A loose and separate certainty: Caves, Fuchs and Schack on quantum probability one
نویسنده
چکیده
Carlton Caves, Fuchs, and Schack (2002) have recently appealed to an argument of mine (Stairs, 1983) to address a problem for their subjective Bayesian account of quantum probability. The difficulty is that on the face of it, quantum mechanical probabilities of one appear to be objective, but in that case, the Born Rule would yield a continuum of probabilities between zero and one. If so, we end up with objective probabilities strictly between zero and one. The authors claim that objective probabilities of one leads to a dilemma: give up locality or fall into contradiction. I argue that this conclusion depends on an overly strong interpretation of objectivism about quantum probabilities. & 2011 Elsevier Ltd. All rights reserved. When citing this paper, please use the full journal title Studies in History and Philosophy of Modern Physics
منابع مشابه
Quantum Probability from Decision Theory?
In a recent paper, Deutsch [1] claims to derive the “probabilistic predictions of quantum theory” from the “non-probabilistic axioms of quantum theory” and the “non-probabilistic part of classical decision theory.” We show that his derivation fails because it includes hidden probabilistic assumptions.
متن کاملResource Material for Promoting the Bayesian View of Everything
Notes mainly for the use of CMC, Christopher A. Fuchs, and Rüdiger Schack, although anyone is welcome to make use of the notes and even buy in, in whole or in part, if he/she finds the notes convincing. Not everything here is endorsed by Fuchs and Schack, but it is all part of a joint program aimed at producing a Bayesian synthesis. Fuchs, in particular, probably disagrees with every statement ...
متن کاملQuantum Bayesianism: A Study
The Bayesian approach to quantummechanics of Caves, Fuchs and Schack is presented. Its conjunction of realism about physics along with antirealism about much of the structure of quantum theory is elaborated; and the position defended from common objections: that it is solipsist; that it is too instrumentalist; that it cannot deal with Wigner’s friend scenarios. Three more substantive problems a...
متن کاملEverettian rationality: defending Deutsch’s approach to probability in the Everett interpretation
An analysis is made of Deutsch’s recent claim to have derived the Born rule from decisiontheoretic assumptions. It is argued that Deutsch’s proof must be understood in the explicit context of the Everett interpretation, and that in this context, it essentially succeeds. Some comments are made about the criticism of Deutsch’s proof by Barnum, Caves, Finkelstein, Fuchs, and Schack; it is argued t...
متن کاملInformation-entropy trade-off for random vectors
The results here are based on formulae in the two appendices in R. Schack, C. M. Caves, and G. M. D’Ariano, “Hypersensitivity to perburbation in the quantum kicked top,” Phys. Rev. E 50, 972–987 (1994). The relevant equations in the two appendices are (A18) and (B5)–(B6). A preliminary version of the analysis here can be found at the end of Sec. V of R. Schack and C. M. Caves, “Information-theo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011