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Cartoon Computation: Quantum-like computing without quantum mechanics

Diederik Aerts·Marek Czachor
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Abstract

We present a computational framework based on geometric structures. No quantum mechanics is involved, and yet the algorithms perform tasks analogous to quantum computation. Tensor products and entangled states are not needed -- they are replaced by sets of basic shapes. To test the formalism we solve in geometric terms the Deutsch-Jozsa problem, historically the first example that demonstrated the potential power of quantum computation. Each step of the algorithm has a clear geometric interpetation and allows for a cartoon representation.

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Diederik Aerts, Marek Czachor. 2007-02-18. Cartoon Computation: Quantum-like computing without quantum mechanics. https://doi.org/10.1088/1751-8113/40/13/f01

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