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Lower bound on entanglement in subspaces defined by Young diagrams

Quantum Physics 2019-01-30 v2 Mathematical Physics math.MP

Abstract

Eigenvalues of 1-particle reduced density matrices of NN-fermion states are upper bounded by 1/N1/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 NCd\otimes^N\mathbb{C}^d.

Keywords

Cite

@article{arxiv.1805.00364,
  title  = {Lower bound on entanglement in subspaces defined by Young diagrams},
  author = {Robin Reuvers},
  journal= {arXiv preprint arXiv:1805.00364},
  year   = {2019}
}

Comments

Published version, 21 pages

R2 v1 2026-06-23T01:41:39.407Z