Links between geometric functional analysis and quantum information theory | S. Szarek | Лекториум
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71 день – 4 3325:55Опубликовано 3 ноября 2013, 19:00
Links between geometric functional analysis and quantum information theory | Лектор: S. Szarek | Организатор: Математическая лаборатория имени П.Л.Чебышева
Смотрите это видео на Лекториуме: lektorium.tv/lecture/14788
Quantum Information theory (QIT) provides theoretical underpinnings for the project of building a quantum computer, one of the major scientific and technological challenges of the 21st century. Over the last decade it became clear that QIT enjoys very close links to geometric functionalanalysis, for example to Banach space theory and to the theory of operator spaces.
In this talk we will exemplify these links by showing how the questions about additivity properties of quantum channels, solved by Hayden/Winterand Hastings in 2008 and 2009, can be reformulated (and answered) as instances of Dvoretzky's theorem on almost spherical sections of convex bodies. (Based on joint work with G. Aubrun and E. Werner.)
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Смотрите это видео на Лекториуме: lektorium.tv/lecture/14788
Quantum Information theory (QIT) provides theoretical underpinnings for the project of building a quantum computer, one of the major scientific and technological challenges of the 21st century. Over the last decade it became clear that QIT enjoys very close links to geometric functionalanalysis, for example to Banach space theory and to the theory of operator spaces.
In this talk we will exemplify these links by showing how the questions about additivity properties of quantum channels, solved by Hayden/Winterand Hastings in 2008 and 2009, can be reformulated (and answered) as instances of Dvoretzky's theorem on almost spherical sections of convex bodies. (Based on joint work with G. Aubrun and E. Werner.)
Подписывайтесь на канал: lektorium.tv/ZJA
Следите за новостями:
vk.com/openlektorium
facebook.com/openlektorium
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