dorsal/arxiv
View SchemaEquivalent qubit dynamics under classical and quantum noise
| Authors | Olli-Pentti Saira, Ville Bergholm, Teemu Ojanen, Mikko Mottonen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605241 |
| URL | https://arxiv.org/abs/quant-ph/0605241 |
| DOI | 10.1103/PhysRevA.75.012308 |
| Journal | Phys. Rev. A 75, 012308 (2007) |
Abstract
We study the dynamics of quantum systems under classical and quantum noise, focusing on decoherence in qubit systems. Classical noise is described by a random process leading to a stochastic temporal evolution of a closed quantum system, whereas quantum noise originates from the coupling of the microscopic quantum system to its macroscopic environment. We derive deterministic master equations describing the average evolution of the quantum system under classical continuous-time Markovian noise and two sets of master equations under quantum noise. Strikingly, these three equations of motion are shown to be equivalent in the case of classical random telegraph noise and proper quantum environments. Hence fully quantum-mechanical models within the Born approximation can be mapped to a quantum system under classical noise. Furthermore, we apply the derived equations together with pulse optimization techniques to achieve high-fidelity one-qubit operations under random telegraph noise, and hence fight decoherence in these systems of great practical interest.
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"abstract": "We study the dynamics of quantum systems under classical and quantum noise,\nfocusing on decoherence in qubit systems. Classical noise is described by a\nrandom process leading to a stochastic temporal evolution of a closed quantum\nsystem, whereas quantum noise originates from the coupling of the microscopic\nquantum system to its macroscopic environment. We derive deterministic master\nequations describing the average evolution of the quantum system under\nclassical continuous-time Markovian noise and two sets of master equations\nunder quantum noise. Strikingly, these three equations of motion are shown to\nbe equivalent in the case of classical random telegraph noise and proper\nquantum environments. Hence fully quantum-mechanical models within the Born\napproximation can be mapped to a quantum system under classical noise.\nFurthermore, we apply the derived equations together with pulse optimization\ntechniques to achieve high-fidelity one-qubit operations under random telegraph\nnoise, and hence fight decoherence in these systems of great practical\ninterest.",
"arxiv_id": "quant-ph/0605241",
"authors": [
"Olli-Pentti Saira",
"Ville Bergholm",
"Teemu Ojanen",
"Mikko Mottonen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.012308",
"journal_ref": "Phys. Rev. A 75, 012308 (2007)",
"title": "Equivalent qubit dynamics under classical and quantum noise",
"url": "https://arxiv.org/abs/quant-ph/0605241"
},
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