2002/12/31 by J. -G. Luque, J. -Y. Thibon
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.67.042303
published as Physical Review A 67 (2003), 042303, 1-5 · 5 pages, revtex4; some typos corrected
arxiv created 2005/07/07 · arxiv updated 2013/02/12
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,\mathbb C)4. From this description, we obtain a closed formula for the hyperdeterminant in terms of low degree invariants.