dorsal/arxiv
View SchemaMaximum-likelihood reconstruction of CP maps
| Authors | Massimiliano F. Sacchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009104 |
| URL | https://arxiv.org/abs/quant-ph/0009104 |
| DOI | 10.1103/PhysRevA.63.054104 |
| Journal | Phys. Rev. A 63, 054104 (2001) |
Abstract
We present a method for the determination of the completely positive (CP) map describing a physical device based on random preparation of the input states, random measurements at the output, and maximum-likelihood principle. In the numerical implementation the constraint of completely positivity can be imposed by exploiting the isomorphism between linear transformations from Hilbert spaces $\cal H$ to $\cal K$ and linear operators in ${\cal K}\otimes {\cal H}$. The effectiveness of the method is shown on the basis of some examples of reconstruction of CP maps related to quantum communication channels for qubits.
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"abstract": "We present a method for the determination of the completely positive (CP) map\ndescribing a physical device based on random preparation of the input states,\nrandom measurements at the output, and maximum-likelihood principle. In the\nnumerical implementation the constraint of completely positivity can be imposed\nby exploiting the isomorphism between linear transformations from Hilbert\nspaces $\\cal H$ to $\\cal K$ and linear operators in ${\\cal K}\\otimes {\\cal H}$.\nThe effectiveness of the method is shown on the basis of some examples of\nreconstruction of CP maps related to quantum communication channels for qubits.",
"arxiv_id": "quant-ph/0009104",
"authors": [
"Massimiliano F. Sacchi"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.63.054104",
"journal_ref": "Phys. Rev. A 63, 054104 (2001)",
"title": "Maximum-likelihood reconstruction of CP maps",
"url": "https://arxiv.org/abs/quant-ph/0009104"
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