Three-dimensional Heisenberg model in the form of a tetrahedron lattice is investigated. The concurrence and multipartite entanglement are calculated through 2-concurrence C and 4-concurrence C4. The concurrence C and...Three-dimensional Heisenberg model in the form of a tetrahedron lattice is investigated. The concurrence and multipartite entanglement are calculated through 2-concurrence C and 4-concurrence C4. The concurrence C and multipartite entanglement G4 depend on different coupling strengths Ji and are decreased when the temperature T is increased. For a symmetric tetrahedron lattice, the concurrence C is symmetric about J1 when J~ is negative while the multipartite entanglement G4 is symmetric about J1 when J2 〈 2. For a regular tetrahedron lattice, the concurrence G of ground state is 1/3 for ferromagnetic case while G = 0 for antiferromagnetic ca.se. However, there is no multipartitc entanglement since C4=0 in a regular tetrahedron lattice. The external magnetic field 13 can increase the maximum value of the concurrence GB and induce two or three peaks in Cn. There is a peak in the multipartite entanglement G4 B when G4B is varied as a function of the temperature T. This peak is mainly induced by the magnetic field B.展开更多
A scheme is presented to realize the controlled teleportation of an unknown three dimensional(3D) two-particle state by using a non-maximally entangled two-particle state and a non-maximally entangled three-particle s...A scheme is presented to realize the controlled teleportation of an unknown three dimensional(3D) two-particle state by using a non-maximally entangled two-particle state and a non-maximally entangled three-particle state in the 3D space as the quantum channels,and one of the particles in the channels is used as the controlled particle.Analysis shows that when the quantum channels are of maximal entanglement,namely the channels are composed of a 3D Bell state and a 3D GHZ state,the total success probability of the controlled teleportation can reach 1.And this scheme can be expanded to control the teleportation of an unknown D-dimensional two-particle state.展开更多
In this paper, we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra （TLA ）, then a family of 9 × 9-matrix representations of Birman-Wenzl-Murakami algebra （t3 WMA ）...In this paper, we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra （TLA ）, then a family of 9 × 9-matrix representations of Birman-Wenzl-Murakami algebra （t3 WMA ） have been presented. Based on which, three topological basis states have been found. And we apply topological basis states to recast ninedimensional BWMA into its three-dimensional counterpart. Finally, we find the topological basis states are spin singlet states in special ease.展开更多
基金The project supported by the SpeciaLized Research Fund for the DoctoraL Program of Higher Education under Grant No. 20050285002 . It is our pleasure to thank Yin-Sheng Ling and JianXing Fang for their helpful discussions.
文摘Three-dimensional Heisenberg model in the form of a tetrahedron lattice is investigated. The concurrence and multipartite entanglement are calculated through 2-concurrence C and 4-concurrence C4. The concurrence C and multipartite entanglement G4 depend on different coupling strengths Ji and are decreased when the temperature T is increased. For a symmetric tetrahedron lattice, the concurrence C is symmetric about J1 when J~ is negative while the multipartite entanglement G4 is symmetric about J1 when J2 〈 2. For a regular tetrahedron lattice, the concurrence G of ground state is 1/3 for ferromagnetic case while G = 0 for antiferromagnetic ca.se. However, there is no multipartitc entanglement since C4=0 in a regular tetrahedron lattice. The external magnetic field 13 can increase the maximum value of the concurrence GB and induce two or three peaks in Cn. There is a peak in the multipartite entanglement G4 B when G4B is varied as a function of the temperature T. This peak is mainly induced by the magnetic field B.
基金supported by the National High Technology Research and Development Program of China (Nos.2007AA030112 and2009AA032708)
文摘A scheme is presented to realize the controlled teleportation of an unknown three dimensional(3D) two-particle state by using a non-maximally entangled two-particle state and a non-maximally entangled three-particle state in the 3D space as the quantum channels,and one of the particles in the channels is used as the controlled particle.Analysis shows that when the quantum channels are of maximal entanglement,namely the channels are composed of a 3D Bell state and a 3D GHZ state,the total success probability of the controlled teleportation can reach 1.And this scheme can be expanded to control the teleportation of an unknown D-dimensional two-particle state.
基金Supported by National Natural Science Foundation of China under Grant No. 10875026
文摘In this paper, we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra （TLA ）, then a family of 9 × 9-matrix representations of Birman-Wenzl-Murakami algebra （t3 WMA ） have been presented. Based on which, three topological basis states have been found. And we apply topological basis states to recast ninedimensional BWMA into its three-dimensional counterpart. Finally, we find the topological basis states are spin singlet states in special ease.
