dorsal/arxiv
View SchemaMaximum-likelihood estimation of the density matrix
| Authors | K. Banaszek, G. M. D'Ariano, M. G. A. Paris, M. F. Sacchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909052 |
| URL | https://arxiv.org/abs/quant-ph/9909052 |
| DOI | 10.1103/PhysRevA.61.010304 |
| Journal | Phys. Rev. A 61, 010304(R) (2000). |
Abstract
We present a universal technique for quantum state estimation based on the maximum-likelihood method. This approach provides a positive definite estimate for the density matrix from a sequence of measurements performed on identically prepared copies of the system. The method is versatile and can be applied to multimode radiation fields as well as to spin systems. The incorporation of physical constraints, which is natural in the maximum-likelihood strategy, leads to a substantial reduction of statistical errors. Numerical implementation of the method is based on a particular form of the Gauss decomposition for positive definite Hermitian matrices.
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"abstract": "We present a universal technique for quantum state estimation based on the\nmaximum-likelihood method. This approach provides a positive definite estimate\nfor the density matrix from a sequence of measurements performed on identically\nprepared copies of the system. The method is versatile and can be applied to\nmultimode radiation fields as well as to spin systems. The incorporation of\nphysical constraints, which is natural in the maximum-likelihood strategy,\nleads to a substantial reduction of statistical errors. Numerical\nimplementation of the method is based on a particular form of the Gauss\ndecomposition for positive definite Hermitian matrices.",
"arxiv_id": "quant-ph/9909052",
"authors": [
"K. Banaszek",
"G. M. D\u0027Ariano",
"M. G. A. Paris",
"M. F. Sacchi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.010304",
"journal_ref": "Phys. Rev. A 61, 010304(R) (2000).",
"title": "Maximum-likelihood estimation of the density matrix",
"url": "https://arxiv.org/abs/quant-ph/9909052"
},
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