Entanglement Classification via Single Entanglement Measure

• URL: http://arxiv.org/abs/2106.00850v3
• Date: Thu, 4 Apr 2024 08:58:23 GMT
• Title: Entanglement Classification via Single Entanglement Measure
• Authors: Adam Burchardt, Gonçalo M. Quinta, Rui André,
• Abstract summary: We show that a single entanglement measure is enough to verify equivalence between generic $n$-qubit states under Local Operations with Classical Communication. We propose a method to obtain the normal form of a 4-qubit state which bypasses the possibly infinite iterative procedure.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that a single polynomial entanglement measure is enough to verify equivalence between generic $n$-qubit states under Stochastic Local Operations with Classical Communication (SLOCC). SLOCC operations may be represented geometrically by M\"obius transformations on the roots of the entanglement measure on the Bloch sphere. Moreover, we show how the roots of the 3-tangle measure classify 4-qubit generic states, and propose a method to obtain the normal form of a 4-qubit state which bypasses the possibly infinite iterative procedure.

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