The role of noisy channels in quantum teleportation

S. Ahadpour, F. Mirmasoudi

Abstract


In quantum information theory, effects of quantum noise on teleportation are undeniable. Hence,
we investigate the effect of noisy channels including amplitude damping, phase damping, depolarizing and phase ip on the teleported state between Alice and Bob where they share an entangled state by using atom-eld interaction state. We analyze the delity and quantum correlations as a function of decoherence rates and time scale of a state to be teleported. We observe that the average delity
and quantum correlations accurately depend on types of noise acting on quantum channels. It is found that atom-eld interaction states are affected by amplitude damping channel are more useful for teleportation than when the shared qubites are affected by noisy channels such as AD channel and phase ip. We also observe that if the quantum channels is subject to phase ip noise, the average delity reproduces initial quantum correlations to possible values. On the other hand,
not only all the noisy quantum channels do not always destroy average delity but also they can yield the highest delity in noisy conditions. In the current demonstration, our results provide that the average delity can have larger than 2/3 in front of the noise of named other channels with increasing decoherenc strength. Success in quantum states transfer in the present noise establishes the important of studing noisy channels.


Full Text:

PDF

References


T. Werlang, S. Souza, F. Fanchini, C. V. Boas, Phys.

Rev. A 80 (2009) 024103.

J. Maziero, T. Werlang, F. Fanchini, L. Celeri, R. M.

Serra, Phys. Rev. A 81 (2010) 022116.

D. Collins, J. Stephens, Phys. Rev. A 92 (2015) 032324.

G. Zhang, A. Ji, H. Fand, W. M. Liu, Annals of Physics

(2012) 2074.

Y. Guo, K. Zeng, G. Wang, Int J Theor Phys 55 (2016)

{2903.

M. Ramzan, Eur. Phys. J. D 67 (2013) 170.

F. Mirmasoudi, S. Ahadpour, Journal of Modern Optics

(2017) 1.

F. Mirmasoudi, S. Ahadpour, Journal of Physics A:

Mathematical and Theoretical 51 (34) (2018) 345302.

F. Mirmasoudi, S. Ahadpour, Physica A: Statistical Me-

chanics and its Applications 515 (34) (2018) 232239.

C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa,

A. Peres, W. K.Wootters, Teleporting an unknown quan-

tum state via dual classical and einstein-podolsky-rosen

channels, Phys. Rev. Lett. 70 (1993) 1895{1899.

K.-F. Yu, J. Gu, T. Hwang, P. Gope, Quantum Informa-

tion Processing 16 (8) (2017) 1{14.

E. T. Jaynes, F. W. Cummings, Proc. IEEE 51 (1963)

T. Aoki, et al., Nature 443 (2001) 671.

A. Blais, R. Huang, A.Wallraff, S. Girvin, R. Schoelkopf,

Phys. Rev. A 69 (2004) 062320.

N. Metwally, M. Abdel-Aty, A. F. Obada, Chaos, Solitons

and Fractals 22 (2004) 529.

M. Bin, F. Casagrande, A. Lulli, Laser Phys 19 (2009)

D. Wineland, et al., J. Res. Natl. Inst. Stand. Technol

(1998) 259.

D. N. Matsukevich, T. Chanelire, S. D. Jenkins, S. Lan,

T. A. B.Kennedy, A. Kuzmich, Phys. Rev. Lett 96 (2006)

T. Tessier, A. Delgado, I. Fuentes-Guridi, I. H. Deutsch,

Phys. Rev. A 68 (2003) 062316.

B. C. H, W. S. J, Phys. Rev. Lett. 69 (0) (1992) 2881{

C. Bennett, D. DiVincenzo, C. Fuchs, T. Mor, E. Rains,

P. Shor, J. Smolin, W. Wootters, Phys. Rev. A 59 (1999)

H. Ollivier, W. Zurek, Phys.Rev.Lett 88 (2001) 017901.

J. Ying-Hua, Chinese Physics B 24 (12) (2015) 120302.

A. Streltsov., D. Bru, Phys.Rev.Lett 108 (2012) 250501.

Z. Xi, X. Lu, X. Wang, Y. Li, Phys. Rev. A 85 (2012)

M. Daoud, R. A. Laamara, J. Phys. A: Math. Theor 45

(2012) 325302.

X. Wu, T. Zhou, Quantum Inf. Pro 14 (2015) 19591971.

M. Christand, R. Colbeck, JM.Renes, R. Renner, Nat.

Phys 108 (2010) 6659.

Y. Aharonov, D. Albert, L. Vaidman, Phys. Rev. Lett 60

(1988) 1351.

O. Oreshkov, T. Brun, Phys. Rev. Lett 95 (2005) 110409.

D. Menzies, N. Korolkova, Phys. Rev. A 77 (2008)

D. Menzies, N. Korolkova, Phys. Rev. A 374 (2009) 34.

YS, J. Lee, O. Kwon, Y. Kim, Nature Physics 8 (2012)

L. Chotorlishvili, Z. Toklikishvili, Eur. Phys. J. D 47

(2008) 433.

H. Y. Hua, W. Qiang, Chin. Phys. B 21 (2008) 014203.

CE.Lopez, G. Romero, F. Lastra, E. Solano, J. C. Reta-

mal, Phys. Rev. Lett 101 (2008) 080503.

Y. Liu, S. Ozdemir, A. Miranowicz, N. Imoto, Phys. Rev.

Lett 70 (2004) 042308.

F. Ozaydin, Phys. Lett. A 378 (2014) 3161{3164.

G. F. Zhang, Phys. Rev. A. 75 (2007) 1895{1899.

R. Jozsa, J. Mod. Opt 41 (1994) 2315{2323.

N. Li, S. Luo, Phys. Rev. A 76 (2007) 032327.

J. Maziero, L. Celeri, R. Serra, V. Vedral, Phys. Rev. A

(2009) 044102.

S. P. B. Groisman, A. Winter, Phys. Rev. A 72 (2005)

M. Ali, A. R. P. Rau, G. Alber, Phys. Rev. A 81 (2010)

L. Mazzola, J. Piilo, S. Maniscalcos, Phys. Rev. Lett 104

(2010) 200401.

X. Q.Yan., B. Zhang, Annals of Physics 349 (2014) 350{

S. Luo, Phys. Rev. A 77 (2008) 032327.

A. Datta, Phys. Rev. A 80 (2009) 052304.

L. Henderson, V. Vedral, J. Phys. A Math. Gen 34 (2001)

Z. Guo, H. Cao, S. Qu, Information Sciences 289 (2014)

{272.

U. Singh, A. K. Pati, Annals of Physics 343 (2014) 141.

Y. Aharonov, D. Albert, L. Vaidman, Phys. Rev. Lett 60

(1998) 1351.

J.Wang, J. Deng, J. Jing, Phys. Rev. A 81 (2010) 052120.

A. Datta, S. Flammia, C. Caves, Phys. Rev. A 72 (2005)

N. Jing, B. Yu, Quantum Inf. Pro 16 (2017) 1{18.

T.Li, T. Y. Wang, S.Fe, Z.Wang, Int J Theor Phys 54

(2015) 680




DOI: https://doi.org/10.31349/RevMexFis.66.378

Refbacks

  • There are currently no refbacks.


REVISTA MEXICANA DE FÍSICA, year 67, issue 1, January-February 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, January 4, 2021.

The responsibility of the materials published in Revista Mexicana de Física rests solely with their authors and their content does not necessarily reflect the criteria of the Editorial Committee or the Sociedad Mexicana de Física. The total or partial reproduction of the texts hereby published is authorized as long as the complete source and the electronic address of the publications are cited.

There is no fee for article processing, submission or publication.

Revista Mexicana de Física by Sociedad Mexicana de Física, A. C. is distributed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License