Entanglement evolution of two qubits under noisy environments

TL;DR

This paper studies how entanglement between two qubits evolves under noisy environments, revealing that one-sided noise is characterized by trace distance and that two-sided noise affects entanglement based on initial states and channel actions.

Contribution

It provides a unified description of entanglement dynamics under different noisy channels, linking entanglement evolution to trace distance and channel effects on maximally entangled states.

Findings

Entanglement under one-sided noise is determined by maximal trace distance.

Entanglement under two-sided noise can be expressed as initial entanglement times channel effects.

The evolution depends on the initial state and the nature of the noise channels.

Abstract

The entanglement evolution of two qubits under local, single- and two- sided noisy channels is investigated. It is found that for all pure initial states, the entanglement under a one-sided noisy channel is completely determined by the maximal trace distance which is the main element to construct the measure of non-Markovianity. For the two-sided noisy channel case, when the qubits are initially prepared in a general class of states, no matter pure or mixed, the entanglement can be expressed as the products of initial entanglement and the channels' action on the maximally entangled state.