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All degree six local unitary invariants of k qudits

Published 16 May 2011 in quant-ph, math-ph, and math.MP | (1105.3086v3)

Abstract: 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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