Generalized Wigner-Yanase Skew Information and the Affiliated Inequality
arXiv:2205.06988 · doi:10.1103/PhysRevA.106.052401
Abstract
A family of skew information quantities is obtained, in which the well-known Wigner-Yanase skew information and quantum Fisher information stand as special cases. A transparent proof of convexity of the generalized skew information is given, implying a simple proof of the Wigner-Yanase-Dyson conjecture. We find in this work an exact skew information inequality for qubit system, which may regard as the information counterpart of the uncertainty relation. A lower bound for generalized skew information of a pair of incompatible observables in arbitrary dimension and also the upper bound for qubit system are achieved.
23 pages, 2 figures
References in corpus (10)
- Quantum metrology from a quantum information science perspective
- Observable measure of quantum coherence in finite dimensional systems
- Quantum coherence and uncertainty in the anisotropic XY chain
- Metric adjusted skew information
- Metrological Detection of Multipartite Entanglement from Young Diagrams
- Uncertainty Relations for Quantum Coherence
- The Wigner-Yanase entropy is not subadditive
- Uncertainty principle with quantum Fisher information
- A volume inequality for quantum Fisher information and the uncertainty principle
- Intrinsic metrological resolution as a distance measure and nonclassical light