Ordering quantum states and channels based on positive Bayesian evidence
From MaRDI portal
Publication:4556627
DOI10.1063/1.5023474zbMath1400.81021arXiv1702.01634OpenAlexW3102219729MaRDI QIDQ4556627
Publication date: 16 November 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.01634
Bayesian inference (62F15) Channel models (including quantum) in information and communication theory (94A40) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum state estimation, approximate cloning (81P50)
Related Items
A Categorical Reconstruction of Quantum Theory ⋮ Pure Maps between Euclidean Jordan Algebras ⋮ A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras ⋮ Local tomography and the role of the complex numbers in quantum mechanics ⋮ The sandwiched Rényi divergence and quantum positive evidence order in infinite-dimensional Hilbert space
Cites Work
- Unnamed Item
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Semantics for a quantum programming language by operator algebras
- Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
- Subalgebras of \(C^ *\)-algebras
- Hilbert's projective metric in quantum information theory
- A Partial Order on Classical and Quantum States
- A Domain Theoretic Model of Qubit Channels
- Continuous Lattices and Domains
- Min- and Max-Relative Entropies and a New Entanglement Monotone
- On the Quantum Rényi Relative Entropies and Related Capacity Formulas
- On quantum Rényi entropies: A new generalization and some properties
- Optimal quantum networks and one-shot entropies