For eight qubits, the maximum number of maximally mixed four-party reductions is exactly 56, and general upper and lower bounds on this number follow from Turán-type combinatorial arguments.
Entanglement in many-body systems,
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Extremal Maximal Entanglement
For eight qubits, the maximum number of maximally mixed four-party reductions is exactly 56, and general upper and lower bounds on this number follow from Turán-type combinatorial arguments.