Energy-constrained diamond norms and quantum dynamical semigroups

DOI10.1134/S199508021910024XzbMath1483.46072arXiv1812.07447OpenAlexW2980369723MaRDI QIDQ2284232

M. E. Shirokov, Alexandr S. Holevo

Publication date: 14 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07447

zbMATH Keywords

trace class operatorquantum channelsuperoperatorgenerator of a semigroupoperator \(E\)-normrelatively infinitesimal operator

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Operator ideals (47L20) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items

On mutually inverse transforms of functions on a half-line, On extension of quantum channels and operations to the space of relatively bounded operators, Operator -norms and their use, On completion of the cone of completely positive linear maps with respect to the energy-constrained diamond norm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
• Quantum systems, channels, information. A mathematical introduction.
• A continuity theorem for Stinespring's dilation
• On the generators of quantum dynamical semigroups
• Quantum dynamical semigroups and the neutron diffusion equation
• Sufficient conditions for conservativity of minimal quantum dynamical semigroups
• Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use
• On the structure of covariant dynamical semigroups
• On the energy-constrained diamond norm and its application in quantum information theory
• Convergence rates for quantum evolution and entropic continuity bounds in infinite dimensions
• Statistical Structure of Quantum Theory
• Generalized Kraus operators and generators of quantum dynamical semigroups
• Unbounded Generators of Dynamical Semigroups
• The Theory of Quantum Information
• Entanglement-Assisted Capacities of Constrained Quantum Channels
• On approximation of infinite-dimensional quantum channels
• Completely positive dynamical semigroups of N-level systems
• Geometry of Quantum States
• Quantum Information Theory
• Operator Theory