English

The polynomial invariants of four qubits

Quantum Physics 2013-02-12 v6

Abstract

We describe explicitly the algebra of polynomial functions on the Hilbert space of four qubit states which are invariant under the SLOCC group SL(2,C)4SL(2,{\mathbb C})^{4}. From this description, we obtain a closed formula for the hyperdeterminant in terms of low degree invariants.

Keywords

Cite

@article{arxiv.quant-ph/0212069,
  title  = {The polynomial invariants of four qubits},
  author = {J. -G. Luque and J. -Y. Thibon},
  journal= {arXiv preprint arXiv:quant-ph/0212069},
  year   = {2013}
}

Comments

5 pages, revtex4; some typos corrected

R2 v1 2026-07-22T19:37:32.786Z