Optimal 1->M universal quantum cloning via spin networks

TL;DR

This paper proposes a method to optimally clone a single qubit into M copies using the natural evolution of spin star networks with Heisenberg XXZ coupling, including initial state preparation.

Contribution

It introduces a scheme for universal quantum cloning via spin networks, demonstrating optimal fidelity with specific Hamiltonian parameters and initial state preparation.

Findings

Achieves optimal 1->M quantum cloning fidelity

Utilizes Heisenberg XXZ spin network dynamics

Provides a feasible initial state preparation method

Abstract

We present a scheme that transform 1 qubit to M identical copies with optimal fidedelity via free dynamical evolution of spin star networks. We show that the Heisenberg XXZ coupling can fulfill the challenge. The initial state of the copying machine and the parameters of the spin Hamiltonian are discussed in detail. Furthermore we have proposed a feasible method to prepare the initial state of the copying machine.