Multiqubit entanglement witness

TL;DR

This paper presents a practical method for constructing entanglement witnesses capable of detecting genuine multiqubit entanglement, applicable to pure, symmetric, and mixed states, with potential experimental relevance.

Contribution

A new feasible approach for designing entanglement witnesses that effectively detect genuine multiqubit entanglement in various states.

Findings

Constructed effective witnesses for experimentally relevant states

Demonstrated detection of entanglement in symmetric and mixed states

Applicable to both theoretical analysis and experimental setups

Abstract

We introduce a feasible method of constructing the entanglement witness that detects the genuine entanglement of a given pure multiqubit state. We illustrate our method in the scenario of constructing the witnesses for the multiqubit states that are broadly theoretically and experimentally investigated. It is shown that our method can construct the effective witnesses for experiments. We also investigate the entanglement detection of symmetric states and mixed states.