Related papers: Generalized Probabilistic Theories in a New Light

Generalized Probabilistic Theories in a New Light

URL: http://arxiv.org/abs/2106.05170v2
Date: Wed, 17 Aug 2022 19:57:47 GMT
Title: Generalized Probabilistic Theories in a New Light
Authors: Raed M. Shaiia
Abstract summary: A new answer to the question of why our universe is quantum mechanical rather than classical will be presented. This paper shows that there is still a possibility that there might be a deterministic level from which our universe emerges.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper, a modified formulation of generalized probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend this work to infinite dimensional Hilbert spaces are given. Moreover, this new formulation which will be called as extended operational probabilistic theories, applies not only to quantum systems, but also equally well to classical systems, without violating Bell's theorem, and at the same time solves the measurement problem. A new answer to the question of why our universe is quantum mechanical rather than classical will be presented. Besides, this extended probability theory shows that it is non determinacy, or to be more precise, the non deterministic description of the universe, that makes the laws of physics the way they are. In addition, this paper shows that there is still a possibility that there might be a deterministic level from which our universe emerges, which if understood correctly, may open the door wide to applications in areas such as quantum computing. In addition, this paper explains the deep reason why complex Hilbert spaces in quantum mechanics are needed.

Related papers

Quantum Probability Geometrically Realized in Projective Space [0.0]
This paper aims to pass all quantum probability formulas to the projective space associated to the complex Hilbert space of a given quantum system. The upshot is that quantum theory is the probability theory of projective subspaces, or equivalently, of quantum events.
arXiv Detail & Related papers (2024-10-23T20:29:15Z)
Completely Discretized, Finite Quantum Mechanics [0.0]
I propose a version of quantum mechanics featuring a discrete and finite number of states that is plausibly a model of the real world. The model is based on standard unitary quantum theory of a closed system with a finite-dimensional Hilbert space.
arXiv Detail & Related papers (2023-07-21T22:11:59Z)
Quantum Instability [30.674987397533997]
We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
arXiv Detail & Related papers (2022-08-05T19:53:46Z)
Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
arXiv Detail & Related papers (2022-04-24T13:32:45Z)
Discretised Hilbert Space and Superdeterminism [0.0]
In computational physics it is standard to approximate continuum systems with discretised representations. We consider a specific discretisation of the continuum complex Hilbert space of quantum mechanics.
arXiv Detail & Related papers (2022-04-07T18:00:07Z)
The de Broglie-Bohm Quantum Theory and its Application to Quantum Cosmology [0.0]
We review the de Broglie-Bohm quantum theory. It is an alternative description of quantum phenomena in accordance with all the quantum experiments already performed.
arXiv Detail & Related papers (2021-11-04T17:59:20Z)
Gentle Measurement as a Principle of Quantum Theory [9.137554315375919]
We propose the gentle measurement principle (GMP) as one of the principles at the foundation of quantum mechanics. We show, within the framework of general probabilistic theories, that GMP imposes strong restrictions on the law of physics.
arXiv Detail & Related papers (2021-03-28T11:59:49Z)
Ruling out real-valued standard formalism of quantum theory [19.015836913247288]
A quantum game has been developed to distinguish standard quantum theory from its real-number analog. We experimentally implement the quantum game based on entanglement swapping with a state-of-the-art fidelity of 0.952(1). Our results disprove the real-number formulation and establish the indispensable role of complex numbers in the standard quantum theory.
arXiv Detail & Related papers (2021-03-15T03:56:13Z)
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)
Characterization of the probabilistic models that can be embedded in quantum theory [0.0]
We show that only classical and standard quantum theory with superselection rules can arise from a physical decoherence map. Our results have significant consequences for some experimental tests of quantum theory, by clarifying how they could (or could not) falsify it.
arXiv Detail & Related papers (2020-04-13T18:09:39Z)
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)

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