Taming singularities of the quantum Fisher information
From MaRDI portal
Publication:5037888
DOI10.1142/S0219749921400049zbMath1486.81052arXiv2108.05976MaRDI QIDQ5037888
Aaron Z. Goldberg, José Luis Romero, Luis L. Sánchez-Soto, Ángel S. Sanz
Publication date: 4 March 2022
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.05976
Density estimation (62G07) Point estimation (62F10) Sensitivity, stability, well-posedness (49K40) Quantum stochastic calculus (81S25) Sequential estimation (62L12) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum state estimation, approximate cloning (81P50)
Cites Work
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- Quantum detection and estimation theory
- Quantum state estimation.
- The transition probability in the state space of a \(^*\)-algebra
- What is a statistical model? (With comments and rejoinder).
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Statistical Models
- ALGEBRAIC GEOMETRICAL METHOD IN SINGULAR STATISTICAL ESTIMATION
- On non-singular information matrices and local identifiability
- Noncommuting observables in quantum detection and estimation theory
- Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
- A new approach to the Cramér-Rao-type bound of the pure-state model
- Statistical distance and the geometry of quantum states
- On quantumness in multi-parameter quantum estimation
- Parameter estimation problems with singular information matrices
- An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifinite w ∗ -Algebras
- Multi-parameter estimation beyond quantum Fisher information