A bipartite class of entanglement monotones for N-qubit pure states

Abstract

We construct a class of algebraic invariants for N-qubit pure states based on bipartite decompositions of the system. We show that they are entanglement monotones, and that they differ from the well know linear entropies of the sub-systems. They therefore capture new information on the non-local properties of multipartite systems.

6 pages

References in corpus (3)

• The polynomial invariants of four qubits
• A complete set of covariants of the four qubit system
• Relation between entanglement measures and Bell inequalities for three qubits

Cited by in corpus (11)

• Quantifying entanglement resources
• Entanglement and Entropy in a Spin-Boson Quantum Phase Transition
• On the geometry of four qubit invariants
• Probability density function characterization of multipartite entanglement
• On the geometry of a class of N-qubit entanglement monotones
• Statistical mechanics of multipartite entanglement
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement
• Many-particle entanglement criterion for superradiant-like states
• Nilpotent polynomials approach to four-qubit entanglement
• Geometric multipartite entanglement measures
• A class of entanglement monotones for general pure multipartite states based on complex projective variety