On the separability of unitarily invariant random quantum states - the unbalanced regime

  title={On the separability of unitarily invariant random quantum states - the unbalanced regime},
  author={Ion Nechita},
  journal={arXiv: Mathematical Physics},
  • I. Nechita
  • Published 31 January 2018
  • Physics, Mathematics
  • arXiv: Mathematical Physics
We study entanglement-related properties of random quantum states which are unitarily invariant, in the sense that their distribution is left unchanged by conjugation with arbitrary unitary operators. In the large matrix size limit, the distribution of these random quantum states is characterized by their limiting spectrum, a compactly supported probability distribution. We prove several results characterizing entanglement and the PPT property of random bipartite unitarily invariant quantum… Expand
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