Abstract mathematical definition for the case of K-partite quantum state ρ can be formulated as
ρ ↦ ρ′ = Λ(ρ) = ∑k = 1NAkρAk † , with operators Ak satisfying followimg conditions:
∑k = 1NAk † Ak = I
Ak = ⊗ l = 1KAkl
LOCC operations are subclass of separable operations.
Separable operations play a big role in state distinguishability and state discrimination.
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- R. Duan, Y. Feng, Y. Xin, M. Ying, arXiv:0705.0795 [quant-ph]