Entanglement of three-qubit geometry

Abstract

Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of geometrical features preferentially selected in the space of pure states. Geometric characterisations are given here for systems of one, two, and three spin-1/2 particles, drawing attention to the classification of quantum states into entanglement types.

6 pages, 4 figures. Based on the talk presented at DICE 2006

References in corpus (4)

• Three qubits can be entangled in two inequivalent ways
• Geometric Quantum Mechanics
• Classification of multipartite entangled states by multidimensional determinants
• The twistor geometry of three-qubit entanglement

Cited by in corpus (13)

• Black Holes, Qubits and Octonions
• Freudenthal triple classification of three-qubit entanglement
• Special entangled quantum systems and the Freudenthal construction
• Geometric descriptions of entangled states by auxiliaries varieties
• Geometric characteristics of quantum evolution: curvature and torsion
• Restricted numerical shadow and geometry of quantum entanglement
• Fine-Structure Classification of Multiqubit Entanglement by Algebraic Geometry
• Entanglement Classification with Algebraic Geometry
• An Algebraic-Geometric Characterization of Tripartite Entanglement
• Geometry of pure states of N spin-J system
• Generalized Weyl-Heisenberg algebra, qudit systems and entanglement measure of symmetric states via spin coherent states
• Classifying Entanglement by Algebraic Geometry
• Constrained quantum dynamics