − → (D D * ) ∓ π ± . By fitting the J/ψπ maximum spectrum and the D D * spectrum, we find that the triangle diagram cannot explain the new experimental results from BESIII Collaboration at center of mass at 4.23GeV and 4.26GeV, simultaneously. On the contrary, the molecular assignment of Zc(3900) gives a much better description.

We study the construction of both universal quantum computation and multipartite entangled states in the topological diagrammatical approach to quantum teleportation. Our results show that the teleportation-based quantum circuit model admits a space-time topological interpretation which makes the construction of both quantum gates and four-partite entangled states more intuitive and simpler. Our results state a deeper link between the space-time non-locality and the quantum non-locality which are the two-fold character of the topological diagrammatical representation.