dorsal/arxiv
View SchemaNotes on Geometric-Algebra Quantum-Like Algorithms
| Authors | Diederik Aerts, Marek Czachor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610187 |
| URL | https://arxiv.org/abs/quant-ph/0610187 |
Abstract
In these notes we present preliminary results on quantum-like algorithms where tensor product is replaced by geometric product. Such algorithms possess the essential properties typical of quantum computation (entanglement, parallelism) but employ additional algebraic structures typical of geometric algebra -- structures absent in standard quantum computation. As a test we reformulate in Geometric Algebra terms the Deutsch-Jozsa problem.
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"abstract": "In these notes we present preliminary results on quantum-like algorithms\nwhere tensor product is replaced by geometric product. Such algorithms possess\nthe essential properties typical of quantum computation (entanglement,\nparallelism) but employ additional algebraic structures typical of geometric\nalgebra -- structures absent in standard quantum computation. As a test we\nreformulate in Geometric Algebra terms the Deutsch-Jozsa problem.",
"arxiv_id": "quant-ph/0610187",
"authors": [
"Diederik Aerts",
"Marek Czachor"
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"title": "Notes on Geometric-Algebra Quantum-Like Algorithms",
"url": "https://arxiv.org/abs/quant-ph/0610187"
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