The Everett Interpretation: Probability
- URL: http://arxiv.org/abs/2103.03966v1
- Date: Fri, 5 Mar 2021 22:39:18 GMT
- Title: The Everett Interpretation: Probability
- Authors: Simon Saunders
- Abstract summary: Branching processes are identified as chance processes, and the squares of branch amplitudes are chances.
Since branching is emergent, physical probability is emergent as well.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The Everett interpretation of quantum mechanics divides naturally into two
parts: first, the interpretation of the structure of the quantum state, in
terms of branching, and second, the interpretation of this branching structure
in terms of probability. This is the second of two reviews of the Everett
interpretation, and focuses on probability. Branching processes are identified
as chance processes, and the squares of branch amplitudes are chances. Since
branching is emergent, physical probability is emergent as well.
Related papers
- Plateaux of probability for the expanded quantum infinite well [44.99833362998488]
In the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by C. Aslangul in 2008.
We introduce a mathematical framework to explain this phenomenon.
arXiv Detail & Related papers (2024-09-09T20:39:37Z) - 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 the evolution of expected values in open quantum systems [44.99833362998488]
We identify three factors contributing to the evolution of expected values.
In some cases, the non-thermal contributions to the energy rate of change can be expressed as the expected value of a Hermitian operator.
arXiv Detail & Related papers (2024-02-29T06:47:28Z) - Advantages of the Kirkwood-Dirac distribution among general
quasi-probabilities for finite-state quantum systems [0.8024120666398408]
We investigate features of the quasi-joint-probability distribution for finite-state quantum systems.
We show that the Kirkwood-Dirac distribution behaves nicely for the finite-state quantum systems.
arXiv Detail & Related papers (2023-09-13T09:35:42Z) - 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) - Branch-counting in the Everett Interpretation of quantum mechanics [0.0]
Well-known branch-counting rule, for realistic models of measurements, fails this test.
New rule hinges on the use of decoherence theory in defining branching structure.
arXiv Detail & Related papers (2022-01-16T16:50:07Z) - Non-standard entanglement structure of local unitary self-dual models as
a saturated situation of repeatability in general probabilistic theories [61.12008553173672]
We show the existence of infinite structures of quantum composite system such that it is self-dual with local unitary symmetry.
We also show the existence of a structure of quantum composite system such that non-orthogonal states in the structure are perfectly distinguishable.
arXiv Detail & Related papers (2021-11-29T23:37:58Z) - A generic approach to the quantum mechanical transition probability [0.0]
In quantum theory, the inner product of two normalized Hilbert space elements is to be interpreted as the transition probability between the pure states represented by these elements.
A very general version of the quantum no-cloning theorem, creating promising new opportunities for quantum cryptography is presented.
arXiv Detail & Related papers (2021-10-25T09:32:41Z) - 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) - The Everett Interpretation: Structure [0.0]
This is the first of two reviews of the Everett interpretation.
Written in terms of the quantum histories formalism, decoherence theory just is the theory of branching structure, in Everett's sense.
arXiv Detail & Related papers (2021-03-02T00:03:06Z) - Quantum Probability's Algebraic Origin [0.0]
We show that quantum probabilities and classical probabilities have very different origins.
A transition probability that differs from 0 and 1 manifests the typical quantum indeterminacy.
It provides an unexpected access to these quantum probabilities that does not rely on states or wave functions.
arXiv Detail & Related papers (2020-09-17T18:19:41Z)
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.