English

All degree six local unitary invariants of k qudits

Quantum Physics 2015-03-19 v3 Mathematical Physics math.MP

Abstract

We give explicit index-free formulae for all the degree six (and also degree four and two) algebraically independent local unitary invariant polynomials for finite dimensional k-partite pure and mixed quantum states. We carry out this by the use of graph-technical methods, which provides illustrations for this abstract topic.

Keywords

Cite

@article{arxiv.1105.3086,
  title  = {All degree six local unitary invariants of k qudits},
  author = {Szilárd Szalay},
  journal= {arXiv preprint arXiv:1105.3086},
  year   = {2015}
}

Comments

18 pages, 6 figures, extended version. Comments are welcome