Robustness of genuine tripartite entanglement under collective dephasing

TL;DR

This paper investigates how genuine tripartite entanglement in three-qubit systems withstands collective dephasing, revealing that most states remain genuinely entangled despite decoherence effects.

Contribution

It introduces a computable entanglement measure for multipartite systems and demonstrates the robustness of various states under collective dephasing.

Findings

Almost all states are robust under collective dephasing.

Random states and weighted graph states remain genuinely entangled at infinity.

Genuine entanglement persists despite decoherence.

Abstract

We study robustness of genuine multipartite entanglement for a system of three qubits under collective dephasing. Using a computable entanglement monotone for multipartite systems, we found that almost every state is quite robust under this type of decoherence. We analyze random states and weighted graph states at infinity and found all of them to be genuinely entangled.