Dr. Robert W. Spekkens
University of Cambridge
Project Title
Operational probabilistic theories as foils to quantum theory
Co-Investigators
Jonathan Barrett, Perimeter Institute
Anthony Short, University of Bristol
Project Summary
The interpretation of quantum theory is a subject of significant controversy; there is simply no agreement about what this abstract mathematical theory is telling us about the nature of reality. One strategy for progress on this front is to try to identify a set of physical principles that are sufficient to derive all aspects of the theory, to pick it out from a set of alternatives - foils against which it can be compared. Ideally, one would like to consider the broadest possible class of such foil theories. Typically, however, one's preconceptions and tacit assumptions about the nature of reality tend to restrict this class. To avoid this pitfall, it is useful to describe theories entirely in terms of the observable consequences of experimental procedures, that is, operationally. Recent research into operational probabilistic theories has been improving our understanding of quantum theory. However, thus far this research has been fragmented and focused on particular foil theories rather than on identifying the similarities and differences of broad classes of such theories. This workshop will bring together researchers with a diversity of approaches to share techniques and results, investigate connections between different programs of research, and broaden our perspectives on the issues.
Technical Abstract
There exists a widespread feeling that something is missing from our understanding of quantum theory. The standard textbook axioms for the quantum formalism are of a highly abstract and mathematical nature, and traditional approaches in the foundations of quantum theory, which attempt to associate elements of the formalism directly with reality, have not produced consensus. An alternative approach is to try to improve our understanding of quantum theory by viewing it within a context of other possible theories (including those that do not describe our universe), and contrasting the alternatives. Important questions to ask include: Which features are specific to quantum theory and which are generic? What are the information processing possibilities in different theories? Which physical principles can be used to identify quantum theory uniquely? Using an operational framework for probabilistic theories introduced by Hardy, these questions can be asked in a precise mathematical context while focusing on physical principles rather than abstract mathematical axioms. The aim of the workshop is to bring together physicists who have investigated some of these questions, to establish common ground and an understanding of what has already been achieved, and to facilitate intense interaction so that further progress can be made.
Hide Technical Abstract
There exists a widespread feeling that something is missing from our understanding of quantum theory. The standard textbook axioms for the quantum formalism are of a highly abstract and mathematical nature, and traditional approaches in the foundations of quantum theory, which attempt to associate elements of the formalism directly with reality, have not produced consensus. An alternative approach is to try to improve our understanding of quantum theory by viewing it within a context of other possible theories (including those that do not describe our universe), and contrasting the alternatives. Important questions to ask include: Which features are specific to quantum theory and which are generic? What are the information processing possibilities in different theories? Which physical principles can be used to identify quantum theory uniquely? Using an operational framework for probabilistic theories introduced by Hardy, these questions can be asked in a precise mathematical context while focusing on physical principles rather than abstract mathematical axioms. The aim of the workshop is to bring together physicists who have investigated some of these questions, to establish common ground and an understanding of what has already been achieved, and to facilitate intense interaction so that further progress can be made.
Hide Technical Abstract
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