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Operator algebras meet Quantum information theory: a survey on factorizable channels and their applications

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Operator algebras meet Quantum information theory: a survey on factorizable channels and their applications
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14
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Factorizable quantum channels, introduced by C. Anantharaman-Delaroche within the framework of operator algebras, have proven to have important applications in the analysis of quantum information theory, leading also to reformulations of the Connes Embedding Problem. I will survey these results, and address the question whether (infinite dimensional) von Neumann algebras are really needed to describe such channels.