The Criteria for Quantum Teleportation of an Arbitrary Two-Qubit State Information Based on The Channel Matrices

TL;DR

This paper introduces a criterion based on channel matrices derived from reduced density matrices to determine the capability of a quantum channel to teleport arbitrary two-qubit states, focusing on four-qubit channels.

Contribution

It presents a novel criterion using channel matrices for assessing the teleportation ability of quantum channels, specifically for four-qubit channels.

Findings

Four-qubit channels can teleport arbitrary two-qubit states if the channel matrix rank is four.

Channel matrices are effective in evaluating the teleportation potential of quantum channels.

The proposed criterion provides a clear condition for successful quantum teleportation.

Abstract

We propose channel matrices by using unfolding matrices from their reduced density matrices. These channel matrices can be a criterion for a channel whether the channel can teleport or not any qubit state. We consider a special case, teleportation of the arbitrary two-qubit state by using the four-qubit channel. The four-qubit channel can only teleport if the rank of the related channel matrix is four.