Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC

Abstract

We classify biqutrit and triqutrit pure states under stochastic local operations and classical communication. By investigating the right singular vector spaces of the coefficient matrices of the states, we obtain explicitly two equivalent classes of biqutrit states and twelve equivalent classes of triqutrit states respectively.

10 pages

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Cited by in corpus (3)

• An Algebraic-Geometric Characterization of Tripartite Entanglement
• Graphical Classification of Entangled Qutrits
• Classifying Entanglement by Algebraic Geometry