Tensor Universality, Quantum Information Flow, Coecke's Theorem, and Generalizations

Details Tensor Universality, Quantum Information Flow, Coecke's Theorem, and Generalizations Tensor Universality, Quantum Information Flow, Coecke's Theorem, and Generalizations

2006-01-13

arxiv.org/abs/quant-ph/0601093v2

Physics

Quantum Physics

LaTeX, 23 pages, uses amsfonts. V2 minor rewritting for clarity and fixed typos. More references

Scientific paper

We show that Coecke's compositionality theorem for quantum information flow follows by the universal property of tensor products from the case in which all relevant states are totally disentangled, for which the proof is almost trivial. With the same technique we deduce a PROP structure behind general multipartite quantum information processing and show that all such are equivalent to a canonical teleportation-type form. Some philosophical issues concerning quantum information are also touched upon.

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