All degree six local unitary invariants of k qudits

Details All degree six local unitary invariants of k qudits All degree six local unitary invariants of k qudits

2011-05-16

arxiv.org/abs/1105.3086v3

Physics

Quantum Physics

18 pages, 6 figures, extended version. Comments are welcome

Scientific paper

We give explicit index-free formulae for all the degree six (and also degree
four and two) algebraically independent local unitary invariant polynomials for
finite dimensional k-partite pure and mixed quantum states. We carry out this
by the use of graph-technical methods, which provides illustrations for this
abstract topic.

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