dorsal/arxiv
View SchemaRobustness against parametric noise of non ideal holonomic gates
| Authors | Cosmo Lupo, Paolo Aniello, Mario Napolitano, Giuseppe Florio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611079 |
| URL | https://arxiv.org/abs/quant-ph/0611079 |
| DOI | 10.1103/PhysRevA.76.012309 |
| Journal | Phys. Rev. A 76, 012309 (2007) |
Abstract
Holonomic gates for quantum computation are commonly considered to be robust against certain kinds of parametric noise, the very motivation of this robustness being the geometric character of the transformation achieved in the adiabatic limit. On the other hand, the effects of decoherence are expected to become more and more relevant when the adiabatic limit is approached. Starting from the system described by Florio et al. [Phys. Rev. A 73, 022327 (2006)], here we discuss the behavior of non ideal holonomic gates at finite operational time, i.e., far before the adiabatic limit is reached. We have considered several models of parametric noise and studied the robustness of finite time gates. The obtained results suggest that the finite time gates present some effects of cancellation of the perturbations introduced by the noise which mimic the geometrical cancellation effect of standard holonomic gates. Nevertheless, a careful analysis of the results leads to the conclusion that these effects are related to a dynamical instead of geometrical feature.
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"abstract": "Holonomic gates for quantum computation are commonly considered to be robust\nagainst certain kinds of parametric noise, the very motivation of this\nrobustness being the geometric character of the transformation achieved in the\nadiabatic limit. On the other hand, the effects of decoherence are expected to\nbecome more and more relevant when the adiabatic limit is approached. Starting\nfrom the system described by Florio et al. [Phys. Rev. A 73, 022327 (2006)],\nhere we discuss the behavior of non ideal holonomic gates at finite operational\ntime, i.e., far before the adiabatic limit is reached. We have considered\nseveral models of parametric noise and studied the robustness of finite time\ngates. The obtained results suggest that the finite time gates present some\neffects of cancellation of the perturbations introduced by the noise which\nmimic the geometrical cancellation effect of standard holonomic gates.\nNevertheless, a careful analysis of the results leads to the conclusion that\nthese effects are related to a dynamical instead of geometrical feature.",
"arxiv_id": "quant-ph/0611079",
"authors": [
"Cosmo Lupo",
"Paolo Aniello",
"Mario Napolitano",
"Giuseppe Florio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.76.012309",
"journal_ref": "Phys. Rev. A 76, 012309 (2007)",
"title": "Robustness against parametric noise of non ideal holonomic gates",
"url": "https://arxiv.org/abs/quant-ph/0611079"
},
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