On Basic Principles of General Probabilistic Theories
APA
Kimura, G. (2011). On Basic Principles of General Probabilistic Theories. Perimeter Institute. https://pirsa.org/11050041
MLA
Kimura, Gen. On Basic Principles of General Probabilistic Theories. Perimeter Institute, May. 09, 2011, https://pirsa.org/11050041
BibTex
@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}} }
National Institute of Advanced Industrial Science and Technology
Talk Type
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.