Comparing different modes of quantum state transfer in a XXZ spin chain

TL;DR

This paper compares two quantum state transfer methods in a spin-1/2 XXZ chain, highlighting their performance differences under various conditions and the impact of environmental factors.

Contribution

It introduces a comparison between attaching and measurement-induced transport modes in XXZ chains, emphasizing the conditions where each method excels.

Findings

Measurement-induced transport outperforms attaching near the Heisenberg point.

Fidelity differences diminish in the free fermionic XX phase.

Measurement scheme is more robust at low temperatures and weak environmental interactions.

Abstract

We study the information transferring ability of a spin-1/2 XXZ Hamiltonian for two different modes of state transfer, namely, the well studied attaching scenario and the recently proposed measurement induced transport. The latter one has been inspired by recent achievements in optical lattice experiments for local addressability of individual atoms and their time evolution when only local rotations and measurements are available and local control of the Hamiltonian is very limited. We show that while measurement induced transport gives higher fidelity for quantum state transfer around the isotropic Heisenberg point, its superiority is less pronounced in non-interacting free fermionic XX phase. Moreover, we study the quality of state transfer in the presence of thermal fluctuations and environmental interactions and show that measurement scheme gives higher fidelity for low temperatures and weak interaction with environment.