English

One-qubit reduced states of a pure many-qubit state: polygon inequalities

Quantum Physics 2016-09-08 v2

Abstract

We show that a necessary and sufficient condition for a set of nn one-qubit mixed states to be the reduced states of a pure nn-qubit state is that their smaller eigenvalues should satisfy polygon inequalities: no one of them can exceed the sum of the others.

Keywords

Cite

@article{arxiv.quant-ph/0209085,
  title  = {One-qubit reduced states of a pure many-qubit state: polygon inequalities},
  author = {A. Higuchi and A. Sudbery and J. Szulc},
  journal= {arXiv preprint arXiv:quant-ph/0209085},
  year   = {2016}
}

Comments

Contains some further discussion of the results. Published version