Uncertainty relation of mixed states by means of Wigner-Yanase-Dyson information

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.052106· OSTI ID:21300793

Li, D ^[1]; Li, X ^[2]; Wang, F ^[3]; Huang, H ^[4]; Li, X ^[5]; Kwek, L C ^[6]

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1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084 (China)
2. Department of Mathematics, University of California, Irvine, California 92697-3875 (United States)
3. Insurance Department, Central University of Finance and Economics, Beijing 100081 (China)
4. Electrical Engineering and Computer Science Department, University of Michigan, Ann Arbor, Michigan 48109 (United States)
5. Department of Computer Science, Wayne State University, Detroit, Michigan 48202 (United States)
6. National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616 (Singapore)

The variance of an observable in a quantum state is usually used to describe Heisenberg uncertainty relation. For mixed states, the variance includes quantum and classical uncertainties. By means of the skew information and the decomposition of the variance, a stronger uncertainty relation was presented by Luo [ Phys. Rev. A 72, 042110 (2005)]. In this paper, by using Wigner-Yanase-Dyson information which is a generalization of the skew information, we propose a general uncertainty relation of mixed states.

• OSTI ID: 21300793
• Journal Information: Physical Review. A, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevA.79.052106; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HEISENBERG MODEL
INFORMATION THEORY
MIXED STATE
QUANTUM INFORMATION