Multipartite entanglement

Abstract

In this contribution we present a concise introduction to quantum entanglement in multipartite systems. After a brief comparison between bipartite systems and the simplest non-trivial multipartite scenario involving three parties, we review mathematically rigorous definitions of separability and entanglement between several subsystems, as well as their transformations and measures.

arXiv commentMultipartite Entanglement will be a chapter in Encyclopedia of Mathematical Physics 2nd edition

Cited by in corpus (8)

• Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
• Efficient quantum algorithms for $GHZ$ and $W$ states, and implementation on the IBM quantum computer
• Growth of genuine multipartite entanglement in random unitary circuits
• Multi-partite analysis of average-subsystem entropies
• Necessary and sufficient product criteria for quantum states via the rank of realignment matrix of density matrix
• There exist infinitely many kinds of partial separability/entanglement
• Dicke subsystems are entangled
• Characterization of multiqubit pure-state entanglement