Distinguishing degenerate families under SLOCC for pure $N$-qubit states

Details Distinguishing degenerate families under SLOCC for pure $N$-qubit states Distinguishing degenerate families under SLOCC for pure $N$-qubit states

2012-01-11

arxiv.org/abs/1201.2229v1

Physics

Quantum Physics

five pages, no figure, submitted to a journal

Scientific paper

We determine SLOCC equivalence for $n$-qubit pure states in terms of the
ranks of coefficient matrices associated with the states. The ranks are
invariant under SLOCC and give rise to a simple way of distinguishing all the
degenerate families under SLOCC. In addition, we show that the ranks of all
reduced density matrices are invariant under SLOCC.

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