Tomographic reconstruction of quantum metrics
From MaRDI portal
Publication:4606182
DOI10.1088/1751-8121/aa9e61zbMath1387.81117arXiv1704.01334OpenAlexW2606306240MaRDI QIDQ4606182
Fabio M. Mele, Patrizia Vitale, Franco Ventriglia, Marco Laudato, Giuseppe Marmo
Publication date: 1 March 2018
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01334
Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)
Related Items
Statistical properties of qutrit in probability representation of quantum mechanics ⋮ Stratified manifold of quantum states, actions of the complex special linear group ⋮ Geometry from divergence functions and complex structures ⋮ Lie groupoids in information geometry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classical and quantum Fisher information in the geometrical formulation of quantum mechanics
- Star products, duality and double Lie algebras
- Über monotone Matrixfunktionen
- Monotone metrics on matrix spaces
- Operator monotone functions, Jacobi operators and orthogonal polynomials
- Positive distribution description for spin states.
- Phase space distributions and a duality symmetry for star products
- GEOMETRY OF MIXED STATES AND DEGENERACY STRUCTURE OF GEOMETRIC PHASES FOR MULTI-LEVEL QUANTUM SYSTEMS: A UNITARY GROUP APPROACH
- Uniqueness of the Fisher–Rao metric on the space of smooth densities
- On the monotonicity of scalar curvature in classical and quantum information geometry
- On the geometry of mixed states and the Fisher information tensor
- An introduction to the tomographic picture of quantum mechanics
- A CHARACTERISATION OF WIGNER–YANASE SKEW INFORMATION AMONG STATISTICALLY MONOTONE METRICS
- A pedagogical presentation of aC⋆-algebraic approach to quantum tomography
- Hamilton-Jacobi approach to potential functions in information geometry
- Metric on the space of quantum states from relative entropy. Tomographic reconstruction
- Geometry of quantum systems: density states and entanglement
