Subjective probability and quantum certainty

  title={Subjective probability and quantum certainty},
  author={Carlton M. Caves and Christopher A. Fuchs and R. Schack},
  journal={Studies in History and Philosophy of Modern Physics},
Quantum-Bayesian Coherence
It is argued that the Born Rule should be seen as an empirical addition to Bayesian reasoning itself, and how to view it as a normative rule in addition to usual Dutch-book coherence is shown.
A Quantum-Bayesian Route to Quantum-State Space
In the quantum-Bayesian approach to quantum foundations, a quantum state is viewed as an expression of an agent’s personalist Bayesian degrees of belief, or probabilities, concerning the results of
Subjectivists About Quantum Probabilities Should Be Realists About Quantum States
  • Waybe C. Myrvold
  • Philosophy
    Jerusalem Studies in Philosophy and History of Science
  • 2020
This chapter will argue that the arguments for realism about quantum states go through when the probabilities involved are taken to be subjective, if the conclusion is about the agent’s beliefs: an agent whose credences conform to quantum probabilities should believe that preparation procedures with which she associates distinct pure quantum states produce distinct states of reality.
Einstein, Incompleteness, and the Epistemic View of Quantum States
It is shown that for models wherein the quantum state has the status of something real, the failure of locality can be established through an argument considerably more straightforward than Bell’s theorem.
Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference
Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as it has been developed so far is not complete. Whereas the manner in which inferences are made in
Are quantum-mechanical-like models possible, or necessary, outside quantum physics?
This article examines some experimental conditions that invite and possibly require recourse to quantum-mechanical-like mathematical models (QMLMs), models based on the key mathematical features of
Quantum Knowledge, Quantum Belief, Quantum Reality: Notes of a QBist Fellow Traveler
I consider the "Quantum Bayesian" view of quantum theory as expounded in a 2006 paper of Caves, Fuchs, and Schack. I argue that one can accept a generally personalist, decision-theoretic view of
Objective Probability and Quantum Fuzziness
This paper offers a critique of the Bayesian interpretation of quantum mechanics with particular focus on a paper by Caves, Fuchs, and Schack containing a critique of the “objective preparations
Quantum Bayesianism: A study


Quantum probabilities as Bayesian probabilities
In the Bayesian approach to probability theory, probability quantifies a degree of belief for a single trial, without any a priori connection to limiting frequencies. In this paper, we show that,
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Two results are motivate and review two results that generalize de Finetti's theorem to the quantum mechanical setting: a definetti theorem for quantum states and a de Fintti theorem forquantum operations.
Facts, Values and Quanta
Quantum mechanics is a fundamentally probabilistic theory (at least so far as the empirical predictions are concerned). It follows that, if one wants to properly understand quantum mechanics, it is
Unknown Quantum States: The Quantum de Finetti Representation
We present an elementary proof of the quantum de Finetti representation theorem, a quantum analog of de Finetti’s classical theorem on exchangeable probability assignments. This contrasts with the
Conditional Density Operators and the Subjectivity of Quantum Operations
Assuming that quantum states, including pure states, represent subjective degrees of belief rather than objective properties of systems, the question of what other elements of the quantum formalism
Evidence for the epistemic view of quantum states: A toy theory
We present a toy theory that is based on a simple principle: the number of questions about the physical state of a system that are answered must always be equal to the number that are unanswered in a
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In this paper, I try once again to cause some good-natured trouble. The issue remains, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicion
Philosophical Aspects of Quantum Information Theory 1
Quantum information theory represents a rich subject of discussion for those interested in the philosphical and foundational issues surrounding quantum mechanics for a simple reason: one can cast its
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The nondeterministic character of quantum measurement can, and should, be taken to imply a deeper ‘hidden variable’ description of a system, which reproduces quantum theory when the unknown values of