山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (8): 43-47.doi: 10.6040/j.issn.1671-9352.0.2017.036
王丽丽,陈峥立*
WANG Li-li, CHEN Zheng-li*
摘要: 基于对Wigner-Yanase-Dyson斜信息和Wigner-Yanase关联的一些特性的研究, 给出了不同量子信道的Wigner-Yanase-Dyson斜信息。最后证明了Wigner-Yanase-Dyson斜信息的凹性。
中图分类号:
[1] WIGNER E P, YANASE M M. Information contents of distributions[J]. Proceedings of the National Academy of Sciences of the United States of America, 1963, 49(6):910-918. [2] DOU Yanni, DU Hongke. Generalizations of the Heisenberg and Schrödinger uncertainty relations[J]. Journal of Mathematical Physics, 2013, 54, 103508. doi:10.1063/1.4825114. [3] DOU Yanni, DU Hongke. Note on the Wigner-Yanase-Dyson skew information[J]. International Journal of Theoretical Physics, 2014, 53(3):952-958. [4] YANAGI K. Uncertainty relation on Wigner-Yanase-Dyson skew information[J]. Journal of Mathematical Analysis and Applications, 2009, 365(1):12-18. [5] YANAGI K. Wigner-Yanase-Dyson skew information and uncertainty relation[J]. Journal of Physics: Conference Series, 2010, 201(1), id: 012015. [6] 李浩静, 陈峥立, 梁丽丽. 关于Schrödinger不确定性关系的研究[J]. 山东大学学报(理学版), 2014, 49(6):67-73. LI Haojing, CHEN Zhengli, LIANG Lili. Note on the Schrödinger uncertainty relation[J]. Journal of Shandong University(Natural Science), 2014, 49(6):67-73. [7] CHEN Zhengli, LIANG Lili, LI Haojing, et al. A generalized uncertainty relation[J]. International Journal of Theoretical Physics, 2015, 54(8):2644-2651. [8] CHEN Zhengli, LIANG Lili, LI Haojing, et al. Two generalized Wigner-Yanase skew information and their uncertainty relations[J]. Quantum Information Processing, 2016, 15(12):5107-5118. [9] LUO Shunlong. Wigner-Yanase skew information vs. quantum fisher information[J]. Proceedings of the American Mathematical Society, 2003, 132(3):885-890. [10] LUO Shunlong. Quantum discord for two-qubit systems[J]. Physical Review A, 2008, 77. doi: 10.1103/PhysRevA.77.042303. [11] LUO Shunlong, FU Shuangshuang. Geometric measure of quantum discord[J]. Physics Review A, 2010, 82(3):118-129. [12] LUO Shunlong, FU Shuangshuang. Quantifying correlations via the Wigner-Yanase skew information[J]. Physical Review A, 2012, 85. doi: 10.1103/PhysRevA.85.032117. [13] LIEB E H. Convex trace functions and the Wigner-Yanase-Dyson conjecture[J]. Advances in Mathematics, 1973, 11(3):267-288. [14] LUO Shunlong, ZHANG Zhengmin. An informational characterization of Schrödingers uncertainty relations[J]. Journal of Statistical Physics, 2004, 114(5):1557-1576. [15] LI Qian, CAO Huaixin, DU Hongke. A generalization of Schrödingers uncertainty relation described by the Wigner-Yanase skew information[J]. Quantum Information Processing, 2015, 14(4):1513-1522. |
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