dorsal/arxiv
View SchemaAccessible information and optimal strategies for real symmetrical quantum sources
| Authors | Masahide Sasaki, Stephen M. Barnett, Richard Jozsa, Masao Osaki, Osamu Hirota |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812062 |
| URL | https://arxiv.org/abs/quant-ph/9812062 |
| DOI | 10.1103/PhysRevA.59.3325 |
| Journal | Phys.Rev. A59 (2002) 3325 |
Abstract
We study the problem of optimizing the Shannon mutual information for sources of real quantum states i.e. sources for which there is a basis in which all the states have only real components. We consider in detail the sources ${\cal E}_M$ of $M$ equiprobable qubit states lying symmetrically around the great circle of real states on the Bloch sphere and give a variety of explicit optimal strategies. We also consider general real group-covariant sources for which the group acts irreducibly on the subset of all real states and prove the existence of a real group-covariant optimal strategy, extending a theorem of Davies (E. B. Davies, IEEE. Inf. Theory {\bf IT-24}, 596 (1978)). Finally we propose an optical scheme to implement our optimal strategies, enough simple to be realized with present technology.
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"abstract": "We study the problem of optimizing the Shannon mutual information for sources\nof real quantum states i.e. sources for which there is a basis in which all the\nstates have only real components. We consider in detail the sources ${\\cal\nE}_M$ of $M$ equiprobable qubit states lying symmetrically around the great\ncircle of real states on the Bloch sphere and give a variety of explicit\noptimal strategies. We also consider general real group-covariant sources for\nwhich the group acts irreducibly on the subset of all real states and prove the\nexistence of a real group-covariant optimal strategy, extending a theorem of\nDavies (E. B. Davies, IEEE. Inf. Theory {\\bf IT-24}, 596 (1978)). Finally we\npropose an optical scheme to implement our optimal strategies, enough simple to\nbe realized with present technology.",
"arxiv_id": "quant-ph/9812062",
"authors": [
"Masahide Sasaki",
"Stephen M. Barnett",
"Richard Jozsa",
"Masao Osaki",
"Osamu Hirota"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.59.3325",
"journal_ref": "Phys.Rev. A59 (2002) 3325",
"title": "Accessible information and optimal strategies for real symmetrical quantum sources",
"url": "https://arxiv.org/abs/quant-ph/9812062"
},
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