Classification of quantum states through conserved operators

This work develops a general framework using conserved operators (COs) to classify quantum states based on whether they can be interconverted via allowed transformations (SLOCC). It shows that COs, combined with rank-based operators, provide the most refined classification for $n=5$ and $n=6$ qubits, yielding 287 fixed types and 4926 fixed types respectively.

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