Optimal form of the Kretschmann–Schlingemann–Werner theorem for energy-constrained quantum channels and operations

DOI10.1063/5.0102141OpenAlexW2993341100MaRDI QIDQ5884774

Publication date: 24 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01678

Mathematics Subject Classification ID

Quantum computation (81P68) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum channels, fidelity (81P47)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Quantum systems, channels, information. A mathematical introduction.
Quantum conditional mutual information and approximate Markov chains
States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
A continuity theorem for Stinespring's dilation
The transition probability in the state space of a \(^*\)-algebra
Minimax monotonicity
On the energy-constrained diamond norm and its application in quantum information theory
Statistical Structure of Quantum Theory
Complementary Channels and the Additivity Problem
Operational distance and fidelity for quantum channels
The Information-Disturbance Tradeoff and the Continuity of Stinespring's Representation
The Theory of Quantum Information
Entanglement-Assisted Capacities of Constrained Quantum Channels
Extreme points of the set of quantum states with bounded energy
Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation
Operator -norms and their use
Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy
Positive Functions on C ∗ -Algebras
Quantum Information Theory

This page was built for publication: Optimal form of the Kretschmann–Schlingemann–Werner theorem for energy-constrained quantum channels and operations