dorsal/arxiv
View SchemaThe information entropy of quantum mechanical states
| Authors | Alexander Stotland, Andrei A. Pomeransky, Eitan Bachmat, Doron Cohen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401021 |
| URL | https://arxiv.org/abs/quant-ph/0401021 |
| DOI | 10.1209/epl/i2004-10110-1 |
| Journal | Europhysics Letters 67, 700 (2004) |
Abstract
It is well known that a Shannon based definition of information entropy leads in the classical case to the Boltzmann entropy. It is tempting to regard the Von Neumann entropy as the corresponding quantum mechanical definition. But the latter is problematic from quantum information point of view. Consequently we introduce a new definition of entropy that reflects the inherent uncertainty of quantum mechanical states. We derive for it an explicit expression, and discuss some of its general properties. We distinguish between the minimum uncertainty entropy of pure states, and the excess statistical entropy of mixtures.
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"abstract": "It is well known that a Shannon based definition of information entropy leads\nin the classical case to the Boltzmann entropy. It is tempting to regard the\nVon Neumann entropy as the corresponding quantum mechanical definition. But the\nlatter is problematic from quantum information point of view. Consequently we\nintroduce a new definition of entropy that reflects the inherent uncertainty of\nquantum mechanical states. We derive for it an explicit expression, and discuss\nsome of its general properties. We distinguish between the minimum uncertainty\nentropy of pure states, and the excess statistical entropy of mixtures.",
"arxiv_id": "quant-ph/0401021",
"authors": [
"Alexander Stotland",
"Andrei A. Pomeransky",
"Eitan Bachmat",
"Doron Cohen"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"doi": "10.1209/epl/i2004-10110-1",
"journal_ref": "Europhysics Letters 67, 700 (2004)",
"title": "The information entropy of quantum mechanical states",
"url": "https://arxiv.org/abs/quant-ph/0401021"
},
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