dorsal/arxiv
View SchemaDissipative decoherence in the Grover algorithm
| Authors | O. V. Zhirov, D. L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511010 |
| URL | https://arxiv.org/abs/quant-ph/0511010 |
| DOI | 10.1140/epjd/e2006-00046-x |
| Journal | Eur. Phys. J. D 38, 405 (2006) |
Abstract
Using the methods of quantum trajectories we study effects of dissipative decoherence on the accuracy of the Grover quantum search algorithm. The dependence on the number of qubits and dissipation rate are determined and tested numerically with up to 16 qubits. As a result, our numerical and analytical studies give the universal law for decay of fidelity and probability of searched state which are induced by dissipative decoherence effects. This law is in agreement with the results obtained previously for quantum chaos algorithms.
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"abstract": "Using the methods of quantum trajectories we study effects of dissipative\ndecoherence on the accuracy of the Grover quantum search algorithm. The\ndependence on the number of qubits and dissipation rate are determined and\ntested numerically with up to 16 qubits. As a result, our numerical and\nanalytical studies give the universal law for decay of fidelity and probability\nof searched state which are induced by dissipative decoherence effects. This\nlaw is in agreement with the results obtained previously for quantum chaos\nalgorithms.",
"arxiv_id": "quant-ph/0511010",
"authors": [
"O. V. Zhirov",
"D. L. Shepelyansky"
],
"categories": [
"quant-ph",
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"nlin.CD"
],
"doi": "10.1140/epjd/e2006-00046-x",
"journal_ref": "Eur. Phys. J. D 38, 405 (2006)",
"title": "Dissipative decoherence in the Grover algorithm",
"url": "https://arxiv.org/abs/quant-ph/0511010"
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