Chain Rule for Tripartite Sample Clauses

Chain Rule for Tripartite. Conditional Total Correlation‌ Before we can prove additivity and other important properties of tripartite intrinsic non-locality, we need to simplify the following quantity: I(A1A2; B1B2; C1C2|E). (35) Similar terms will appear many times in our analysis throughout this paper. Theorem 3. For every tripartite state ρA1B1C1A2B2C2E, the following equality holds: I(A1A2; B1B2; C1C2|E)ρ = I(A1; B1; C1|EA2B2C2)ρ + I(A2; B2; C2|E)ρ
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