# Memory effects teleportation of quantum Fisher information under decoherence

## TL;DR

This paper explores how memory effects influence the teleportation of quantum Fisher information in qubit systems under various decoherence channels, providing analytical results and comparing single and two-qubit scenarios.

## Contribution

It derives explicit analytical formulas for quantum Fisher information teleportation under decoherence with memory effects, and compares single-qubit and two-qubit systems.

## Key findings

- Memory effects can enhance QFI teleportation fidelity.
- Different decoherence channels show distinct impacts on QFI.
- Analytical expressions enable better understanding of decoherence influence.

## Abstract

We have investigated how memory effects on the teleportation of quantum Fisher information(QFI) for a single qubit system using a class of X-states as resources influenced by decoherence channels with memory, including amplitude damping, phase-damping and depolarizing channels. Resort to the definition of QFI, we first derive the explicit analytical results of teleportation of QFI with respect to weight parameter $\theta$ and phase parameter $\phi$ under the decoherence channels. Component percentages, the teleportation of QFI for a two-qubit entanglement system has also been addressed. The remarkable similarities and differences among these two situations are also analyzed in detail and some significant results are presented.