Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM
Quantum anticipation explorer is a computer program allowing the numerical exploration of quantum anticipation which has been analyzed in arXiv:0810.183v1 and arXiv:1003.1090v1 for H-Atom, equidistant, random and custom spectra. This tool determines the anticipation strength at those times orthogonal evolution is possible. This paper is the user's guide explaining its capabilities, installation and usage, and documenting the mathematics and algorithms implemented in the software. A zip file containing the setup and documentation can be downloaded from http://www.thomannconsulting.ch/public/aboutus/aboutus-en.htm free of cost.
We present a topological bicategorical syntax for the interaction between public and private information in classical information theory. This allows high-level graphical definitions of encrypted communication and secret sharing, including a characterization of their security properties, which are automatically satisfied with no extra axioms required. This analysis shows that these protocols have an identical abstract form to the quantum teleportation and dense coding procedures, giving a concrete mathematical analogy between quantum and classical computing. Specific implementations of these protocols as nondeterministic classical procedures are recovered by applying our formalism in a symmetric monoidal bicategory of matrices of relations. http://www.elsevier.nl/locate/entcs.