Effects of impurity on the entanglement of the three-qubit Heisenberg XXX spin chain

Science in China, Series G: Physics, Mechanics and Astronomy

Volumn 50, Issue 2, 2007, Pages 208-214

  Hu, Mingliang ^a   Tian, Dongping ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b XI AN UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Heisenberg XXX chain; Impurity; Thermal entanglement

Indexed keywords

ANALYTICAL EXPRESSIONS; HEISENBERG; SPIN CHAINS;

SPIN DYNAMICS;

EID: 46149116538     PISSN: 16721799     EISSN: 18622844     Source Type: Journal    
DOI: 10.1007/s11433-007-0019-9     Document Type: Article

References (20)

1. Bennett C H, Brassard G, Crépeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys Rev Lett, 1993, 70(13): 1895-1899
2. Ekert A K. Quantum cryptography based on Bell's theorem. Phys Rev Lett, 1991, 67(6): 661-663
3. DiVincenzo D P, Eacon D, Kempe J, et al. Universal quantum computation with the exchange interaction. Nature, 2000, 408(6810): 339-342
4. Bennett C H, Wiesner S J. Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys Rev Lett, 1992, 69(20): 2881-2884
5. Wu G, Zhou C Y, Zeng H P. Time-division phase modulated single-photon interference in a Sagnac interferometer. Chin Sci Bull, 2003, 48(16): 1704-1708
6. Murao M, Jonathan D, Plenio M B, et al. Quantum telecloning and multiparticle entanglement. Phys Rev A, 1999, 59(1): 156-161
7. Wang X G. Entanglement in the quantum Heisenberg XY model. Phys Rev A, 2001, 64(1): 012313
8. Wang X G. Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model. Phys Rev A, 2002, 66(4): 044305
9. Cao M, Zhu S Q. Thermal entanglement between alternate qubits of a four-qubit Heisenberg XX chain in a magnetic field. Phys Rev A, 2005, 71: 034311
10. Syn Y, Chen Y G, Chen H. Thermal entanglement in the two-qubit Heisenberg XY model under a nonuniform external magnetic field. Phys Rev A, 2003, 68: 044301
11. Kamta G L, Starace A F. Anisotropy and magnetic field effects on the entanglement of a two qubit Heisenberg XY chain. Phys Rev Lett, 2002, 88(10): 107901
12. Wang X G, Zanardi P. Quantum entanglement and Bell inequalities in Heisenberg spin Chains. Phys Lett A, 2002, 301: 1-6
13. Arnesen M C, Bose S, Vedral V. Natural thermal and magnetic entanglement in the 1D Heisenberg model. Phys Rev Lett, 2001, 87(1): 017901
14. Asoudeh M, Karimipour V. Thermal entanglement of spins in an inhomogeneous magnetic field. Phys Rev A, 2005, 71: 022308
15. Wang X G. Effects of anisotropy on thermal entanglement. Phys Lett A, 2001, 281: 101-104
16. Zhang G F, Li S S. Thermal entanglement in a two-qubit Heisenberg XXZ spin chain under an inhomogeneous magnetic field. Phys Rev A, 2005, 72: 034302
17. Zhou L, Song H S, Guo Y Q, et al. Enhanced thermal entanglement in an anisotropic Heisenberg XYZ chain. Phys Rev A, 2003, 68: 024301
18. Xi X Q, Hao S R, Chen W X, et al. Impurity entanglement in three-qubit Heisenberg XX chain. Phys Lett A, 2002, 297: 291-299
19. Hill S, Wootters W K. Entanglement of a pair of quantum bits. Phys Rev Lett, 1997, 78(26): 5022-5025
20. Wootters W K. Entanglement of formation of an arbitrary state of two qubits. Phys Rev Lett, 1998, 80(10): 2245-2248