A complete set of covariants of the four qubit system
Quantum Physics
2013-02-12 v3
Abstract
We obtain a complete and minimal set of 170 generators for the algebra of -covariants of a binary quadrilinear form. Interpreted in terms of a four qubit system, this describes in particular the algebraic varieties formed by the orbits of local filtering operations in its projective Hilbert space. Also, this sheds some light on the local unitary invariants, and provides all the possible building blocks for the construction of entanglement measures for such a system.
Cite
@article{arxiv.quant-ph/0304026,
title = {A complete set of covariants of the four qubit system},
author = {E. Briand and J. -G. Luque and J. -Y. Thibon},
journal= {arXiv preprint arXiv:quant-ph/0304026},
year = {2013}
}
Comments
14 pages, IOP macros; slightly expanded version