Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation
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Publication:5141007
DOI10.1063/1.5134660zbMath1454.81044arXiv1712.03219OpenAlexW3102406196MaRDI QIDQ5141007
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.03219
Convergence and divergence of series and sequences (40A05) Operator spaces and completely bounded maps (46L07) Dilations, extensions, compressions of linear operators (47A20) Quantum channels, fidelity (81P47)
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Cites Work
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- Quantum systems, channels, information. A mathematical introduction.
- 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
- 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
- Sufficiency in quantum statistical inference
- Measures of correlations in infinite-dimensional quantum systems
- On lower semicontinuity of the entropic disturbance and its applications in quantum information theory
- REVERSIBILITY CONDITIONS FOR QUANTUM OPERATIONS
- Operational distance and fidelity for quantum channels
- The Private Classical Capacity and Quantum Capacity of a Quantum Channel
- Towards a Unified Approach to Information-Disturbance Tradeoffs in Quantum Measurements
- The Information-Disturbance Tradeoff and the Continuity of Stinespring's Representation
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
- Entanglement-Assisted Capacities of Constrained Quantum Channels
- On approximation of infinite-dimensional quantum channels
- Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy
- Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
- Positive Functions on C ∗ -Algebras
- Quantum Information Theory