dorsal/arxiv
View SchemaLeast-squares inversion for density-matrix reconstruction
| Authors | T. Opatrny, D. -G. Welsch, W. Vogel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703026 |
| URL | https://arxiv.org/abs/quant-ph/9703026 |
| DOI | 10.1103/PhysRevA.56.1788 |
Abstract
We propose a method for reconstruction of the density matrix from measurable time-dependent (probability) distributions of physical quantities. The applicability of the method based on least-squares inversion is - compared with other methods - very universal. It can be used to reconstruct quantum states of various systems, such as harmonic and and anharmonic oscillators including molecular vibrations in vibronic transitions and damped motion. It also enables one to take into account various specific features of experiments, such as limited sets of data and data smearing owing to limited resolution. To illustrate the method, we consider a Morse oscillator and give a comparison with other state-reconstruction methods suggested recently.
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"abstract": "We propose a method for reconstruction of the density matrix from measurable\ntime-dependent (probability) distributions of physical quantities. The\napplicability of the method based on least-squares inversion is - compared with\nother methods - very universal. It can be used to reconstruct quantum states of\nvarious systems, such as harmonic and and anharmonic oscillators including\nmolecular vibrations in vibronic transitions and damped motion. It also enables\none to take into account various specific features of experiments, such as\nlimited sets of data and data smearing owing to limited resolution. To\nillustrate the method, we consider a Morse oscillator and give a comparison\nwith other state-reconstruction methods suggested recently.",
"arxiv_id": "quant-ph/9703026",
"authors": [
"T. Opatrny",
"D. -G. Welsch",
"W. Vogel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.1788",
"title": "Least-squares inversion for density-matrix reconstruction",
"url": "https://arxiv.org/abs/quant-ph/9703026"
},
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