Teleportation of qubit states through dissipative channels: Conditions for surpassing the no-cloning limit

TL;DR

This paper analyzes how dissipative channels affect quantum teleportation fidelity, establishing conditions under which teleportation surpasses the no-cloning limit by considering damping effects, initial entanglement, and channel information.

Contribution

It derives bounds on damping rates for successful teleportation exceeding classical and cloning limits, incorporating channel characteristics and initial entanglement.

Findings

Teleportation fidelity depends on damping rates and channel type.

Bounds on damping rates are established for surpassing classical and cloning fidelity.

Prior knowledge of channel and state range improves teleportation success evaluation.

Abstract

We investigate quantum teleportation through dissipative channels and calculate teleportation fidelity as a function of damping rates. It is found that the average fidelity of teleportation and the range of states to be teleported depend on the type and rate of the damping in the channel. Using the fully entangled fraction, we derive two bounds on the damping rates of the channels: one is to beat the classical limit and the second is to guarantee the non-existence of any other copy with better fidelity. Effect of the initially distributed maximally entangled state on the process is presented; and the concurrence and the fully entangled fraction of the shared states are discussed. We intend to show that prior information on the dissipative channel and the range of qubit states to be teleported is helpful for the evaluation of the success of teleportation, where success is defined as surpassing the fidelity limit imposed by the fidelity of 1-to-2 optimal cloning machine for the specific range of qubits.