Teleportation-Induced Correlated Quantum Channels

TL;DR

This paper characterizes correlated quantum channels generated by teleportation using general entangled resources, linking their properties to many-body correlations and extending the framework to continuous variables for assessing quantum communication reliability.

Contribution

It introduces a novel representation of correlated quantum channels via many-body correlation functions and generalizes the model to continuous variables.

Findings

Correlated channels can be characterized by many-body correlations.

The model applies to continuous variable systems.

Entanglement properties determine channel reliability.

Abstract

Quantum teleportation of a n-qubit state performed using as entangled resource a general bipartite state of 2n qubits instead of n Bell states is equivalent to a correlated Pauli channel. This provides a new characterization of such channels in terms of many-body correlation functions of the teleporting media. Our model is then generalized to the Continuous Variable case. We show that this new representation provides a relatively simple method for determining whether a correlated quantum channel is able to reliably convey quantum messages by studying the entanglement properties of the teleportation mediating system.