Quantum teleportation and dynamics of quantum coherence and metrological non-classical correlations for open two-qubit systems: A study of Markovian and non-Markovian regimes

TL;DR

This paper studies how quantum coherence and correlations evolve in open two-qubit systems under different environmental conditions, and proposes a quantum teleportation protocol based on these dynamics, highlighting the effects of initial purity and environment type.

Contribution

It introduces a detailed analysis of quantum coherence and correlations in open two-qubit systems under Markovian and non-Markovian regimes, and develops a quantum teleportation strategy utilizing these findings.

Findings

Higher initial purity enhances quantum correlations and coherence.

Non-Markovian environments can preserve quantum features longer.

The proposed teleportation protocol's efficiency depends on initial state purity and environment type.

Abstract

We investigate the dynamics of non-classical correlations and quantum coherence in open quantum systems by employing metrics like local quantum Fisher information, local quantum uncertainty, and quantum Jensen-Shannon divergence. Our focus here is on a system of two qubits in two distinct physical situations: the first one when the two qubits are coupled to a single-mode cavity, while the second consists of two qubits immersed in dephasing reservoirs. Our study places significant emphasis on how the evolution of these quantum criterion is influenced by the initial state's purity (whether pure or mixed) and the nature of the environment (whether Markovian or non-Markovian). We observe that a decrease in the initial state's purity corresponds to a reduction in both quantum correlations and quantum coherence, whereas higher purity enhances these quantumness. Furthermore, we establish a quantum teleportation strategy based on the two different physical scenarios. In this approach, the resulting state of the two qubits functions as a quantum channel integrated into a quantum teleportation protocol. We also analyze how the purity of the initial state and the Markovian or non-Markovian regimes impact the quantum teleportation process.