How to find half the local unitary invariants of pure qubit states
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A complete, independent set of local unitary invariants for an nparty system would enable one to characterise all the types of entanglement that could occur in that system. Unfortunately, it is hard to come up with such a set, even for pure qubit states, and this has only been done for n <=4. The number of invariants grows exponentially with n, so the enterprise looks a bit daunting. I will describe a set of 2^n invariants that accounts for about half of them. Furthermore, the set of invariants has a simple hierarchical structure. There is also a hint as to how one might go looking for the other half.
This talk is part of the CQIF Seminar series.
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