Quantum Theory as Symmetry Broken by Vitality
- URL: http://arxiv.org/abs/1907.02432v5
- Date: Mon, 2 Oct 2023 00:58:45 GMT
- Title: Quantum Theory as Symmetry Broken by Vitality
- Authors: Blake C. Stacey
- Abstract summary: I summarize a research program that aims to reconstruct quantum theory from a fundamental physical principle.
My primary goal is to clarify motivations, rather than to present a closed book of numbered theorems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: I summarize a research program that aims to reconstruct quantum theory from a
fundamental physical principle that, while a quantum system has no intrinsic
hidden variables, it can be understood using a reference measurement. This
program reduces the physical question of why the quantum formalism is
empirically successful to the mathematical question of why complete sets of
equiangular lines appear to exist in complex vector spaces when they do not
exist in real ones. My primary goal is to clarify motivations, rather than to
present a closed book of numbered theorems, and consequently the discussion is
more in the manner of a colloquium than a PRL.
Related papers
- What is "quantum" about quantum gravity? [0.0]
We argue that if both the equivalence principle and quantum mechanics continue to survive experimental tests, that this favors epistemic'' interpretations of quantum mechanics.
arXiv Detail & Related papers (2024-05-13T21:19:50Z) - Step-by-step derivation of the algebraic structure of quantum mechanics
(or from nondisturbing to quantum correlations by connecting incompatible
observables) [0.0]
This paper provides a step-by-step derivation of the quantum formalism.
It helps us to understand why this formalism is as it is.
arXiv Detail & Related papers (2023-03-08T19:27:24Z) - On a foundational conceptual principle of quantum mechanics [0.0]
Anton Zeilinger's "foundational conceptual principle" for quantum mechanics is an idealistic principle, which should be replaced by a realistic principle of contextuality.
We argue that the assumption of non-locality is not required to explain quantum correlation.
In contrast to Zeilinger's proposed principle of quantization of information, the principle of contextuality explains it realistically.
arXiv Detail & Related papers (2022-03-26T11:24:14Z) - Quantum tomography explains quantum mechanics [0.0]
A suggestive notion for what constitutes a quantum detector leads to a logically impeccable definition of measurement.
The various forms of quantum tomography for quantum states, quantum detectors, quantum processes, and quantum instruments are discussed.
The new approach is closer to actual practice than the traditional foundations.
arXiv Detail & Related papers (2021-10-11T14:09:30Z) - 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) - 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) - 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) - Self-adjointness in Quantum Mechanics: a pedagogical path [77.34726150561087]
This paper aims to make quantum observables emerge as necessarily self-adjoint, and not merely hermitian operators.
Next to the central core of our line of reasoning, the necessity of a non-trivial declaration of a domain to associate with the formal action of an observable.
arXiv Detail & Related papers (2020-12-28T21:19:33Z) - Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
We review a number of issues in foundations of quantum theory and quantum cosmology.
These issues can be considered as a part of the scientific legacy of H.D. Zeh.
arXiv Detail & Related papers (2020-06-28T18:07:59Z) - 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) - Symmetries in Foundation of Quantum Theory and Mathematics [0.0]
We consider finite quantum theory (FQT) where states are elements of a space over a finite ring or field with characteristic $p$ and operators of physical quantities act in this space.
We prove that, with the same approach to symmetry, FQT and finite mathematics are more general than standard quantum theory and classical mathematics.
arXiv Detail & Related papers (2020-03-05T04:46:04Z)
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.