Introducing the Q-based interpretation of quantum theory

• URL: http://arxiv.org/abs/2106.13502v1
• Date: Fri, 25 Jun 2021 08:46:24 GMT
• Title: Introducing the Q-based interpretation of quantum theory
• Authors: Simon Friederich
• Abstract summary: I motivate the Q-based interpretation, investigate whether it is empirically adequate, and outline some of its key conceptual features. I argue that the Q-based interpretation is attractive in that it promises having no measurement problem, is conceptually parsimonious and has the potential to apply elegantly to relativistic and field-theoretic contexts.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This article outlines a novel interpretation of quantum theory: the Q-based interpretation. The core idea underlying this interpretation, recently suggested for quantum field theories by Drummond and Reid [2020], is to interpret the phase space function Q -- a transform of the better known Wigner function -- as a proper probability distribution, roughly analogous to the probability distribution \rho in classical statistical mechanics. Here I motivate the Q-based interpretation, investigate whether it is empirically adequate, and outline some of its key conceptual features. I argue that the Q-based interpretation is attractive in that it promises having no measurement problem, is conceptually parsimonious and has the potential to apply elegantly to relativistic and field-theoretic contexts.

Related papers

• A Short Report on the Probability-Based Interpretation of Quantum Mechanics [0.0]
  Popper notices how fundamental issues raised in quantum mechanics (QM) directly derive from unresolved probabilistic questions. This paper offers a brief overview of the structural theory of probability, recently published in a book, and applies it to QM in order to show its completeness. The whole probability-based interpretation of QM goes beyond the limits of a paper and these pages condense a few aspects of this theoretical scheme.
  arXiv  Detail & Related papers  (2023-11-05T16:08:33Z)
• Advantages of quantum mechanics in the estimation theory [0.0]
  In quantum theory, the situation with operators is different due to its non-commutativity nature. We formulate, with complete generality, the quantum estimation theory for Gaussian states in terms of their first and second moments.
  arXiv  Detail & Related papers  (2022-11-13T18:03:27Z)
• Light-shift induced behaviors observed in momentum-space quantum walks [47.187609203210705]
  We present a theoretical model which proves that the coherent dynamics of the spinor condensate is sufficient to explain the experimental data. Our numerical findings are supported by an analytical prediction for the momentum distributions in the limit of zero-temperature condensates.
  arXiv  Detail & Related papers  (2022-05-16T14:50:05Z)
• Theory of Quantum Generative Learning Models with Maximum Mean Discrepancy [67.02951777522547]
  We study learnability of quantum circuit Born machines (QCBMs) and quantum generative adversarial networks (QGANs) We first analyze the generalization ability of QCBMs and identify their superiorities when the quantum devices can directly access the target distribution. Next, we prove how the generalization error bound of QGANs depends on the employed Ansatz, the number of qudits, and input states.
  arXiv  Detail & Related papers  (2022-05-10T08:05:59Z)
• On the Interpretation of Quantum Indistinguishability : a No-Go Theorem [0.0]
  Physicists are yet to reach a consensus on the interpretation of a quantum wavefunction. We show that quantum mechanical prediction of maximal violation of Mermin inequality is incompatible with all ontological interpretations for quantum theory.
  arXiv  Detail & Related papers  (2022-04-20T18:39:25Z)
• Why we should interpret density matrices as moment matrices: the case of (in)distinguishable particles and the emergence of classical reality [69.62715388742298]
  We introduce a formulation of quantum theory (QT) as a general probabilistic theory but expressed via quasi-expectation operators (QEOs) We will show that QT for both distinguishable and indistinguishable particles can be formulated in this way. We will show that finitely exchangeable probabilities for a classical dice are as weird as QT.
  arXiv  Detail & Related papers  (2022-03-08T14:47:39Z)
• Theorems motivated by foundations of quantum mechanics and some of their applications [0.0]
  This paper provides theorems aimed at shedding light on issues in the foundations of quantum mechanics. theorems can be used to propose new interpretations to the theory, or to better understand, evaluate and improve current interpretations.
  arXiv  Detail & Related papers  (2022-02-02T21:55:57Z)
• Quantum realism: axiomatization and quantification [77.34726150561087]
  We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory. We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
  arXiv  Detail & Related papers  (2021-10-10T18:08:42Z)
• Conceptual variables, quantum theory, and statistical inference theory [0.0]
  A different approach towards quantum theory is proposed in this paper. The basis is to be conceptual variables, physical variables that may be accessible or inaccessible, i.e., it may be possible or impossible to assign numerical values to them.
  arXiv  Detail & Related papers  (2020-05-15T08:08:55Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)
• Quantum-like modeling of the order effect in decision making: POVM viewpoint on the Wang-Busemeyer QQ-equality [77.34726150561087]
  Wang and Busemeyer invented a quantum model and approach as well as non-parametric equality (so-called QQ-equality) This note is to test the possibility to expand the Wang-Busemeyer model by considering questions which are mathematically represented by positive operator valued measures. But, we also showed that, in principle, it is possible to reduce expanded model to the original Wang-Busemeyer model by expanding the context of the questions.
  arXiv  Detail & Related papers  (2018-10-31T18:11:37Z)

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.