Direct-dynamical entanglement-discord relations

TL;DR

This paper investigates how entanglement and discord evolve over time in two-qubit systems subjected to various noise channels, revealing simple relations between their geometric measures in a specific scenario.

Contribution

It establishes direct-dynamical relations between geometric measures of entanglement and discord for Bell-diagonal states under common noise channels.

Findings

Identifies elegant relations between entanglement and discord measures

Shows complexity increases in more general cases

Focuses on Bell-diagonal two-qubit states under local noise

Abstract

In this article, by considering Bell-diagonal two-qubit initial states submitted to local dynamics generated by the phase damping, bit flip, phase flip, bit-phase flip, and depolarizing channels, we report some elegant direct-dynamical relations between geometric measures of entanglement and discord. The complex scenario appearing already in this simplified case study indicates that similarly simple relation shall hardly be found in more general situations.