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Lower bound on entanglement in subspaces defined by Young diagrams

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Eigenvalues of 1-particle reduced density matrices of $N$-fermion states are upper bounded by $1/N$, resulting in a lower bound on entanglement entropy. We generalize these bounds to all other subspaces… Click to show full abstract

Eigenvalues of 1-particle reduced density matrices of $N$-fermion states are upper bounded by $1/N$, resulting in a lower bound on entanglement entropy. We generalize these bounds to all other subspaces defined by Young diagrams in the Schur-Weyl decomposition of $\otimes^N\mathbb{C}^d$.

Keywords: bound entanglement; defined young; lower bound; subspaces defined; young diagrams

Journal Title: Journal of Mathematical Physics
Year Published: 2019

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