Noncommutative Poisson boundaries of unital quantum operations

DOI10.1063/1.3407600zbMath1310.81019OpenAlexW2058336454MaRDI QIDQ5249512

Bunrith Jacques Lim

Publication date: 6 May 2015

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

Full work available at URL: https://doi.org/10.1063/1.3407600

zbMATH Keywords

completely positive mapsKraus operatorsStinespring theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (7)

Some properties of generalized quantum operations ⋮ Approximation states and fixed points of quantum channels ⋮ The range of generalized quantum operations ⋮ Some characterizations of quantum channel in infinite Hilbert spaces ⋮ Fixed points of dual quantum operations ⋮ Fixed points of normal completely positive maps on B\((\mathcal H)\) ⋮ Characterizations of fixed points of quantum operations

Cites Work

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• Non-commutative Poisson boundaries and compact quantum group actions
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• Theory of operator algebras. II
• Quantum error correction on infinite-dimensional Hilbert spaces
• QUANTUM CHANNELS, WAVELETS, DILATIONS AND REPRESENTATIONS OF $\mathcal{O}_{n}$
• Pure states on O_d
• Fixed points of quantum operations

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