caa a22 4500 445865059 CHVBK 20180317145455.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1140/epjd/e2011-20017-4 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-20017-4 Averaged Wigner-Yanase-Dyson information as a quantum uncertainty measure [Elektronische Daten] [X. Li, D. Li, H. Huang, X. Li, L. Kwek] The average of the skew information over the observables was proposed by Luo as a quantum uncertainty measure. In this paper, we investigate the interesting properties of Wigner-Yanase-Dyson (WYD) information, which is a generalization of skew information. Then, by averaging WYD information over the observables we propose a general quantum uncertainty measure of mixed states, and study the properties of the measure. Note that the general quantum uncertainty measure depends on the parameter α and reduces to Luo's measure when α is equal to 1/2. To get rid of the parameter α, we propose the average of the general measure over the parameter α as a quantum uncertainty measure of mixed states and discuss its properties. The two measures can be considered as the intrinsic properties of mixed state. The construction is reminiscent of the generalized entropies that have shown to be useful in many applications. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Li X. Department of Mathematics, University of California, 92697-3875, Irvine, CA, USA aut Li D. Department of mathematical sciences, Tsinghua University, 100084, Beijing, P.R. China aut Huang H. Electrical Engineering and Computer Science Department, University of Michigan, 48109, Ann Arbor, MI, USA aut Li X. Department of Computer Science, Wayne State University, 48202, Detroit, MI, USA aut Kwek L. National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, 637616, Singapore, Singapore aut The European Physical Journal D Springer-Verlag 64/1(2011-09-01), 147-153 1434-6060 64:1<147 2011 64 10053 https://doi.org/10.1140/epjd/e2011-20017-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-20017-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li X. Department of Mathematics, University of California, 92697-3875, Irvine, CA, USA aut NATIONALLICENCE 700 1- Li D. Department of mathematical sciences, Tsinghua University, 100084, Beijing, P.R. China aut NATIONALLICENCE 700 1- Huang H. Electrical Engineering and Computer Science Department, University of Michigan, 48109, Ann Arbor, MI, USA aut NATIONALLICENCE 700 1- Li X. Department of Computer Science, Wayne State University, 48202, Detroit, MI, USA aut NATIONALLICENCE 700 1- Kwek L. National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, 637616, Singapore, Singapore aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 64/1(2011-09-01), 147-153 1434-6060 64:1<147 2011 64 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer