Physics – Quantum Physics
Scientific paper
2006-04-27
Physics
Quantum Physics
19 pages, 1 figure
Scientific paper
We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this way are explicited and compared to various known entanglement measures. Complete sets of generators are obtained for up to four qubits, and the structure of the invariant algebras is discussed in detail.
Luque Jean-Gabriel
Thibon Jean-Yves
Toumazet Frederic
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