×

The thermal teleportation of a qutrit in the two-qutrits \(xxz\) chain. (English) Zbl 1435.81053

Summary: We study the effect of temperature, magnetic field and Dzyaloshinskii-Moriya interaction on the fidelity of thermal teleportation in the \(xxz\) two-qutrits Heisenberg chain. We observe that the fidelity is an increasing function of temperature, but a decreasing function of the strength of the Dzyaloshinskii-Moriya interaction. Moreover, as the positive homogeneous magnetic field is increased, the fidelity is finally vanished. If the negative homogeneous magnetic field is increased, at first, the fidelity decreases but eventually follows an almost straight line. Increasing positive and negative inhomogeneous magnetic field causes the fidelity to increase.

MSC:

81P48 LOCC, teleportation, dense coding, remote state operations, distillation
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
81P47 Quantum channels, fidelity
81S22 Open systems, reduced dynamics, master equations, decoherence
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Jin-Liang, G.; Jing, N.; He-Shan, S., Commun. Theor.Phys., 49, 6, 1435-1438 (2008) · Zbl 1392.81058 · doi:10.1088/0253-6102/49/6/18
[2] Yeo, Y., Phys. Rev. A, 66, 062312 (2002) · doi:10.1103/PhysRevA.66.062312
[3] Li, S.B., Xu, J.B.: arXiv:quant-ph/0312125. (2003)
[4] Yeo, Y.; Liu, T.; Lu, YE; Yang, QZ, J. Phys. A: Math.Gen., 38, 3235 (2005) · Zbl 1065.81017 · doi:10.1088/0305-4470/38/14/012
[5] Hao, X.; Zhu, S., Phys. Lett. A, 338, 3-5, 175-181 (2005) · Zbl 1136.81314 · doi:10.1016/j.physleta.2005.02.037
[6] Kao, ZC; Ng, J.; Yeo, Y., Phys. Rev. A, 72 (2005) · doi:10.1103/PhysRevA.72.062302
[7] Zhang, GF, Phys. Rev. A, 75 (2007) · doi:10.1103/PhysRevA.75.034304
[8] Zhang, Y.; Long, GL; Wu, YC; Guo, GC, Commun. Theor. Phys., 47, 787 (2007) · doi:10.1088/0253-6102/47/5/005
[9] Zhou, Y.; Zhang, GF; Li, SS; Abliz, A., EPL (Europhysics Letters) 86(5) (2009)
[10] Guo, JL; Song, HS, Eur. Phys. J. D, 56, 265-269 (2010) · doi:10.1140/epjd/e2009-00249-7
[11] G. Dan, ZH. Zhen-Shuang, ZH. Ai-Dong, W. Hong-Fu, SH. Xiao-Qiang & ZH. Shou, Chin. Phys.. B 19(9), 090313 (2010)
[12] Cai, JT; Abliz, A.; Zhang, GF; Bai, YK, Opt. Commun., 283, 4415-4421 (2010) · doi:10.1016/j.optcom.2010.06.075
[13] Balvasi, M.; Taghavimoghadam, E.; Baharvand, F., J. Acad. Appl. Stud., 3, 5, 28-37 (2013)
[14] Castro, CS; Duarte, OS; Pires, DP; Soares-Pinto, DO; Reis, MS, Phys. Lett. A, 380, 18-19, 1571-1576 (2016) · doi:10.1016/j.physleta.2016.03.002
[15] Y. Zhou, G.F. Zhang, Eur. Phys. J. D.47, 227 (2008)
[16] Kheirandish, F.; Akhtarshenas, SJ; Mohammadi, H., Phys. Rev. A, 77, 042309 (2008) · doi:10.1103/PhysRevA.77.042309
[17] Li, CH; Zhao, NSH, Optik - Int. J. Light Electron Optics, 127, 20, 8475-8478 (2016) · doi:10.1016/j.ijleo.2016.06.037
[18] Dzialoshinskii, IE, Sov. Phys. J., 5, 6, 1259 (1957)
[19] Moriya, T., Phys. Rev. Lett., 120, 1, 91 (1960)
[20] Moriya, T., Phys. Rev. Lett., 4, 5, 228 (1960) · doi:10.1103/PhysRevLett.4.228
[21] Moriya, T., Phys. Rev. Lett., 117, 3, 635 (1960)
[22] Bose, S., Contemp. Phys., 48, 1, 13-30 (2007) · doi:10.1080/00107510701342313
[23] M. A. Nielsen & I. L. Chuang, Quantum Computation and Quantum Information, 10th Edition (Cambridge University Press, 2010) · Zbl 1288.81001
[24] Xiao-San, M.; An-Min, W., Commun. Theor. Phys., 52, 5, 825-828 (2009) · Zbl 1180.82032 · doi:10.1088/0253-6102/52/5/12
[25] Bowen, G.; Bose, S., Phys. Rev. Lett., 87, 267901 (2001) · doi:10.1103/PhysRevLett.87.267901
[26] An, NB, Phys. Lett., A341, 9-14 (2005) · Zbl 1135.81312 · doi:10.1016/j.physleta.2005.04.055
[27] Mallesh, AKS; Mukunda, N., J. Phys. A Math. Gen., 30, 7, 2417 (1997) · Zbl 0928.46056 · doi:10.1088/0305-4470/30/7/021
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.