dorsal/arxiv
View SchemaHypercomputability of quantum adiabatic processes: Fact versus Prejudices
| Authors | Tien D. Kieu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504101 |
| URL | https://arxiv.org/abs/quant-ph/0504101 |
Abstract
We give an overview of a quantum adiabatic algorithm for Hilbert's tenth problem, including some discussions on its fundamental aspects and the emphasis on the probabilistic correctness of its findings. For the purpose of illustration, the numerical simulation results of some simple Diophantine equations are presented. We also discuss some prejudicial misunderstandings as well as some plausible difficulties faced by the algorithm in its physical implementation.
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"abstract": "We give an overview of a quantum adiabatic algorithm for Hilbert\u0027s tenth\nproblem, including some discussions on its fundamental aspects and the emphasis\non the probabilistic correctness of its findings. For the purpose of\nillustration, the numerical simulation results of some simple Diophantine\nequations are presented. We also discuss some prejudicial misunderstandings as\nwell as some plausible difficulties faced by the algorithm in its physical\nimplementation.",
"arxiv_id": "quant-ph/0504101",
"authors": [
"Tien D. Kieu"
],
"categories": [
"quant-ph"
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"title": "Hypercomputability of quantum adiabatic processes: Fact versus Prejudices",
"url": "https://arxiv.org/abs/quant-ph/0504101"
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