Quantum Entanglement transfer between spin-pairs

TL;DR

This paper studies how entanglement can be transferred from source particles to target particles via Heisenberg interaction, revealing conditions for achieving maximal entanglement in qubit and qutrit systems.

Contribution

It demonstrates entanglement transfer dynamics for qubits and qutrits and introduces an iterative method to reach maximal entanglement in qutrit systems.

Findings

Maximal entanglement of 1 is achievable for qubits at specific times.

For qutrits, maximal entanglement depends on initial states and is generally less than 1.

Iterative operations can enhance entanglement in qutrit systems.

Abstract

We investigate the transfer of entanglement from source particles (SP) to target particles (TP) in the Heisenberg interaction $ H=\vec s_{1} \cdot \vec s_{2}$. In our research, TP are two qubits and SP are two qubits or qutrits. When TP are two qubits, we find that no matter what state the TP is initially prepared in, at the specific time $t=\pi$, the entanglement of TP can attain to 1 after interaction with SP which stay on the maximally entangled state. For the TP are two qutrits, we find that the maximal entanglement of TP after interaction is relative to the initial state of TP and always cannot attain to 1 to almost all of initial states of TP. But we discuss an iterated operation which can make the TP to the maximal entangled state.