dorsal/arxiv
View SchemaRobustness of non-abelian holonomic quantum gates against parametric noise
| Authors | Paolo Solinas, Paolo Zanardi, Nino Zanghì |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312109 |
| URL | https://arxiv.org/abs/quant-ph/0312109 |
| DOI | 10.1103/PhysRevA.70.042316 |
Abstract
We present a numerical study of the robustness of a specific class of non-abelian holonomic quantum gates . We take into account the parametric noise due to stochastic fluctuations of the control fields which drive the time-dependent Hamiltonian along an adiabatic loop. The performance estimator used is the state fidelity between noiseless and noisy holonomic gates. We carry over our analysis with different correlation times and we find out that noisy holonomic gates seem to be close to the noiseless ones for 'short' and 'long' noise correlation times. This result can be interpreted as a consequence of to the geometric nature of the holonomic operator. Our simulation have been performed by using parameters relevant to the excitonic proposal for implementation of holonomic quantum computation [P. Solinas et al. Phys. Rev. B 67, 121307 (2003)]
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"abstract": "We present a numerical study of the robustness of a specific class of\nnon-abelian holonomic quantum gates . We take into account the parametric noise\ndue to stochastic fluctuations of the control fields which drive the\ntime-dependent Hamiltonian along an adiabatic loop. The performance estimator\nused is the state fidelity between noiseless and noisy holonomic gates.\n We carry over our analysis with different correlation times and we find out\nthat noisy holonomic gates seem to be close to the noiseless ones for \u0027short\u0027\nand \u0027long\u0027 noise correlation times. This result can be interpreted as a\nconsequence of to the geometric nature of the holonomic operator. Our\nsimulation have been performed by using parameters relevant to the excitonic\nproposal for implementation of holonomic quantum computation\n [P. Solinas et al. Phys. Rev. B 67, 121307 (2003)]",
"arxiv_id": "quant-ph/0312109",
"authors": [
"Paolo Solinas",
"Paolo Zanardi",
"Nino Zangh\u00ec"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.042316",
"title": "Robustness of non-abelian holonomic quantum gates against parametric noise",
"url": "https://arxiv.org/abs/quant-ph/0312109"
},
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