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arxiv: quant-ph/0611279 · v2 · submitted 2006-11-28 · 🪐 quant-ph

Cartoon Computation: Quantum-like computing without quantum mechanics

classification 🪐 quant-ph
keywords quantumcomputationgeometriccartoonmechanicsalgorithmalgorithmsallows
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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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