  We introduce a pictorial approach to quantum information, called holographic
software. Our software captures both algebraic and topological aspects of
quantum networks. It yields a bi-directional dictionary to translate between a
topological approach and an algebraic approach. Using our software, we give a
topological simulation for quantum networks. The string Fourier transform (SFT)
is our basic tool to transform product states into states with maximal
entanglement entropy. We obtain a pictorial interpretation of Fourier
transformation, of measurements, and of local transformations, including the
$n$-qudit Pauli matrices and their representation by Jordan-Wigner
transformations.
  We use our software to discover interesting new protocols for multipartite
communication. In summary, we build a bridge linking the theory of planar para
algebras with quantum information.
