dorsal/arxiv
View SchemaInformation Content for Quantum States
| Authors | D. C. Brody, L. P. Hughston |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906085 |
| URL | https://arxiv.org/abs/quant-ph/9906085 |
| DOI | 10.1063/1.533260 |
| Journal | J.Math.Phys. 41 (2000) 2586-2592 |
Abstract
A method of representing probabilistic aspects of quantum systems is introduced by means of a density function on the space of pure quantum states. In particular, a maximum entropy argument allows us to obtain a natural density function that only reflects the information provided by the density matrix. This result is applied to derive the Shannon entropy of a quantum state. The information theoretic quantum entropy thereby obtained is shown to have the desired concavity property, and to differ from the the conventional von Neumann entropy. This is illustrated explicitly for a two-state system.
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"abstract": "A method of representing probabilistic aspects of quantum systems is\nintroduced by means of a density function on the space of pure quantum states.\nIn particular, a maximum entropy argument allows us to obtain a natural density\nfunction that only reflects the information provided by the density matrix.\nThis result is applied to derive the Shannon entropy of a quantum state. The\ninformation theoretic quantum entropy thereby obtained is shown to have the\ndesired concavity property, and to differ from the the conventional von Neumann\nentropy. This is illustrated explicitly for a two-state system.",
"arxiv_id": "quant-ph/9906085",
"authors": [
"D. C. Brody",
"L. P. Hughston"
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"quant-ph"
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"doi": "10.1063/1.533260",
"journal_ref": "J.Math.Phys. 41 (2000) 2586-2592",
"title": "Information Content for Quantum States",
"url": "https://arxiv.org/abs/quant-ph/9906085"
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