Tensor-product vs. geometric-product coding

Details Tensor-product vs. geometric-product coding Tensor-product vs. geometric-product coding

2007-09-10

arxiv.org/abs/0709.1268v1

Phys. Rev. A 77, 012316 (2008)

Physics

Quantum Physics

6 eps figures

Scientific paper

10.1103/PhysRevA.77.012316

Quantum computation is based on tensor products and entangled states. We discuss an alternative to the quantum framework where tensor products are replaced by geometric products and entangled states by multivectors. The resulting theory is analogous to quantum computation but does not involve quantum mechanics. We discuss in detail similarities and differences between the two approaches and illustrate the formulas by explicit geometric objects where multivector versions of the Bell-basis, GHZ, and Hadamard states are visualized by means of colored oriented polylines.

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