dorsal/arxiv
View SchemaCartoon Computation: Quantum-like computing without quantum mechanics
| Authors | Diederik Aerts, Marek Czachor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611279 |
| URL | https://arxiv.org/abs/quant-ph/0611279 |
| DOI | 10.1088/1751-8113/40/13/F01 |
| Journal | J. Phys. A: Math. Theor. 40 (2007) F259-F266 |
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.
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"abstract": "We present a computational framework based on geometric structures. No\nquantum mechanics is involved, and yet the algorithms perform tasks analogous\nto quantum computation. Tensor products and entangled states are not needed --\nthey are replaced by sets of basic shapes. To test the formalism we solve in\ngeometric terms the Deutsch-Jozsa problem, historically the first example that\ndemonstrated the potential power of quantum computation. Each step of the\nalgorithm has a clear geometric interpetation and allows for a cartoon\nrepresentation.",
"arxiv_id": "quant-ph/0611279",
"authors": [
"Diederik Aerts",
"Marek Czachor"
],
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"quant-ph"
],
"doi": "10.1088/1751-8113/40/13/F01",
"journal_ref": "J. Phys. A: Math. Theor. 40 (2007) F259-F266",
"title": "Cartoon Computation: Quantum-like computing without quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0611279"
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