Udaysinh T. Bhosale, K. V. Shuddhodan, Arul Lakshminarayan
Motivated by link-transformations of lattice gauge theory, a method for generating local unitary invariants, especially for a system of qubits, has been pointed out in an earlier work [M. S. Williamson et. al., Phys. Rev. A 83, 062308 (2011)]. The current work first points the equivalence of the so constructed transformations to the combined operations of partial transpose and realignment. This allows for a natural generalization to any system, with subsystems of arbitrary dimensions, in a straightforward manner and is shown to indeed generate local unitary invariants. Some properties of the resulting operators and simple consequences for tripartite higher imensional states are briefly discussed.
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http://arxiv.org/abs/1301.4082
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