Uncertainty relation associated with a monotone pair skew information

Chul Ki Ko; Hyun Jae Yoo

doi:10.1016/j.jmaa.2011.05.014

Uncertainty relation associated with a monotone pair skew information

Chul Ki Ko, Hyun Jae Yoo

University College

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We derive a trace inequality leading to an uncertainty relation based on the monotone pair skew information introduced by Furuichi. As the monotone pair skew information generalizes the Wigner-Yanase-Dyson skew information as well as some other skew information, our result also extends a few known results on the uncertainty relations. Particularly it reduces to that of Luo, Yanagi, and Furuichi et al. in the special cases.

Original language	English
Pages (from-to)	208-214
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	383
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2011.05.014
Publication status	Published - 2011 Nov 1

Bibliographical note

Funding Information:
We thank the anonymous referee for valuable comments and a simplified proof of Lemma 3.1 which improved the first version of the paper. C.K. Ko was supported by WCU (World Class University) program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology R31-2008-000-10049-0. H.J. Yoo was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-313-C00085).

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2011.05.014

Cite this

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title = "Uncertainty relation associated with a monotone pair skew information",

abstract = "We derive a trace inequality leading to an uncertainty relation based on the monotone pair skew information introduced by Furuichi. As the monotone pair skew information generalizes the Wigner-Yanase-Dyson skew information as well as some other skew information, our result also extends a few known results on the uncertainty relations. Particularly it reduces to that of Luo, Yanagi, and Furuichi et al. in the special cases.",

keywords = "Monotone pair skew information, Uncertainty relation, Wigner-Yanase skew information, Wigner-Yanase-Dyson skew information",

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note = "Funding Information: We thank the anonymous referee for valuable comments and a simplified proof of Lemma 3.1 which improved the first version of the paper. C.K. Ko was supported by WCU (World Class University) program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology R31-2008-000-10049-0. H.J. Yoo was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-313-C00085).",

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AU - Yoo, Hyun Jae

N1 - Funding Information: We thank the anonymous referee for valuable comments and a simplified proof of Lemma 3.1 which improved the first version of the paper. C.K. Ko was supported by WCU (World Class University) program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology R31-2008-000-10049-0. H.J. Yoo was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-313-C00085).

PY - 2011/11/1

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N2 - We derive a trace inequality leading to an uncertainty relation based on the monotone pair skew information introduced by Furuichi. As the monotone pair skew information generalizes the Wigner-Yanase-Dyson skew information as well as some other skew information, our result also extends a few known results on the uncertainty relations. Particularly it reduces to that of Luo, Yanagi, and Furuichi et al. in the special cases.

AB - We derive a trace inequality leading to an uncertainty relation based on the monotone pair skew information introduced by Furuichi. As the monotone pair skew information generalizes the Wigner-Yanase-Dyson skew information as well as some other skew information, our result also extends a few known results on the uncertainty relations. Particularly it reduces to that of Luo, Yanagi, and Furuichi et al. in the special cases.

KW - Monotone pair skew information

KW - Uncertainty relation

KW - Wigner-Yanase skew information

KW - Wigner-Yanase-Dyson skew information

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ER -

Uncertainty relation associated with a monotone pair skew information

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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