محاسبه‌ی درهم‌تنیدگی حالت‌های پایه‌ی شبکه‌ی ستاره‌ای دو بعدی اسپینی

[1] K.M. O’Conner, W.K. Wootters, Entangled rings, Physical Review A 63 (2001) 052302-1–052302-9.

[2] X. Wang, Entanglement in the quantum Heisenberg XY model, Physical Review A 64 (2001) 1-7.

[3] D. Gunlycke, S. Bose, V.M. Kendon, V. Vedral, Thermal concurrence mixing in a one-dimensional Ising model, Physical Review A 64 (2001) 1-7.

[4] G.L. Kamta, A.F. Starace, Anisotropy and magnetic field effects on the entanglement of a two qubit Heisenberg XY chain, Physical Review Letters 88 (2002) 1-4.

[5] M. Jafarpour, S. Ghanavati, D. Afshar, Entanglement distribution in a two-dimensional 5-site frustrated J1-J2 spin system: Separable and globally entangled ground states, International Journal of Quantum Information 13 (2015) 1-11.

[6] D.A. Meyer, N.R. Wallach, Global entanglement in multiparticle systems, Journal of Mathematical Physics 43 (2002) 4273-4278.   

[7] G.K. Brennen, An Observable measure of entanglement for pure states of multi-qubit systems, Quantum Information & Computation 3 6(2003) 619-626.

[8] A.J. Scott, Multipartite entanglement quantum-error-correcting codes and entangling power of quantum evolutions, Physical Review A 69 (2004) 1-13.

[9] D.r Bruß, N. Datta, A. Ekert, L. Ch. Kwek, Ch. Macchiavello, Multipartite entanglement in quantum spin chain,  Physical Review A 72 (2005) 1-4.

 [10] R. Jie, ZHU. Shi-Qun, Multipartite Entanglement in Heisenberg Model, Communications in Theoretical Physics 49 (2008) 1449–1452.

[11] T. Roscilde, P. Verrucchi, A. Fubini, S. Haas, V. Tognetti, Entanglement and factorized ground states in two-dimensional quantum antiferromagnets, Physical Review Letters 94 (2005) 1-4.

[12] R.Eryigit, R.Eryigit, Y.Gunduc, Analytical study of thermal entanglement in a two-dimensional J1–J2 model, Physical Letters A 358 (2006)363–367.

[13] R. Zhang, Sh. Zhu, Thermal entanglement in a two-dimensional Heisenberg XY model, Physical Letters A 348 (2006) 110–118.

[14] Q. Xu, S. Kais, M. Naumov, A. Sameh, Exact calculation of entanglement in a 19-site 2D spin system, Physical Review A 81(2010) 1-11.

[15] Q. Xu, G. Sadiek, S. Kais, Dynamics of entanglement in a two-dimensional spin system, Physical Review A 83(2011) 062312-062338.

[16] G. Sadiek, Impurity effect on entanglement in an XY two-dimensional spin lattice, Journal of King Saud University – Science 24 (2012) 331–338.

[17] Q. Xu, G. Sadiek, S. Kais, Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy, Physical Review A 85(2012) 1-21.

[18] G. Sadiek, S. Kais, Persistence of entanglement in thermal states of spin systems, Journal of Physics B: Atomic, Molecular and Optical Physics 46(2013) 1-25.

[19] J.I. Cirac, P. Zoller, A scalable quantum computer with ions in an array of microtraps, Nature 404 (2000) 579-581.

[20] S.B. Zheng, G.C. Guo, Efficient scheme for two-atom entanglement and quantum information processing in cavity QED, Physical Review Letters 85(2000) 2392-2395.

 [21] A. Hutton, S. Bose, Comparison of star and ring topologies for entanglement Distribution, Physical Review A 66(2002) 1-14.

[22] A. Hutton, S. Bose, Mediated entanglement  and correlations in a star network of interacting spins, Physical Review A 69 (2004) 1-4.

[23] W.K. Wootters, Entanglement of Formation of an Arbitrary State of Two Qubits, Physical Review Letters 80 (1998) 2245-2248.

[24] P.J. Love et al, A characterization of global entanglement, Quantum Information Processing 6 (2007) 187-195.

[25] U. Scholl Wock, J. Richter, D.J.J. Farnell, R.F. Bishop (Eds.), Quantum Magnetism, Lect. Notes Phys. 645, Springer, Berlin Heidelberg (2004).

[26] Gu. Shi-Jian, Lin. Hai-Qing, Scaling dimension of fidelity susceptibility in quantum phase transitions, Euro physics Letters 87(2009)10003-10005.