Teleporting single qutrit using symmetric-anti symmetric two-qutrit basis states as quantum channels

Fuente: arXiv
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Main Authors: Pandey, Anushree, Mandal, Abhijit, Roy, Sovik
Format: Preprint
Published: 2015
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author Pandey, Anushree
Mandal, Abhijit
Roy, Sovik
author_facet Pandey, Anushree
Mandal, Abhijit
Roy, Sovik
contents This work presents a deterministic scheme for the teleportation of a single qutrit state, held by the sender Alice, using maximally entangled two-qutrit states as resource channels. These states have been constructed from symmetric and anti-symmetric bases by Leslie, Devin and Lynn (LDL). Leveraging the higher information capacity of qutrits compared to qubits, we employ these nine distinct two-qutrit entangled channels by LDL, for our protocol. For each channel, explicit unitary operations at the receiver Bob's end are derived, ensuring perfect recovery of the unknown qutrit state, initially in possesion of the sender Alice, after the sender performs joint measurements on her qutrits and communicates the outcomes through a classical channel. The proposed framework confirms teleportation with unit fidelity, thereby extending conventional teleportation schemes beyond qubits into higher-dimensional systems. This not only enriches the available toolkit for quantum communication but also highlights the utility of structured entangled states in advancing quantum information processing. The results open new avenues for secure and efficient quantum networks, higher-dimensional cryptographic schemes, and the design of novel quantum algorithms, while laying the groundwork for experimental realizations of deterministic qutrit teleportation.
format Preprint
id arxiv_https___arxiv_org_abs_1508_00238
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle Teleporting single qutrit using symmetric-anti symmetric two-qutrit basis states as quantum channels
Pandey, Anushree
Mandal, Abhijit
Roy, Sovik
Quantum Physics
This work presents a deterministic scheme for the teleportation of a single qutrit state, held by the sender Alice, using maximally entangled two-qutrit states as resource channels. These states have been constructed from symmetric and anti-symmetric bases by Leslie, Devin and Lynn (LDL). Leveraging the higher information capacity of qutrits compared to qubits, we employ these nine distinct two-qutrit entangled channels by LDL, for our protocol. For each channel, explicit unitary operations at the receiver Bob's end are derived, ensuring perfect recovery of the unknown qutrit state, initially in possesion of the sender Alice, after the sender performs joint measurements on her qutrits and communicates the outcomes through a classical channel. The proposed framework confirms teleportation with unit fidelity, thereby extending conventional teleportation schemes beyond qubits into higher-dimensional systems. This not only enriches the available toolkit for quantum communication but also highlights the utility of structured entangled states in advancing quantum information processing. The results open new avenues for secure and efficient quantum networks, higher-dimensional cryptographic schemes, and the design of novel quantum algorithms, while laying the groundwork for experimental realizations of deterministic qutrit teleportation.
title Teleporting single qutrit using symmetric-anti symmetric two-qutrit basis states as quantum channels
topic Quantum Physics
url https://arxiv.org/abs/1508.00238