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Chin. Phys. B, 2019, Vol. 28(12): 120307    DOI: 10.1088/1674-1056/ab53cc
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Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)
Department of Physics, Hubei University, Wuhan 430062, China
Abstract  We investigate the teleportation of an entangled state via a couple of quantum channels, which are composed of a spin-1/2 Heisenberg dimer in two infinite Ising-Heisenberg chains. The heterotrimetallic coordination polymer CuMn(L1)] [Fe(bpb)(CN)2]·ClO4·H2O (abbreviated as Fe-Mn-Cu) can be regarded as an actual material for this chain. We apply the transfer-matrix approach to obtain the density operator for the Heisenberg dimer and use the standard teleportation protocol to derive the analytical expression of the density matrix of the output state and the average fidelity of the entanglement teleportation. We study the effects of the temperature T, anisotropy coupling parameter , Heisenberg coupling parameter J2 and external magnetic field h on the quantum channels. The results show that anisotropy coupling and Heisenberg coupling J2 can favor the generation of the output concurrence and expand the scope of the successful average fidelity.
Keywords:  entanglement teleportation      Ising-Heisenberg chain      transfer-matrix approach      concurrence  
Received:  11 July 2019      Revised:  29 September 2019      Accepted manuscript online: 
PACS:  03.67.Bg (Entanglement production and manipulation)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  75.10.Pq (Spin chain models)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).
Corresponding Authors:  Zhu Mao, Bin Zhou     E-mail:  maozhu@hubu.edu.cn;binzhou@hubu.edu.cn

Cite this article: 

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌) Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer 2019 Chin. Phys. B 28 120307

[33] Rojas M, de Souza S M and Rojas O 2017 Ann. Phys. 377 506
[34] Kikuchi H, Fujii Y, Chiba M, Mitsudo S and Idehara T 2003 Physica B 329-333 967
[1] Nielson M A and Chuang I L 2000 Quantum computation and quantum information (Cambridge: Cambridge University Press)
[35] Ishikawa R, Katoh K, Breedlove B K and Yamashita M 2012 Inorg. Chem. 51 9123
[2] Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[36] Zhang W X, Ishikawa R, Breedlove B and Yamashita M 2013 Rsc Adv. 3 3772
[3] Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H and Zeilinger A 1997 Nature 390 575
[37] Wang Z X, Zhang X, Zhang Y Z, Li M X, Zhao H, Andruh M and Dunbar K R 2014 Angew. Chem. Int. Ed. 53 11567
[4] Ekert A K 1991 Phys. Rev. Lett. 67 661
[38] Leuenberger M N and Loss D 2001 Nature 410 789
[5] Deng F G and Long G L 2003 Phys. Rev. A 68 042315
[39] Ardavan A, Rival O, Morton J J L, Blundell S J, Tyryshkin A M, Timco G A and Winpenny R E P 2007 Phys. Rev. Lett. 98 057201
[6] Hillery M, Bužek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[40] Rojas O, Rojas M, Ananikian N S and de Souza S M 2012 Phys. Rev. A 86 042330
[7] Cleve R, Gottesman D and Lo H K 1999 Phys. Rev. Lett. 83 648
[41] Rojas O, Rojas M, de Souza S M, Torrico J, Strečka J and Lyra M L 2017 Physica A 486 367
[8] Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881
[9] Popescu S 1994 Phys. Rev. Lett. 72 797
[42] Zheng Y, Mao Z and Zhou B 2018 Chin. Phys. B 27 090306
[10] Bowen G and Bose S 2001 Phys. Rev. Lett. 87 267901
[43] Qiao J and Zhou B 2015 Chin. Phys. B 24 110306
[11] Boschi D, Branca S, de Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121
[44] Wang H, Zhang L F, Ni Z H, Zhong W F, Tian L J and Jiang J 2010 Cryst. Growth 10 4231
[12] Furusawa A, Sorensen J L, Braunstein S L, Fuchs C A, Kimble H J and Polzik E S 1998 Science 282 706
[45] Souza F, Lyra M L, Strečka J and Pereira M S S 2019 J. Magnet. Magnet. Mater. 471 423
[13] Yin J, Ren J G, Lu H, Cao Y, Yong H L, Wu Y P, Liu C, Liao S K, Zhou F, Jiang Y, Cai X D, Xu P, Pan G S, Jia J J, Huang Y M, Yin H, Wang J Y, Chen Y A, Peng C Z and Pan J W 2012 Nature 488 185
[46] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[14] Ma X S, Herbst T, Scheidl T, Wang D, Kropatschek S, Naylor W, Wittmann B, Mech A, Kofler J, Anisimova E, Makarov V, Jennewein T, Ursin R and Zeilinger A 2012 Nature 489 269
[47] Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022
[15] Ren J G, Xu P, Yong H L, Zhang L, Liao S K, Yin J, Liu W Y, Cai W Q, Yang M, Li L, Yang K X, Han X, Yao Y Q, Li J, Wu H Y, Wan S, Liu L, Liu D Q, Kuang Y W, He Z P, Shang P, Guo C, Zheng R H, Tian K, Zhu Z C, Liu N L, Lu C Y, Shu R, Chen Y A, Peng C Z, Wang J Y and Pan J W 2017 Nature 549 70
[48] Jozsa R 1994 J. Mod. Opt. 41 2315
[16] Stenholm S and Bardroff P J 1998 Phys. Rev. A 58 4373
[49] Bowdrey M D, Oi D K L, Short A J, Banaszek K and Jones J A 2002 Phys. Lett. A 294 258
[17] Braunstein S L and Kimble H J 1998 Phys. Rev. Lett. 80 869
[18] Vaidman L 1994 Phys. Rev. A 49 1473
[19] Lee J and Kim M S 2000 Phys. Rev. Lett. 84 4236
[20] Arnesen M C, Bose S and Vedral V 2001 Phys. Rev. Lett. 87 017901
[21] Wang X 2001 Phys. Rev. A 64 012313
[22] Kamta G L and Starace A F 2002 Phys. Rev. Lett. 88 107901
[23] Zhou L, Song H S, Guo Y Q and Li C 2003 Phys. Rev. A 68 024301
[24] Zhang G F and Li S S 2005 Phys. Rev. A 72 034302
[25] Yeo Y 2002 Phys. Rev. A 66 062312
[26] Yeo Y, Liu T, Lu Y E and Yang Q Z 2005 J. Phys. A 38 3235
[27] Zhang G F 2007 Phys. Rev. A 75 034304
[28] Hao X and Zhu S 2005 Phys. Lett. A 338 175
[29] Guo J L, Xia Y and Song H S 2008 Opt. Commun. 281 2326
[30] Cai J T, Abliz A, Zhang G F and Bai Y K 2010 Opt. Commun. 283 4415
[31] Qin W and Guo J L 2015 Int. J. Theor. Phys. 54 2386
[32] Xi Y X, Cheng W W and Huang Y X 2015 Quantum Inf. Process. 14 2551
[33] Rojas M, de Souza S M and Rojas O 2017 Ann. Phys. 377 506
[34] Kikuchi H, Fujii Y, Chiba M, Mitsudo S and Idehara T 2003 Physica B 329-333 967
[35] Ishikawa R, Katoh K, Breedlove B K and Yamashita M 2012 Inorg. Chem. 51 9123
[36] Zhang W X, Ishikawa R, Breedlove B and Yamashita M 2013 Rsc Adv. 3 3772
[37] Wang Z X, Zhang X, Zhang Y Z, Li M X, Zhao H, Andruh M and Dunbar K R 2014 Angew. Chem. Int. Ed. 53 11567
[38] Leuenberger M N and Loss D 2001 Nature 410 789
[39] Ardavan A, Rival O, Morton J J L, Blundell S J, Tyryshkin A M, Timco G A and Winpenny R E P 2007 Phys. Rev. Lett. 98 057201
[40] Rojas O, Rojas M, Ananikian N S and de Souza S M 2012 Phys. Rev. A 86 042330
[41] Rojas O, Rojas M, de Souza S M, Torrico J, Strečka J and Lyra M L 2017 Physica A 486 367
[42] Zheng Y, Mao Z and Zhou B 2018 Chin. Phys. B 27 090306
[43] Qiao J and Zhou B 2015 Chin. Phys. B 24 110306
[44] Wang H, Zhang L F, Ni Z H, Zhong W F, Tian L J and Jiang J 2010 Cryst. Growth 10 4231
[45] Souza F, Lyra M L, Strečka J and Pereira M S S 2019 J. Magnet. Magnet. Mater. 471 423
[46] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[47] Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022
[48] Jozsa R 1994 J. Mod. Opt. 41 2315
[49] Bowdrey M D, Oi D K L, Short A J, Banaszek K and Jones J A 2002 Phys. Lett. A 294 258
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