Quantum State Concentration and Classification of Multipartite Entanglement

TL;DR

This paper introduces a quantum state concentration method that simplifies the analysis of multipartite entanglement by decomposing it into bipartite and tripartite states, aiding in understanding complex quantum systems.

Contribution

The paper presents a novel scheme to decompose multipartite entangled states into simpler bipartite and tripartite states, reducing complexity in entanglement analysis.

Findings

Transforms complex multipartite entanglement into high-dimensional bipartite and tripartite states

Simplifies verification of entanglement equivalence and inequivalence

Provides insights into quantum many-body problems involving entanglement

Abstract

Entanglement is a unique nature of quantum theory and has tremendous potential for application. Nevertheless, the complexity of quantum entanglement grows exponentially with an increase in the number of entangled particles. Here we introduce a quantum state concentration scheme which decomposes the multipartite entangled state into a set of bipartite and tripartite entangled states. It is shown that the complexity of the entanglement induced by the large number of particles is transformed into the high dimensions of bipartite and tripartite entangled states for pure quantum systems. The results not only simplify the tedious work of verifying the (in)equivalence of multipartite entangled states, but also are instructive to the quantum many-body problem involving multipartite entanglement.