Cartoon Computation: Quantum-like computing without quantum mechanics
arXiv:quant-ph/0611279 · doi:10.1088/1751-8113/40/13/F01
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.
version accepted in J. Phys.A (Letter to the Editor)