Towards Infinite Dimension and Beyond in Quantum Information (24w5274)


(Universitat Autònoma de Barcelona)

(University of Cambridge)

Nilanjana Datta (University of Cambridge)

(University of Amsterdam)


The Institute of Mathematics at the University of Granada will host the "Towards Infinite Dimension and Beyond in Quantum Information" workshop at the University of Granada (IMAG) in Spain, from May 5 - 10, 2024.

Functional analysis is the field of mathematics dealing with linear structures, their geometry and topology, and usually in infinite dimensions. As such, it is hardly surprising that it should provide the language to describe quantum mechanics, which it has done from the historical beginnings of the latter (cue: Hilbert spaces, etc). But the flux of mathematical ideas is not unidirectional: on the contrary, operator algebras, operator spaces and operator systems owe their motivations to quantum physics.

Exhiliaratingly, for mathematicians and physicists alike, this mutual fertilization continues a century on from the creation of quantum mechanics, and is currently most strongly felt in certain questions of quantum information theory. Our workshop will explore the most recent interactions of functional analysis and quantum information.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. BIRS is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).