TL;DR
This paper reviews various methods for detecting quantum entanglement, including theoretical tools and experimental implementations, with a focus on entanglement witnesses and their practical applications.
Contribution
It provides a comprehensive overview of entanglement detection techniques, emphasizing the theory and experimental use of entanglement witnesses.
Findings
Entanglement witnesses are effective for verifying entanglement.
Several experiments successfully implemented detection methods.
Different criteria like Bell inequalities and spin squeezing are discussed.
Abstract
How can one prove that a given state is entangled? In this paper we review different methods that have been proposed for entanglement detection. We first explain the basic elements of entanglement theory for two or more particles and then entanglement verification procedures such as Bell inequalities, entanglement witnesses, the determination of nonlinear properties of a quantum state via measurements on several copies, and spin squeezing inequalities. An emphasis is given on the theory and application of entanglement witnesses. We also discuss several experiments, where some of the presented methods have been implemented.
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