期刊
EUROPEAN PHYSICAL JOURNAL D
卷 64, 期 1, 页码 147-153出版社
SPRINGER
DOI: 10.1140/epjd/e2011-20017-4
关键词
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资金
- NSFC [10875061, 60673034]
- Tsinghua National Laboratory for Information Science and Technology
- National Research Foundation
- Ministry of Education, Singapore
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 a and reduces to Luo's measure when a is equal to 1/2. To get rid of the parameter a, we propose the average of the general measure over the parameter a 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.
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