dorsal/arxiv
View SchemaControlled Quantum Open Systems
| Authors | Robert Alicki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302132 |
| URL | https://arxiv.org/abs/quant-ph/0302132 |
| DOI | 10.1007/3-540-44874-8_6 |
Abstract
The theory of controlled quantum open systems describes quantum systems interacting with quantum environments and influenced by external forces varying according to given algorithms. It is aimed, for instance, to model quantum devices which can find applications in the future technology based on quantum information processing. One of the main problems making difficult the practical implementations of quantum information theory is the fragility of quantum states under external perturbations. The aim of this note is to present the relevant results concerning ergodic properties of open quantum systems which are useful for the optimization of quantum devices and noise (errors) reduction. In particular we present mathematical characterization of the so-called "decoherence-free subspaces" for discrete and continuous-time quantum dynamical semigroups in terms of $C^*$-algebras and group representations. We analyze the non-Markovian models also, presenting the formulas for errors in the Born approximation. The obtained results are used to discuss the proposed different strategies of error reduction.
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"abstract": "The theory of controlled quantum open systems describes quantum systems\ninteracting with quantum environments and influenced by external forces varying\naccording to given algorithms. It is aimed, for instance, to model quantum\ndevices which can find applications in the future technology based on quantum\ninformation processing. One of the main problems making difficult the practical\nimplementations of quantum information theory is the fragility of quantum\nstates under external perturbations. The aim of this note is to present the\nrelevant results concerning ergodic properties of open quantum systems which\nare useful for the optimization of quantum devices and noise (errors)\nreduction. In particular we present mathematical characterization of the\nso-called \"decoherence-free subspaces\" for discrete and continuous-time quantum\ndynamical semigroups in terms of $C^*$-algebras and group representations. We\nanalyze the non-Markovian models also, presenting the formulas for errors in\nthe Born approximation. The obtained results are used to discuss the proposed\ndifferent strategies of error reduction.",
"arxiv_id": "quant-ph/0302132",
"authors": [
"Robert Alicki"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/3-540-44874-8_6",
"title": "Controlled Quantum Open Systems",
"url": "https://arxiv.org/abs/quant-ph/0302132"
},
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