A Short Report on the Probability-Based Interpretation of Quantum Mechanics
- URL: http://arxiv.org/abs/2311.04233v2
- Date: Fri, 28 Jun 2024 09:50:11 GMT
- Title: A Short Report on the Probability-Based Interpretation of Quantum Mechanics
- Authors: Paolo Rocchi,
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This paper calls attention to the current state of the probability (P) domain which presents weak points at the mathematical level and more significant flaws at the application level. Popper notices how fundamental issues raised in quantum mechanics (QM) directly derive from unresolved probabilistic questions. Endless philosophical debates create more problems than solutions, so the author of this research suggests going directly to the root of the issues and searching for the probability theory which formalizes the multifold nature of P. 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. The double slit experiment is used to corroborate the theorems presented here.
Related papers
- Generalized Quantum Stein's Lemma and Second Law of Quantum Resource Theories [47.02222405817297]
A fundamental question in quantum information theory is whether an analogous second law can be formulated to characterize the convertibility of resources for quantum information processing by a single function.
In 2008, a promising formulation was proposed, linking resource convertibility to the optimal performance of a variant of the quantum version of hypothesis testing.
In 2023, a logical gap was found in the original proof of this lemma, casting doubt on the possibility of such a formulation of the second law.
arXiv Detail & Related papers (2024-08-05T18:00:00Z) - On the applicability of Kolmogorov's theory of probability to the description of quantum phenomena. Part I [0.0]
I show that it is possible to construct a mathematically rigorous theory based on Kolmogorov's axioms and physically natural random variables.
The approach can in principle be adapted to other classes of quantum-mechanical models.
arXiv Detail & Related papers (2024-05-09T12:11:28Z) - 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) - Logic meets Wigner's Friend (and their Friends) [49.1574468325115]
We take a fresh look at Wigner's Friend thought-experiment and some of its more recent variants and extensions.
We discuss various solutions proposed in the literature, focusing on a few questions.
arXiv Detail & Related papers (2023-07-04T13:31:56Z) - What is \textit{Quantum} in Probabilistic Explanations of the Sure Thing
Principle Violation? [0.0]
The Prisoner's Dilemma game (PDG) is one of the simple test-beds for the probabilistic nature of the human decision-making process.
Quantum probabilistic models can explain this violation as a second-order interference effect.
We discuss the role of other quantum information-theoretical quantities, such as quantum entanglement, in the decision-making process.
arXiv Detail & Related papers (2023-06-21T00:01:01Z) - 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) - 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) - 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 Information in Relativity: the Challenge of QFT Measurements [0.0]
Proposed quantum experiments in deep space will be able to explore quantum information issues in regimes where relativistic effects are important.
We argue that a proper extension of Quantum Information theory into the relativistic domain requires the expression of all informational notions.
arXiv Detail & Related papers (2021-11-15T18:48:42Z) - Introducing the Q-based interpretation of quantum theory [0.0]
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.
arXiv Detail & Related papers (2021-06-25T08:46:24Z) - 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.