Construction of optimal teleportation witness operators from entanglement witnesses

TL;DR

This paper presents a systematic method to construct optimal teleportation witnesses from entanglement witnesses for qudit systems, enhancing the detection of states useful for quantum teleportation.

Contribution

It introduces a general approach to derive optimal teleportation witnesses from entanglement witnesses, applicable to qubits and qutrits, with practical decomposition for experiments.

Findings

Constructed teleportation witnesses are optimal for qubits and qutrits.

Witnesses can detect the largest set of useful teleportation states.

Decomposition facilitates experimental implementation.

Abstract

Teleportation witnesses are hermitian operators which can identify useful entanglement for quantum teleportation. Here we provide a systematic method to construct teleportation witnesses from entanglement witnesses corresponding to general qudit systems. The witnesses so constructed are shown to be optimal for qubit and qutrit systems, and therefore detect the largest set of states useful for teleportation within a given class. We demonstrate the action of the witness pertaining to different classes of states in qubits and qutrits. Decomposition of the witness in terms of spin operators facilitiates experimental identification of useful resources for teleportation.