Uncertainty relation associated with a monotone pair skew information |
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| Authors: | Chul Ki Ko Hyun Jae Yoo |
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| Institution: | a Department of Computational Science and Engineering, Yonsei University, 134 Sinchon-dong, Seodaemun-gu, Seoul 120-749, Republic of Korea
b Department of Applied Mathematics, Hankyong National University, 167 Jungangno, Anseong-si, Gyeonggi-do 456-749, Republic of Korea |
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| 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. |
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| Keywords: | Wigner-Yanase skew information Wigner-Yanase-Dyson skew information Monotone pair skew information Uncertainty relation |
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