Quantum skew divergence
From MaRDI portal
Publication:2934183
DOI10.1063/1.4901039zbMath1307.81024arXiv1304.5935OpenAlexW3103453378MaRDI QIDQ2934183
Publication date: 11 December 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.5935
Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum state estimation, approximate cloning (81P50)
Related Items
On bounding entangling rates and mixing rates in some special cases, Bounds on the concavity of quantum entropy, On the role of initial coherence in the spin phase-space entropy production rate, Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels, Upper bounds for the Holevo information quantity and their use, Entanglement rates for Rényi, Tsallis, and other entropies, Correlations in geometric states, A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy, Entanglement rates and the stability of the area law for the entanglement entropy, Entropy power inequalities for qudits, Dynamical maps beyond Markovian regime
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Capacity of a quantum communications channel
- The proper formula for relative entropy and its asymptotics in quantum probability
- Regularization of quantum relative entropy in finite dimensions and application to entropy production
- Monotone metrics on matrix spaces
- Quantum information theory and quantum statistics.
- A continuity property of the entropy density for spin lattice systems
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Continuity bounds on the quantum relative entropy — II
- Chain Rules for Smooth Min- and Max-Entropies
- Divergence measures based on the Shannon entropy
- Telescopic Relative Entropy
- Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
- Optimal, reliable estimation of quantum states
- Min- and Max-Relative Entropies and a New Entanglement Monotone
- The $\chi ^2$χ2-divergence and mixing times of quantum Markov processes
- On the asymmetry of the relative entropy
- Conditional expectation in an operator algebra. IV. Entropy and information
