Random repeated quantum interactions and random invariant states

DOI10.1007/s00440-010-0323-6zbMath1238.15018arXiv0902.2634OpenAlexW2055881285MaRDI QIDQ664338

Ion Nechita, Clément Pellegrini

Publication date: 1 March 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2634

zbMATH Keywords

random matricesperipheral spectrumrandom quantum channelsquantum repeated interactionsrandom density matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Strong limit theorems (60F15) Random matrices (algebraic aspects) (15B52) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Other fundamental interactions in quantum theory (81V19)

Related Items (12)

Thermodynamic formalism for quantum channels: Entropy, pressure, Gibbs channels and generic properties ⋮ Markovian repeated interaction quantum systems ⋮ Application of Shemesh theorem to quantum channels ⋮ Linear response theory and entropic fluctuations in repeated interaction quantum systems ⋮ Generic properties for random repeated quantum iterations ⋮ Repeated and continuous interactions in open quantum systems ⋮ Random positive operator valued measures ⋮ Classical restrictions of generic matrix product states are quasi-locally Gibbsian ⋮ Random matrix techniques in quantum information theory ⋮ Unitary conjugation channels with continuous random phases ⋮ Classical noises emerging from quantum environments ⋮ Repeated interactions in open quantum systems

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