Measurement-based quantum state transfer and restoring via spin-1/2 chain interacting with environment

TL;DR

This paper investigates probabilistic quantum state transfer along a spin-1/2 chain with environmental interactions, employing measurement and restoring techniques to improve transfer fidelity.

Contribution

It introduces a state restoring algorithm using Kraus operators and measurements, enabling probabilistic perfect state transfer in a spin chain with environmental effects.

Findings

Transferred state appears in superposition with mixed state, which diminishes with less environmental interaction.

The method achieves probabilistic perfect state transfer under certain conditions.

Robustness of the transfer process against perturbations in Kraus operators is demonstrated.

Abstract

We consider the multi-qubit fixed-excitation state transfer along the spin chain with dipole-dipole interaction subjected to the interaction with environment governed by the Lindblad equation preserving the excitation number during spin-evolution. The state transfer algorithm includes the state restoring via Kraus operators and ancilla measurement. As a result, the transferred state appears in superposition with completely mixed state, the latter disappears with vanishing interaction with environment. In that case we deal with probabilistic perfect state transfer. Example of an arbitrary multi-qubit one-excitation state transfer is present and its robustness with respect to perturbation of the Kraus operators is studied.