Borivoje Dakic: Information-theoretic foundations of quantum particle statistics
The main objective of this research project is to employ an information-theoretic route to the foundations of Fock space and quantum particle statistics. In contrast to the standard approach of postulating the Hilbert space and unitary transformations, the information-based (operational) approach offers a novel perspective on the mathematical formalism, i.e. to see it as the framework that encapsulates the laws of quantum information processing. Our main research goal is to define a comprehensible operational framework for quantum indistinguishable particles without referring to the mathematics of Fock space per se. In addition to foundational goals, our aim is to study the role of indistinguishability of quantum particles in quantum information-processing with the main focus on quantum communication in Fock space.
Thanks to the ESQ this project has been funded despite its very foundational character.