dorsal/arxiv
View SchemaA generalized skew information and uncertainty relation
| Authors | Kenjiro Yanagi, Shigeru Furuichi, Ken Kuriyama |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501152 |
| URL | https://arxiv.org/abs/quant-ph/0501152 |
| DOI | 10.1103/PhysRevA.72.022302 |
| Journal | IEEE Trans. on Information Theory,Vol.51(2005),pp.4401-4404 |
Abstract
A generalized skew information is defined and a generalized uncertainty relation is established with the help of a trace inequality which was recently proven by J.I.Fujii. In addition, we prove the trace inequality conjectured by S.Luo and Z.Zhang. Finally we point out that Theorem 1 in {\it S.Luo and Q.Zhang, IEEE Trans.IT, Vol.50, pp.1778-1782 (2004)} is incorrect in general, by giving a simple counter-example.
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"abstract": "A generalized skew information is defined and a generalized uncertainty\nrelation is established with the help of a trace inequality which was recently\nproven by J.I.Fujii. In addition, we prove the trace inequality conjectured by\nS.Luo and Z.Zhang. Finally we point out that Theorem 1 in {\\it S.Luo and\nQ.Zhang, IEEE Trans.IT, Vol.50, pp.1778-1782 (2004)} is incorrect in general,\nby giving a simple counter-example.",
"arxiv_id": "quant-ph/0501152",
"authors": [
"Kenjiro Yanagi",
"Shigeru Furuichi",
"Ken Kuriyama"
],
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"quant-ph",
"cs.IT",
"math.IT"
],
"doi": "10.1103/PhysRevA.72.022302",
"journal_ref": "IEEE Trans. on Information Theory,Vol.51(2005),pp.4401-4404",
"title": "A generalized skew information and uncertainty relation",
"url": "https://arxiv.org/abs/quant-ph/0501152"
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