To characterize entanglement of tripartite systems, we employ algebraic-geometric tools that are invariants under stochastic local operation and classical communication, namely -secant varieties and one-multilinear ranks. Indeed, by means of them, we present a classification of tripartite pure states in terms of a finite number of families and subfamilies. At the core of it stands out a fine-structure grouping of three-qutrit entanglement.

Algebraic-geometric characterization of tripartite entanglement

Mancini S.
2021-01-01

Abstract

To characterize entanglement of tripartite systems, we employ algebraic-geometric tools that are invariants under stochastic local operation and classical communication, namely -secant varieties and one-multilinear ranks. Indeed, by means of them, we present a classification of tripartite pure states in terms of a finite number of families and subfamilies. At the core of it stands out a fine-structure grouping of three-qutrit entanglement.
2021
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/454652
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