Entanglement monotones for multi-qubit states based on geometric invariant theory

Abstract

We construct entanglement monotones for multi-qubit states based on Plücker coordinate equations of Grassmann variety, which are central notion in geometric invariant theory. As an illustrative example, we in details investigate entanglement monotones of a three-qubit state.

6 pages

References in corpus (5)

• Geometric Quantum Mechanics
• Normal forms and entanglement measures for multipartite quantum states
• Classification of multipartite entangled states by multidimensional determinants
• The geometry of entanglement: metrics, connections and the geometric phase
• On the geometry of a class of N-qubit entanglement monotones

Cited by in corpus (3)

• Entanglement invariant for the double Jaynes-Cummings model
• Negativity Fonts, multiqubit invariants and Four qubit Maximally Entangled States
• A class of entanglement monotones for general pure multipartite states based on complex projective variety