dorsal/arxiv
View SchemaDecoherence models and their effects on quantum maps and algorithms
| Authors | Mario Leandro Aolita, Marcos Saraceno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504211 |
| URL | https://arxiv.org/abs/quant-ph/0504211 |
Abstract
In this work we study several models of decoherence and how different quantum maps and algorithms react when perturbed by them. Following closely Ref. [1], generalizations of the three paradigmatic one single qubit quantum channels (these are the depolarizing channel, the phase damping channel and the amplitude damping channel) for the case of an arbitrarily-sized finite-dimensional Hilbert space are presented, as well as other types of noise in phase space. More specifically, Grover's search algorithm's response to decoherence is analyzed; together with those of a family of quantum versions of chaotic and regular classical maps (the baker's map and the cat maps). A relationship between how sensitive to decoherence a quantum map is and the degree of complexity in the dynamics of its associated classical counterpart is observed; resulting in a clear tendency to react the more decoherently the more complex the associated classical dynamics is.
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"abstract": "In this work we study several models of decoherence and how different quantum\nmaps and algorithms react when perturbed by them. Following closely Ref. [1],\ngeneralizations of the three paradigmatic one single qubit quantum channels\n(these are the depolarizing channel, the phase damping channel and the\namplitude damping channel) for the case of an arbitrarily-sized\nfinite-dimensional Hilbert space are presented, as well as other types of noise\nin phase space. More specifically, Grover\u0027s search algorithm\u0027s response to\ndecoherence is analyzed; together with those of a family of quantum versions of\nchaotic and regular classical maps (the baker\u0027s map and the cat maps). A\nrelationship between how sensitive to decoherence a quantum map is and the\ndegree of complexity in the dynamics of its associated classical counterpart is\nobserved; resulting in a clear tendency to react the more decoherently the more\ncomplex the associated classical dynamics is.",
"arxiv_id": "quant-ph/0504211",
"authors": [
"Mario Leandro Aolita",
"Marcos Saraceno"
],
"categories": [
"quant-ph"
],
"title": "Decoherence models and their effects on quantum maps and algorithms",
"url": "https://arxiv.org/abs/quant-ph/0504211"
},
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"source": {
"execution_id": "5577cdd0-5255-4f3b-b75b-c650e104f400",
"id": "arXiv Dataset IDs",
"type": "Model",
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