dorsal/arxiv
View SchemaClassically-Controlled Quantum Computation
| Authors | Simon Perdrix, Philippe Jorrand |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407008 |
| URL | https://arxiv.org/abs/quant-ph/0407008 |
| DOI | 10.1017/S096012950600538X |
| Journal | Math. Struct. in Comp. Science, 16:601-620, 2006 |
Abstract
Quantum computations usually take place under the control of the classical world. We introduce a Classically-controlled Quantum Turing Machine (CQTM) which is a Turing Machine (TM) with a quantum tape for acting on quantum data, and a classical transition function for a formalized classical control. In CQTM, unitary transformations and measurements are allowed. We show that any classical TM is simulated by a CQTM without loss of efficiency. The gap between classical and quantum computations, already pointed out in the framework of measurement-based quantum computation is confirmed. To appreciate the similarity of programming classical TM and CQTM, examples are given.
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"abstract": "Quantum computations usually take place under the control of the classical\nworld. We introduce a Classically-controlled Quantum Turing Machine (CQTM)\nwhich is a Turing Machine (TM) with a quantum tape for acting on quantum data,\nand a classical transition function for a formalized classical control. In\nCQTM, unitary transformations and measurements are allowed. We show that any\nclassical TM is simulated by a CQTM without loss of efficiency. The gap between\nclassical and quantum computations, already pointed out in the framework of\nmeasurement-based quantum computation is confirmed. To appreciate the\nsimilarity of programming classical TM and CQTM, examples are given.",
"arxiv_id": "quant-ph/0407008",
"authors": [
"Simon Perdrix",
"Philippe Jorrand"
],
"categories": [
"quant-ph",
"cs.CC"
],
"doi": "10.1017/S096012950600538X",
"journal_ref": "Math. Struct. in Comp. Science, 16:601-620, 2006",
"title": "Classically-Controlled Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0407008"
},
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