References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt152",{id:"formSmash:upper:j_idt152",widgetVar:"widget_formSmash_upper_j_idt152",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt153_j_idt156",{id:"formSmash:upper:j_idt153:j_idt156",widgetVar:"widget_formSmash_upper_j_idt153_j_idt156",target:"formSmash:upper:j_idt153:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Studies in plausibility theory, with applications to physicsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2007 (English)Doctoral thesis, comprehensive summary (Other scientific)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Stockholm: KTH , 2007. , xv, 105 p.
##### Series

Trita-ICT/MAP, 2007:6
##### Keyword [en]

Bayesian probability theory, quantum theory, state assignment, state estimation
##### National Category

Physical Sciences
##### Identifiers

URN: urn:nbn:se:kth:diva-4421ISBN: 978-91-7178-688-3OAI: oai:DiVA.org:kth-4421DiVA: diva2:12252
##### Public defence

2007-06-12, D, Forum, Isafjordsgatan 39, Kista, 10:00
##### Opponent

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##### Supervisors

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#####

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##### Note

QC 20100816Available from: 2007-06-04 Created: 2007-06-04 Last updated: 2010-08-16Bibliographically approved
##### List of papers

The discipline usually called `probability theory' can be seen as the theory which describes and sets standard norms to the way we reason about plausibility. From this point of view, this `plausibility theory' is a province of logic, and the following informal proportion subsists:

plausibility theory is to the common notion of `plausibility', as deductive logic is to the common notion of `truth'.

Some studies in plausibility theory are here offered. An alternative view and mathematical formalism for the problem of induction (the prediction of uncertain events from similar, certain ones) is presented. It is also shown how from plausibility theory one can derive a mathematical framework, based on convex geometry, for the description of the predictive properties of physical theories. Within this framework, problems like state assignment - for any physical theory - find simple and clear algorithms, numerical examples of which are given for three-level quantum systems. Plausibility theory also gives insights on various fashionable theorems, like Bell’s theorem, and various fashionable `paradoxes', like Gibbs' paradox.

1. Consistency of the Shannon entropy in quantum experiments$(function(){PrimeFaces.cw("OverlayPanel","overlay12241",{id:"formSmash:j_idt503:0:j_idt507",widgetVar:"overlay12241",target:"formSmash:j_idt503:0:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Distinguishability of non-orthogonal density matrices does not imply violations of the second law$(function(){PrimeFaces.cw("OverlayPanel","overlay12242",{id:"formSmash:j_idt503:1:j_idt507",widgetVar:"overlay12242",target:"formSmash:j_idt503:1:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

3. Schrödinger-cat states: size classification based on evolution or dissipation$(function(){PrimeFaces.cw("OverlayPanel","overlay12243",{id:"formSmash:j_idt503:2:j_idt507",widgetVar:"overlay12243",target:"formSmash:j_idt503:2:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

4. Why can states and measurement outcomes be represented as vectors?$(function(){PrimeFaces.cw("OverlayPanel","overlay12244",{id:"formSmash:j_idt503:3:j_idt507",widgetVar:"overlay12244",target:"formSmash:j_idt503:3:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

5. Probability tables$(function(){PrimeFaces.cw("OverlayPanel","overlay12245",{id:"formSmash:j_idt503:4:j_idt507",widgetVar:"overlay12245",target:"formSmash:j_idt503:4:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

6. On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge$(function(){PrimeFaces.cw("OverlayPanel","overlay12214",{id:"formSmash:j_idt503:5:j_idt507",widgetVar:"overlay12214",target:"formSmash:j_idt503:5:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

7. 'Plausibilities of plausibilities': an approach through circumstances$(function(){PrimeFaces.cw("OverlayPanel","overlay12215",{id:"formSmash:j_idt503:6:j_idt507",widgetVar:"overlay12215",target:"formSmash:j_idt503:6:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

8. The Laplace-Jaynes approach to induction$(function(){PrimeFaces.cw("OverlayPanel","overlay12218",{id:"formSmash:j_idt503:7:j_idt507",widgetVar:"overlay12218",target:"formSmash:j_idt503:7:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

9. Numerical Bayesian state assignment for a three-level quantum system: I. Absolute-frequency data; constant and Gaussian-like priors$(function(){PrimeFaces.cw("OverlayPanel","overlay12249",{id:"formSmash:j_idt503:8:j_idt507",widgetVar:"overlay12249",target:"formSmash:j_idt503:8:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

10. Numerical Bayesian quantum-state assignment for a three-level quantum system: II. Average-value data with a constant, a Gaussian-like, and a Slater prior$(function(){PrimeFaces.cw("OverlayPanel","overlay12217",{id:"formSmash:j_idt503:9:j_idt507",widgetVar:"overlay12217",target:"formSmash:j_idt503:9:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

11. A size criterion for macroscopic superposition states$(function(){PrimeFaces.cw("OverlayPanel","overlay12251",{id:"formSmash:j_idt503:10:j_idt507",widgetVar:"overlay12251",target:"formSmash:j_idt503:10:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt1196",{id:"formSmash:lower:j_idt1196",widgetVar:"widget_formSmash_lower_j_idt1196",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt1197_j_idt1199",{id:"formSmash:lower:j_idt1197:j_idt1199",widgetVar:"widget_formSmash_lower_j_idt1197_j_idt1199",target:"formSmash:lower:j_idt1197:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});