Quantum Information and Probability: My Collaboration with Professor Ingarden

Abstract

I first met Professor Ingarden nearly 30 years ago. Since then, he visited my University in Tokyo many times and I also often visited him in Toruń. In this paper, I will recall our scientific collaboration and I will review what I have done under his advice. Moreover, I will report on my recent work with A. Khrennikov on formulating new probability law appearing in the context-dependent adaptive systems, important e.g. in biology.