The polynomial invariants of four qubits

Details The polynomial invariants of four qubits The polynomial invariants of four qubits

2002-12-11

arxiv.org/abs/quant-ph/0212069v6

Physics

Quantum Physics

5 pages, revtex4; some typos corrected

Scientific paper

10.1103/PhysRevA.67.042303

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.

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