dorsal/arxiv
View SchemaOptimal Trade-Off: Information Gain vs Distortion Loss In Finite-Dimensional Quantum Systems
| Authors | Thijs van der Valk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602086 |
| URL | https://arxiv.org/abs/quant-ph/0602086 |
Abstract
In this thesis, I reflect on quantum instruments that measure the state of pure finite dimensional quantum systems. As the Heisenberg principle dictates, there exists a joint restriction to the information gain and distortion by measurement of a quantum system. I minimize the distortion of measurement and maximize the quality of the outcome by finding the optimal (covariant) instrument. In order to optimize this joint restriction, the family of covariant instruments is classified. This is an important side result.
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"abstract": "In this thesis, I reflect on quantum instruments that measure the state of\npure finite dimensional quantum systems. As the Heisenberg principle dictates,\nthere exists a joint restriction to the information gain and distortion by\nmeasurement of a quantum system. I minimize the distortion of measurement and\nmaximize the quality of the outcome by finding the optimal (covariant)\ninstrument. In order to optimize this joint restriction, the family of\ncovariant instruments is classified. This is an important side result.",
"arxiv_id": "quant-ph/0602086",
"authors": [
"Thijs van der Valk"
],
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"title": "Optimal Trade-Off: Information Gain vs Distortion Loss In Finite-Dimensional Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/0602086"
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