Optimal teleportation via thermal entangled states of a two-qubit Heisenberg Chain

TL;DR

This paper investigates how thermal entangled states of a two-qubit Heisenberg XXX chain can be used for optimal quantum teleportation, highlighting the effects of Dzyaloshinsky-Moriya interaction on fidelity.

Contribution

It provides explicit formulas for teleportation fidelity using thermal states with DM interaction and compares performance with standard protocols, demonstrating fidelity enhancement.

Findings

Teleportation fidelity exceeds standard protocol at finite temperatures.

Unit fidelity achieved at zero temperature.

DM interaction improves fidelity at finite temperatures.

Abstract

We study the optimal teleportation based on Bell measurements via the thermal states of a two-qubit Heisenberg XXX chain in the presence of Dzyaloshinsky-Moriya (DM) anisotropic antisymmetric interaction and obtain the optimal unitary transformation. The explicit expressions of the output state and the teleportation fidelity are presented and compared with those of the standard protocol. It is shown that in this protocol the teleportation fidelity is always larger and unit fidelity is achieved at zero temperature. The DM interaction can enhance the teleportation fidelity at finite temperatures, as opposed to the effect of the interaction in the standard protocol. Cases with other types of anisotropies are also discussed.