Quantum-Bayesian Coherence

@article{Fuchs2009QuantumBayesianC,
  title={Quantum-Bayesian Coherence},
  author={Christopher A. Fuchs and R. Schack},
  journal={arXiv: Quantum Physics},
  year={2009}
}
  • C. Fuchs, R. Schack
  • Published 2009
  • Physics, Mathematics, Computer Science
  • arXiv: Quantum Physics
In a quantum-Bayesian take on quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. But if not, what is the role of the rule? In this paper, we argue that it should be seen as an empirical addition to Bayesian reasoning itself. Particularly, we show how to view the Born Rule as a normative rule in addition to usual Dutch-book coherence. It is a rule that takes into account how one should assign… Expand

Figures from this paper

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 ofExpand
Single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties
Within ordinary ---unitary--- quantum mechanics there exist global protocols that allow to verify that no definite event ---an outcome to which a probability can be associated--- occurs. Instead,Expand
Bayesian Conditioning, the Reflection Principle, and Quantum Decoherence ∗
The probabilities a Bayesian agent assigns to a set of events typically change with time, for instance when the agent updates them in the light of new data. In this paper we address the question ofExpand
The Born Rule as Dutch-Book Coherence (and only a little more)
The subjective Bayesian interpretation of probability asserts that the rules of the probability calculus follow from the normative principle of Dutch-book coherence: A decision-making agent shouldExpand
Quantum causal models via quantum Bayesianism
TLDR
This framework interprets causality as a relation between an observer's probability assignments in counterfactual experiments, and finds that the causal structure of quantum systems must have a layered structure, and that the model can naturally be made symmetric under reversal of the causal arrows. Expand
Subjectivists About Quantum Probabilities Should Be Realists About Quantum States
TLDR
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. Expand
Why Current Interpretations of Quantum Mechanics are Deficient
Quantum mechanics under the Copenhagen interpretation is one of the most experimentally well verified formalisms. However, it is known that the interpretation makes explicit reference to externalExpand
Information-theoretic interpretation of quantum formalism
TLDR
It is concluded that quantum information, although dramatically expanding the scope of classical information, is not different from the information itself and is therefore a universal tool of reasoning. Expand
QBism, the Perimeter of Quantum Bayesianism
This article summarizes the Quantum Bayesian point of view of quantum mechanics, with special emphasis on the view's outer edges---dubbed QBism. QBism has its roots in personalist BayesianExpand
Are Non-Boolean Event Structures the Precedence or Consequence of Quantum Probability?
TLDR
This paper will avail of Pitowsky's program, along with its extensions in the work of Jeffrey Bub and William Demopoulos, to better explicate QBism's aims and goals. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 274 REFERENCES
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 ofExpand
Subjective probability and quantum certainty
TLDR
This paper investigates the concept of certainty in quantum mechanics and gives a version of an argument of Stairs, which applies the Kochen–Specker theorem to an entangled bipartite system. Expand
Probabilistic Theories: What Is Special about Quantum Mechanics?
Quantum Mechanics (QM) is a very special probabilistic theory, yet we don’t know which operational principles make it so. All axiomatization attempts suffer at least one postulate of a mathematicalExpand
QBism, the Perimeter of Quantum Bayesianism
This article summarizes the Quantum Bayesian point of view of quantum mechanics, with special emphasis on the view's outer edges---dubbed QBism. QBism has its roots in personalist BayesianExpand
Philosophy of Quantum Information and Entanglement: Probabilistic theories: What is special about Quantum Mechanics?
Quantum Mechanics (QM) is a very special probabilistic theory, yet we don't know which operational principles make it so. All axiomatization attempts suffer at least one postulate of a mathematicalExpand
Formulating 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. Classical probability theory is independent ofExpand
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 preparationsExpand
A remark on Fuchs' bayesian interpretation of quantum mechanics
Abstract Quantum mechanics is a theory whose foundations spark controversy to this day. Although many attempts to explain the underpinnings of the theory have been made, none has been unanimouslyExpand
Quantum Bayesianism: A study
The Bayesian approach to quantum mechanics of Caves, Fuchs and Schack is presented. Its conjunction of realism about physics along with anti-realism about much of the structure of quantum theory isExpand
Unknown Quantum States and Operations, a Bayesian View
TLDR
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. Expand
...
1
2
3
4
5
...