Quantum information deals with the way information can be processed, stored and exchanged using the laws of quantum mechanics. According to these laws quantum systems can exist in delicate superpositions of several possible states, any observation of which results in a probabilistic outcome. This has tremendous consequences for the way information can be manipulated on the smallest scale. The field of quantum computing was born in the late 20th century when quantum algorithms for search and efficient factoring were discovered. Quantum information theory then grew into an interdisciplinary field with applications and connections to several branches of mathematics, such as complexity theory, functional analysis and probability theory.
The main focus of the workshop was mathematics of quantum information theory. However, the workshop also highlighted its connections with three additional topics, each of which is of current high and active interest:
- geometric functional analysis,
- (approximate) representation theory,
- quantum Markov processes.
The workshop was aimed at bringing together experts from these communities, exploring problems that emerge at their cross-section, and catalyzing new collaborations.