Generation of entangled channels for perfect teleportation channels using multi-electron quantum dots

TL;DR

This paper proposes a scheme using multi-electron quantum dots to generate entangled $N$-qubit states capable of perfect teleportation, highlighting the role of exchange interaction and environmental effects on fidelity.

Contribution

It introduces a method to generate $N$-qubit entangled states for perfect teleportation using quantum dots and analyzes the impact of nuclear spin environment on fidelity.

Findings

Periodic generation of desired entangled states via exchange interaction

Existence of a specific time for perfect teleportation in the large N limit

Nuclear spin environment affects teleportation fidelity

Abstract

In this work we have proposed a scheme for generating $N$ qubit entangled states which can teleport an unknown state perfectly. By switching on the exchange interaction ($J$) between the qubits one can get the desired states periodically. A multi electron quantum dot can be a possible realization for generating such $N$ qubit states with high fidelity. In the limit of $N \to \infty$, there exists a unique time $t=\frac{1}{J}\cos^{-1}(-1/8)$ where the Hamiltonian dynamics gives the $N$ qubit state that can assist perfect teleportation. We have also discussed the effect of the nuclear spin environment on the fidelity of teleportation for a general $N$ qubit entangled channel.