Alice and Bob Meet Banach

Description:

The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twenty-first century, and quantum information theory (QIT) provides the mathematical framework for that quest. Over the last dozen or so years, it has become clear that quantum information theory is closely linked to geometric functional analysis (Banach space theory, operator spaces, high-dimensional probability), a field also known as asymptotic geometric analysis (AGA). In a nutshell, asymptotic geometric analysis investigates quantitative properties of convex sets, or other geo.

subjects: Geometry, analytic,  Quantum theory,  Functional analysis,  Geometric analysis,  Normed linear spaces and Banach spaces; Banach lattices,  Convex and discrete geometry,  General convexity,  Axiomatics, foundations, philosophy,  Local theory of Banach spaces,  Probabilistic methods in Banach space theory,  Discrete geometry,  Packing and covering in $n$ dimensions,  Probability theory and stochastic processes,  Probability theory on algebraic and topological structures,  Random matrices (probabilistic aspects; for algebraic aspects see 15B52),  Quantum coherence, entanglement, quantum correlations