PIRSA:11050041

On Basic Principles of General Probabilistic Theories

Kimura, G. (2011). On Basic Principles of General Probabilistic Theories. Perimeter Institute. https://pirsa.org/11050041

Kimura, Gen. On Basic Principles of General Probabilistic Theories. Perimeter Institute, May. 09, 2011, https://pirsa.org/11050041 

          @misc{ pirsa_PIRSA:11050041,
            doi = {10.48660/11050041},
            url = {https://pirsa.org/11050041},
            author = {Kimura, Gen},
            keywords = {Quantum Foundations},
            language = {en},
            title = {On Basic Principles of General Probabilistic Theories},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {may},
            note = {PIRSA:11050041 see, \url{https://pirsa.org}}
          }

Gen Kimura National Institute of Advanced Industrial Science and Technology

Talk numberPIRSA:11050041
DOI10.48660/11050041
Collection
Talk Type Conference
Subject

Abstract

We propose an operationally motivated definition of the physical equivalence of states in General Probabilistic Theories and consider the principle of the physical equivalence of pure states, which turns out to be equivalent to the symmetric structure of the state space. We further consider a principle of the decomposability with distinguishable pure states and give classification theorems of the state spaces for each principle, and derive the Bloch ball in 2 and 3 dimensional systems.