Entanglement of one-magnon Schur-Weyl states
Pawel Jakubczyk, Yevgen Kravets, and Dorota Jakubczyk

TL;DR
This paper explores the entanglement characteristics of Schur-Weyl symmetry states, revealing that their entanglement structure is fully represented by Young tableaux, using reduced two-qubit density matrices and concurrence.
Contribution
It demonstrates that the entanglement structure of Schur-Weyl states can be completely characterized by Young tableaux, linking combinatorial objects to quantum entanglement.
Findings
Entanglement graphs are fully encoded in Young tableaux.
Concurrence effectively measures entanglement in these states.
The approach provides a complete coding of entanglement structures.
Abstract
We investigate the entanglement properties of symmetry states of the Schur-Weyl duality. Our approach based on reduced two-qubit density matrices, and concurrence as the measure of entanglement. We show that all kinds of entangled graphs, which describe the entanglement structure in Schur-Weyl states are completely coded in the corresponding Young tableau.
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