dorsal/arxiv
View SchemaProbability distributions consistent with a mixed state
| Authors | M. A. Nielsen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909020 |
| URL | https://arxiv.org/abs/quant-ph/9909020 |
| DOI | 10.1103/PhysRevA.62.052308 |
| Journal | Physical Review A 61 (6): Art. No. 064301 (2000) |
Abstract
A density matrix $\rho$ may be represented in many different ways as a mixture of pure states, $\rho = \sum_i p_i |\psi_i\ra \la \psi_i|$. This paper characterizes the class of probability distributions $(p_i)$ that may appear in such a decomposition, for a fixed density matrix $\rho$. Several illustrative applications of this result to quantum mechanics and quantum information theory are given.
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"abstract": "A density matrix $\\rho$ may be represented in many different ways as a\nmixture of pure states, $\\rho = \\sum_i p_i |\\psi_i\\ra \\la \\psi_i|$. This paper\ncharacterizes the class of probability distributions $(p_i)$ that may appear in\nsuch a decomposition, for a fixed density matrix $\\rho$. Several illustrative\napplications of this result to quantum mechanics and quantum information theory\nare given.",
"arxiv_id": "quant-ph/9909020",
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"M. A. Nielsen"
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"doi": "10.1103/PhysRevA.62.052308",
"journal_ref": "Physical Review A 61 (6): Art. No. 064301 (2000)",
"title": "Probability distributions consistent with a mixed state",
"url": "https://arxiv.org/abs/quant-ph/9909020"
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