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arxiv: 1105.3086 · v3 · pith:4M6N5ZCZnew · submitted 2011-05-16 · 🪐 quant-ph · math-ph· math.MP

All degree six local unitary invariants of k qudits

classification 🪐 quant-ph math-phmath.MP
keywords degreelocalunitaryabstractalgebraicallycarrydimensionalexplicit
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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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