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Unlike bosons, fermions always have a non-trivial entanglement. Intuitively,Slater determinantal states should be the least entangled states. To make thisintuition precise we investigate entropy and entanglement of fermionic statesand prove some extremal and near extremal properties of reduced densitymatrices of Slater determinantal states.

Entropy and entanglement bounds for reduced density matrices of fermionic states