Cartoon Computation: Quantum-like computing without quantum mechanics

Details Cartoon Computation: Quantum-like computing without quantum mechanics Cartoon Computation: Quantum-like computing without quantum mechanics

2006-11-28

arxiv.org/abs/quant-ph/0611279v2

J. Phys. A: Math. Theor. 40 (2007) F259-F266

Physics

Quantum Physics

version accepted in J. Phys.A (Letter to the Editor)

Scientific paper

10.1088/1751-8113/40/13/F01

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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