# Freezing dynamics of genuine entanglement and loss of genuine nonlocality under collective dephasing

## TL;DR

This paper investigates how genuine multipartite entanglement persists or diminishes under collective dephasing, revealing phenomena like freezing dynamics and the loss of genuine nonlocality over time.

## Contribution

It demonstrates the freezing behavior of genuine entanglement in multi-qubit systems and analyzes the loss of nonlocality despite persistent entanglement under collective dephasing.

## Key findings

- Genuine entanglement exhibits freezing dynamics in three and four qubits.
- Most states show this freezing behavior.
- Genuine nonlocality is lost in finite time despite entanglement remaining.

## Abstract

We study the dynamics of genuine multipartite entanglement for quantum systems upto four qubits interacting with general collective dephasing process. Using a computable entanglement monotone for multipartite systems, we observe the feature of freezing dynamics of genuine entanglement for three and four qubits entangled states. We compare the dynamics with that of random states and find that most states exibit this feature. We then study the effects of collective dephasing on genuine nonlocality and find out that although quantum states remain genuinely entangled yet their genuine nonlocality is lost in a finite time. We show the sensitivity of asymptotic states being genuinely entangled by mixing white noise.