dorsal/arxiv
View SchemaAsymptotics of random density matrices
| Authors | Ion Nechita |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702154 |
| URL | https://arxiv.org/abs/quant-ph/0702154 |
| DOI | 10.1007/s00023-007-0345-5 |
| Journal | Pacific Journal of Mathematics 8, 8 (2007) 1521-1538 |
Abstract
We investigate random density matrices obtained by partial tracing larger random pure states. We show that there is a strong connection between these random density matrices and the Wishart ensemble of random matrix theory. We provide asymptotic results on the behavior of the eigenvalues of random density matrices, including convergence of the empirical spectral measure. We also study the largest eigenvalue (almost sure convergence and fluctuations).
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"abstract": "We investigate random density matrices obtained by partial tracing larger\nrandom pure states. We show that there is a strong connection between these\nrandom density matrices and the Wishart ensemble of random matrix theory. We\nprovide asymptotic results on the behavior of the eigenvalues of random density\nmatrices, including convergence of the empirical spectral measure. We also\nstudy the largest eigenvalue (almost sure convergence and fluctuations).",
"arxiv_id": "quant-ph/0702154",
"authors": [
"Ion Nechita"
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"doi": "10.1007/s00023-007-0345-5",
"journal_ref": "Pacific Journal of Mathematics 8, 8 (2007) 1521-1538",
"title": "Asymptotics of random density matrices",
"url": "https://arxiv.org/abs/quant-ph/0702154"
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