Bidirectional imperfect quantum teleportation with a single Bell state

TL;DR

This paper introduces a bidirectional quantum teleportation protocol using a single Bell state and auxiliary qubits, analyzing different trigger schemes to surpass classical fidelity limits and exploring their information transfer and entanglement properties.

Contribution

It proposes a novel bidirectional teleportation scheme with trigger-based control, analyzing conditions to exceed classical fidelity and examining channel properties via Choi-Jamiolkowski isomorphism.

Findings

All schemes achieve fidelities above 2/3 under certain conditions.

Correlation between trigger qubits enhances teleportation fidelity.

The scheme is feasible with current experimental technology.

Abstract

We present a bidirectional modification of the standard one-qubit teleportation protocol, where both Alice and Bob transfer noisy versions of their qubit states to each other by using single Bell state and auxiliary (trigger) qubits. Three schemes are considered: the first where the actions of parties are governed by two independent quantum random triggers, the second with single random trigger, and the third as a mixture of the first two. We calculate the fidelities of teleportation for all schemes and find a condition on correlation between trigger qubits in the mixed scheme which allows us to overcome the classical fidelity boundary of 2/3. We apply the Choi-Jamiolkowski isomorphism to the quantum channels obtained in order to investigate an interplay between their ability to transfer the information, entanglement-breaking property, and auxiliary classical communication needed to form correlations between trigger qubits. The suggested scheme for bidirectional teleportation can be realized by using current experimental tools.