Entanglement Classification of Four-partite States under the SLOCC

Abstract

We present a practical classification scheme for the four-partite entangled states under stochastic local operations and classical communication (SLOCC). By transforming a four-partite state into a triple-state set composed of two tripartite and one bipartite states, the entanglement classification is reduced to the classification of tripartite and bipartite entanglements. This reduction method has the merit of involving only the linear constrains, and meanwhile providing an insight into the entanglement character of the subsystems.

17 pages, 1 figure; published in J. Phys. A: Math. Theor

References in corpus (2)

• Multipartite entanglement in four-qubit cluster-class states
• Criterion for SLOCC Equivalence of Multipartite Quantum States

Cited by in corpus (5)

• Quantum State Concentration and Classification of Multipartite Entanglement
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
• Classification witness operator for the classification of different subclasses of three-qubit GHZ class
• Classification of three-qubit genuine entangled states using concurrence fill