dorsal/arxiv
View SchemaInformation Theoretical Approach to Control of Quantum Mechanical Systems
| Authors | Shiro Kawabata |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409187 |
| URL | https://arxiv.org/abs/quant-ph/0409187 |
| DOI | 10.1103/PhysRevA.68.064302 |
| Journal | Phys. Rev. A 68 (2003) 064302 |
Abstract
Fundamental limits on the controllability of quantum mechanical systems are discussed in the light of quantum information theory. It is shown that the amount of entropy-reduction that can be extracted from a quantum system by feedback controller is upper bounded by a sum of the decrease of entropy achievable in open-loop control and the mutual information between the quantum system and the controller. This upper bound sets a fundamental limit on the performance of any quantum controllers whose designs are based on the possibilities to attain low entropy states. An application of this approach pertaining to quantum error correction is also discussed.
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"abstract": "Fundamental limits on the controllability of quantum mechanical systems are\ndiscussed in the light of quantum information theory. It is shown that the\namount of entropy-reduction that can be extracted from a quantum system by\nfeedback controller is upper bounded by a sum of the decrease of entropy\nachievable in open-loop control and the mutual information between the quantum\nsystem and the controller. This upper bound sets a fundamental limit on the\nperformance of any quantum controllers whose designs are based on the\npossibilities to attain low entropy states. An application of this approach\npertaining to quantum error correction is also discussed.",
"arxiv_id": "quant-ph/0409187",
"authors": [
"Shiro Kawabata"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
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"math.MP"
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"doi": "10.1103/PhysRevA.68.064302",
"journal_ref": "Phys. Rev. A 68 (2003) 064302",
"title": "Information Theoretical Approach to Control of Quantum Mechanical Systems",
"url": "https://arxiv.org/abs/quant-ph/0409187"
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