Allocation of Entropies for Tri-Partite System

Allocation of Entropies for Tri-Partite System as Convex Cone

Allocation of Entropy for Tri-Partite System composed of quantum states with the following density matrices:

Qa = \begin{pmatrix} 3/4  & 0 \\ 0  & 1/4 \end{pmatrix} , Qb = \begin{pmatrix} 9/10  & 0 \\ 0  & 1/10 \end{pmatrix} and Qc = \begin{pmatrix} 1/2  & 1/4 \\ 1/4  & 1/2 \end{pmatrix}

forms a convex cone. The composite system ingredients were varied to obtain set of entropic values.  For example, system A is in 10%, system B is in 40% and system C is in 50% of the mixture. The calculated values of entropies were plotted in Matlab and plotted in 3D to obtain 3D pictorial view of the allocation of entropies. This is shown below:

Allocation of Entropy of Tripartite System

Another view:

Allocation of Entropy for Tripartite System

Fig: Allocation of Entropy for Tripartite System

Another View:

Allocation of Entropies for Tri-Partite System as Convex Cone

Allocation of Entropies for Tri-Partite System as Convex Cone

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