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Cartoon Computation: Quantum-like computing without quantum mechanics

Research paper by Diederik Aerts, Marek Czachor

Indexed on: 18 Feb '07Published on: 18 Feb '07Published in: Quantum Physics



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.