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

TL;DR

This paper proposes a deterministic scheme for teleporting a single qutrit using maximally entangled two-qutrit states constructed from symmetric and anti-symmetric bases, extending quantum teleportation beyond qubits.

Contribution

It introduces a new protocol utilizing LDL's symmetric-anti-symmetric two-qutrit entangled states for perfect qutrit teleportation, with explicit unitary operations for the receiver.

Findings

Achieves unit fidelity in qutrit teleportation

Utilizes structured entangled states for higher-dimensional quantum communication

Extends teleportation protocols to three-level quantum systems

Abstract

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.