dorsal/arxiv
View SchemaAsymptotically noise decoupling for Markovian open quantum systems
| Authors | Jing Zhang, Re-Bing Wu, Chun-Wen Li, Tzyh-Jong Tarn, Jian-Wu Wu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701175 |
| URL | https://arxiv.org/abs/quant-ph/0701175 |
| DOI | 10.1103/PhysRevA.75.022324 |
| Journal | Phys. Rev. A 75, 022324 (2007) |
Abstract
The noise decoupling problem is investigated for general N-level Markovian open quantum systems. Firstly, the concept of Cartan decomposition of the Lie algebra $su(N)$ is introduced as a tool of designing control Hamiltonians. Next, under certain assumptions, it is shown that a part of variables of the coherence vector of the system density matrix can be asymptotically decoupled from the environmental noises. The resulting noise decoupling scheme is applied to one-qubit, qutrit and two-qubit quantum systems, by which the coherence evolution of the one-qubit and qutrit systems can always be asymptotically preserved, while, for two-qubit systems, our findings indicate that evolution of some variables can be preserved only for some initial states.
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"abstract": "The noise decoupling problem is investigated for general N-level Markovian\nopen quantum systems. Firstly, the concept of Cartan decomposition of the Lie\nalgebra $su(N)$ is introduced as a tool of designing control Hamiltonians.\nNext, under certain assumptions, it is shown that a part of variables of the\ncoherence vector of the system density matrix can be asymptotically decoupled\nfrom the environmental noises. The resulting noise decoupling scheme is applied\nto one-qubit, qutrit and two-qubit quantum systems, by which the coherence\nevolution of the one-qubit and qutrit systems can always be asymptotically\npreserved, while, for two-qubit systems, our findings indicate that evolution\nof some variables can be preserved only for some initial states.",
"arxiv_id": "quant-ph/0701175",
"authors": [
"Jing Zhang",
"Re-Bing Wu",
"Chun-Wen Li",
"Tzyh-Jong Tarn",
"Jian-Wu Wu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.022324",
"journal_ref": "Phys. Rev. A 75, 022324 (2007)",
"title": "Asymptotically noise decoupling for Markovian open quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0701175"
},
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