An approximate quantum Cramér-Rao bound based on skew information
From MaRDI portal
Publication:453293
DOI10.3150/10-BEJ285zbMath1345.62044arXiv1104.4252MaRDI QIDQ453293
Publication date: 19 September 2012
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.4252
Point estimation (62F10) Parametric inference (62F99) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum detection and estimation theory
- A note on Fisher-Helstrom information inequality in pure state models
- Maximum Fisher information in mixed state quantum systems
- Monotone metrics on matrix spaces
- Quantum information theory and quantum statistics.
- Inequalities for quantum Fisher information
- Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
- Wigner-Yanase skew information vs. quantum Fisher information
- Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation
- Statistical distance and the geometry of quantum states
- Fisher information in quantum statistics
- On Quantum Statistical Inference
- Wigner–Yanase information on quantum state space: The geometric approach
- Geodesic distances on density matrices
- Geometries of quantum states
- INFORMATION CONTENTS OF DISTRIBUTIONS
- Rates of Convergence of Estimates and Test Statistics