,
Lukong Cornelius Fai,
Nguenang Jean Pierre,
Jules Carsimir Ngana,
Ateuafack Mathurin,
Georges Collince Fouokeng
We revisit the teleportation of two qubits entanglement using a single channel made of a single Majorana wire connecting two pairs of qubits each at the sending and receiving ends of the wire. The scheme is different from that use in our early work (Phys. Scr. 95 035803 (2020)) where the two qubit teleportation required two copies of the Majorana wires setup as required to implement the Lee and Kim teleportation scheme. The two pairs of qubit interact via the exchange coupling. It is in this setting that we investigate the role of the exchange coupling, the channel parameters, the spin chain parameters on the average fidelity of entanglement teleportation. We equally consider the fact that the geographically located two pairs of qubits interact differently with their respective spin chain environment. The dynamics of the average fidelity is shown to be enhanced when using a set-up with symmetric coupling between qubits and Majorana wire at both ends as compared to when using asymmetric coupling. Small values of the coupling between the qubits and spin environments should however be used. Large values of the exchange coupling between qubits in the two sub-systems should be used to have high fidelity of the teleported state. The dynamics of the average fidelity of entanglement teleportation is seen to depend on the size of the spin environment as compared to the teleportation protocol used in our earlier work where the dynamics is mildly sensitive to the size of the spin environment. Increasing the strength of the transverse magnetic field and large values of the anisotropy degree enhances the average fidelity of entanglement teleportation. The same observation is seen when considering the same values of the coupling between the two qubits sub-systems at the opposite ends of the Majorana wire and their respective spin environment. The dynamics of the system is however seen to observe almost a similar trend as that of the above cited work for the single Majorana wire setup.
| Published in | American Journal of Modern Physics (Volume 14, Issue 5) |
| DOI | 10.11648/j.ajmp.20251405.12 |
| Page(s) | 222-233 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Spin Chain Environment, Qubits, Single Majorana Wire, Entanglement Teleportation, Average Fidelity
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APA Style
Afuoti, N. E., Fai, L. C., Pierre, N. J., Ngana, J. C., Mathurin, A., et al. (2025). Average Fidelity of Two Qubits Entanglement Teleportation Mediated Via a Single Majorana Wire. American Journal of Modern Physics, 14(5), 222-233. https://doi.org/10.11648/j.ajmp.20251405.12
ACS Style
Afuoti, N. E.; Fai, L. C.; Pierre, N. J.; Ngana, J. C.; Mathurin, A., et al. Average Fidelity of Two Qubits Entanglement Teleportation Mediated Via a Single Majorana Wire. Am. J. Mod. Phys. 2025, 14(5), 222-233. doi: 10.11648/j.ajmp.20251405.12
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Download@article{10.11648/j.ajmp.20251405.12,
author = {Ngwa Engelbert Afuoti and Lukong Cornelius Fai and Nguenang Jean Pierre and Jules Carsimir Ngana and Ateuafack Mathurin and Georges Collince Fouokeng},
title = {Average Fidelity of Two Qubits Entanglement Teleportation Mediated Via a Single Majorana Wire
},
journal = {American Journal of Modern Physics},
volume = {14},
number = {5},
pages = {222-233},
doi = {10.11648/j.ajmp.20251405.12},
url = {https://doi.org/10.11648/j.ajmp.20251405.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20251405.12},
abstract = {We revisit the teleportation of two qubits entanglement using a single channel made of a single Majorana wire connecting two pairs of qubits each at the sending and receiving ends of the wire. The scheme is different from that use in our early work (Phys. Scr. 95 035803 (2020)) where the two qubit teleportation required two copies of the Majorana wires setup as required to implement the Lee and Kim teleportation scheme. The two pairs of qubit interact via the exchange coupling. It is in this setting that we investigate the role of the exchange coupling, the channel parameters, the spin chain parameters on the average fidelity of entanglement teleportation. We equally consider the fact that the geographically located two pairs of qubits interact differently with their respective spin chain environment. The dynamics of the average fidelity is shown to be enhanced when using a set-up with symmetric coupling between qubits and Majorana wire at both ends as compared to when using asymmetric coupling. Small values of the coupling between the qubits and spin environments should however be used. Large values of the exchange coupling between qubits in the two sub-systems should be used to have high fidelity of the teleported state. The dynamics of the average fidelity of entanglement teleportation is seen to depend on the size of the spin environment as compared to the teleportation protocol used in our earlier work where the dynamics is mildly sensitive to the size of the spin environment. Increasing the strength of the transverse magnetic field and large values of the anisotropy degree enhances the average fidelity of entanglement teleportation. The same observation is seen when considering the same values of the coupling between the two qubits sub-systems at the opposite ends of the Majorana wire and their respective spin environment. The dynamics of the system is however seen to observe almost a similar trend as that of the above cited work for the single Majorana wire setup.
},
year = {2025}
}
TY - JOUR T1 - Average Fidelity of Two Qubits Entanglement Teleportation Mediated Via a Single Majorana Wire AU - Ngwa Engelbert Afuoti AU - Lukong Cornelius Fai AU - Nguenang Jean Pierre AU - Jules Carsimir Ngana AU - Ateuafack Mathurin AU - Georges Collince Fouokeng Y1 - 2025/10/27 PY - 2025 N1 - https://doi.org/10.11648/j.ajmp.20251405.12 DO - 10.11648/j.ajmp.20251405.12 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 222 EP - 233 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20251405.12 AB - We revisit the teleportation of two qubits entanglement using a single channel made of a single Majorana wire connecting two pairs of qubits each at the sending and receiving ends of the wire. The scheme is different from that use in our early work (Phys. Scr. 95 035803 (2020)) where the two qubit teleportation required two copies of the Majorana wires setup as required to implement the Lee and Kim teleportation scheme. The two pairs of qubit interact via the exchange coupling. It is in this setting that we investigate the role of the exchange coupling, the channel parameters, the spin chain parameters on the average fidelity of entanglement teleportation. We equally consider the fact that the geographically located two pairs of qubits interact differently with their respective spin chain environment. The dynamics of the average fidelity is shown to be enhanced when using a set-up with symmetric coupling between qubits and Majorana wire at both ends as compared to when using asymmetric coupling. Small values of the coupling between the qubits and spin environments should however be used. Large values of the exchange coupling between qubits in the two sub-systems should be used to have high fidelity of the teleported state. The dynamics of the average fidelity of entanglement teleportation is seen to depend on the size of the spin environment as compared to the teleportation protocol used in our earlier work where the dynamics is mildly sensitive to the size of the spin environment. Increasing the strength of the transverse magnetic field and large values of the anisotropy degree enhances the average fidelity of entanglement teleportation. The same observation is seen when considering the same values of the coupling between the two qubits sub-systems at the opposite ends of the Majorana wire and their respective spin environment. The dynamics of the system is however seen to observe almost a similar trend as that of the above cited work for the single Majorana wire setup. VL - 14 IS - 5 ER -
Department of Energy and Thermal Engineering, University of Douala, Douala, Cameroon
Department of Physics, University of Dschang, Dschang, Cameroon
Department of Physics, University of Douala, Douala, Cameroon
Department of Physics, University of Buea, Buea, Cameroon
Department of Electrical and Electronic Engineering, Univesity of Buea, Buea, Cameroon
Department of Physics, University of Dschang, Dschang, Cameroon
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