Whose Probabilities? About What? A Reply to Khrennikov

• URL: http://arxiv.org/abs/2302.09475v1
• Date: Sun, 19 Feb 2023 04:33:23 GMT
• Title: Whose Probabilities? About What? A Reply to Khrennikov
• Authors: Blake C. Stacey
• Abstract summary: In a recent article, Khrennikov claims that a particular theorem about agreement between quantum measurement results poses a problem for the interpretation of quantum mechanics known as QBism. Considering the basic setup of that theorem in light of the meaning that QBism gives to probability shows that the claim is unfounded.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In a recent article, Khrennikov claims that a particular theorem about agreement between quantum measurement results poses a problem for the interpretation of quantum mechanics known as QBism. Considering the basic setup of that theorem in light of the meaning that QBism gives to probability shows that the claim is unfounded.

Related papers

• An analysis of Wigner's friend in the framework of quantum mechanics based on the principle of typicality [0.0]
  We make an analysis of the Wigner's friend paradox in the framework of quantum mechanics based on the principle of typicality.<n>We also make a prediction, which is testable in principle, about its variant proposed by Deutsch.
  arXiv  Detail & Related papers  (2025-09-09T15:06:58Z)
• A decision-theoretic approach to dealing with uncertainty in quantum mechanics [39.146761527401424]
  We provide a decision-theoretic framework for dealing with uncertainty in quantum mechanics.<n>We show that measurements play the role of acts with an uncertain outcome.<n>We discuss the mathematical implications of our findings.
  arXiv  Detail & Related papers  (2025-03-26T14:53:06Z)
• Quantum Probabilities Are Objective Degrees of Epistemic Justification [0.0]
  QBism is one of the most widely discussed'subjective' interpretations of quantum mechanics. This paper takes QBism as a starting point, but allows objectivity to enter from the get-go.
  arXiv  Detail & Related papers  (2024-10-24T22:07:34Z)
• Another quantum version of Sanov theorem [53.64687146666141]
  We study how to extend Sanov theorem to the quantum setting. We propose another quantum version of Sanov theorem by considering the quantum analog of the empirical distribution.
  arXiv  Detail & Related papers  (2024-07-26T07:46:30Z)
• Testing trajectory-based determinism via time probability distributions [44.99833362998488]
  Bohmian mechanics (BM) has inherited more predictive power than quantum mechanics (QM) We introduce a prescription for constructing a flight-time probability distribution within generic trajectory-equipped theories. We derive probability distributions that are unreachable by QM.
  arXiv  Detail & Related papers  (2024-04-15T11:36:38Z)
• On probabilities in quantum mechanics [0.0]
  I first take up the probability concept in the QBist school, and then give my own arguments for the Born formula for calculating quantum probabilities. In that connection I also sketch some consequences of my approach towards the foundation and interpretation of quantum theory.
  arXiv  Detail & Related papers  (2024-01-31T10:20:25Z)
• When will two agents agree on a quantum measurement outcome? Intersubjective agreement in QBism [0.0]
  QBism's personalist theory of quantum measurement is invalidated by Ozawa's so-called intersubjectivity theorem. This paper refutes Khrennikov's claim by showing that it is not Ozawa's mathematical theorem but an additional assumption made by Khrennikov that QBism is incompatible with.
  arXiv  Detail & Related papers  (2023-12-12T20:44:14Z)
• Two Results in the Quantum Theory of Measurements [44.99833362998488]
  The first one clarifies and amends von Neumann's Measurement Postulate used in the Copenhagen interpretation of quantum mechanics. The second one clarifies the relationship between events'' and measurements'' and the meaning of measurements in the $ETH$-Approach to quantum mechanics.
  arXiv  Detail & Related papers  (2023-12-01T14:05:04Z)
• Connecting classical finite exchangeability to quantum theory [69.62715388742298]
  Exchangeability is a fundamental concept in probability theory and statistics. We show how a de Finetti-like representation theorem for finitely exchangeable sequences requires a mathematical representation which is formally equivalent to quantum theory.
  arXiv  Detail & Related papers  (2023-06-06T17:15:19Z)
• Quantum dissipation and the virial theorem [22.1682776279474]
  We study the celebrated virial theorem for dissipative systems, both classical and quantum. The non-Markovian nature of the quantum noise leads to novel bath-induced terms in the virial theorem. We also consider the case of an electrical circuit with thermal noise and analyze the role of non-Markovian noise in the context of the virial theorem.
  arXiv  Detail & Related papers  (2023-02-23T13:28:11Z)
• Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
  Two particles are identical if all their intrinsic properties, such as spin and charge, are the same. Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles. We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
  arXiv  Detail & Related papers  (2021-05-10T13:11:59Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• On the assumptions underlying KS-like contradictions [0.0]
  The Kochen-Specker theorem is one of the fundamental no-go theorems in quantum theory. We examine the hypotheses that, at the ontological level, lead to the KochenSpecker contradiction.
  arXiv  Detail & Related papers  (2021-03-11T17:56:05Z)
• Impossibility of creating a superposition of unknown quantum states [16.467540842571328]
  We show that the existence of a protocol that superposes two unknown pure states with nonzero probability leads to violation of other no-go theorems. Such a protocol can be used to perform certain state discrimination and cloning tasks that are forbidden in quantum theory.
  arXiv  Detail & Related papers  (2020-11-04T13:25:42Z)
• Using Quantum Metrological Bounds in Quantum Error Correction: A Simple Proof of the Approximate Eastin-Knill Theorem [77.34726150561087]
  We present a proof of the approximate Eastin-Knill theorem, which connects the quality of a quantum error-correcting code with its ability to achieve a universal set of logical gates. Our derivation employs powerful bounds on the quantum Fisher information in generic quantum metrological protocols.
  arXiv  Detail & Related papers  (2020-04-24T17:58:10Z)
• On Quantum Bayesianism [0.0]
  This article presents analysis of some aspects of QBism. The main quantum mechanical conundrum of measurement and the observer is, contrary to the claims, not resolved within the framework of QBism.
  arXiv  Detail & Related papers  (2020-03-24T01:20:25Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.