Non-Kolmogorovian probabilities and quantum contextuality: from foundations to quantum technologies

FEDERICO HOLIK

Vaxjo

Congreso; Quantum Information and Probability: from Foundations to Engineering (QIP23); 2023

In this talk we consider quantum theory as a non-Kolmogorovian probability calculus. From this perspective, we analyze quantum contextuality. This fundamental feature of quantum theory has received a lot of attention recently, given that it might be connected to the speed-up of quantum computers – a phenomenon which is not fully understood yet. We analyze different open problems from a conceptual standpoint, using the the non-Kolmogorovian probability approach as a tool [1]. Furthermore, we discuss how contextuality is distributed in states generated using quantum random circuits for different sets of elementary gates [2].[1] F. Holik. “Non-Kolmogorovian Probabilities and Quantum Technologies”. Entropy 2022, 24(11), 1666.[2] E. Monchietti, C. Massri, J.A. de Barros and F. Holik. “Measure-theoretic approach to negative probabilities”. arXiv:2302.00118 [quant-ph], 2023.