Randomness in Relational Quantum Mechanics

• URL: http://arxiv.org/abs/2205.08539v1
• Date: Tue, 17 May 2022 14:27:27 GMT
• Title: Randomness in Relational Quantum Mechanics
• Authors: Gary Gordon
• Abstract summary: relational interpretation of quantum mechanics (RQM) introduced in its present form by Carlo Rovelli in 1996. RQM assumes that all objects in the universe are quantum objects, regardless of their material complexity. concept of randomness associated with quantum state variables in RQM differs from that in other QM interpretations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The relational interpretation of quantum mechanics (RQM), introduced in its present form by Carlo Rovelli in 1996, involves a number of significant departures from other QM interpretations widely discussed in the literature. We begin here by summarizing these unique RQM features, with a focus on those that suggest altered insights into the nature of the randomness exhibited in QM phenomena. One of these RQM features is the assumption that all objects in the universe are quantum objects, regardless of their material complexity. And, the interaction of any two objects can result in new relational quantum states of each of the objects with the other as reference. But such new states do not replace relational states corresponding to previous interactions with other reference objects. In particular, such earlier relational states that include a variable considered to be random do not collapse to define a determined value of the variable, but instead simply take on that specific value in the state relative to the new reference. The concept of randomness associated with quantum state variables in RQM thus differs from that in other QM interpretations. Rather than take the usual pedantic approach of elaborate side-by-side comparisons between the RQM and other common QM interpretations, we illustrate these differences by describing in some detail the well-known "dual-slit" experiment in terms of RQM concepts, pointing out the important advantages over other interpretations along the way. Of course, we suggest no change in dual-slit experiment results, but believe that the interpretative modifications are helpful and profound.

Related papers

• Relational Quantum Mechanics with Cross-Perspective Links Postulate: an Internally Inconsistent Scheme [0.0]
  We discuss the status of relative facts in the context of the new amendment to RQM called cross-perspective links. We show that RQM with cross-perspective links axiom is an internally inconsistent hidden variable theory.
  arXiv  Detail & Related papers  (2023-12-12T08:12:37Z)
• Relational Quantum Mechanics and Contextuality [0.0]
  I discuss the hypothesis that RQM follows contextuality that changes the system. I then examine how the approach of quantum logic in formal histories can be used to clarify which information about a system can be shared between different observers.
  arXiv  Detail & Related papers  (2023-08-17T11:25:35Z)
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics [101.18253437732933]
  We compare the Maximum Entropy Principle method, with the recently proposed Average Assignment Map method. Despite the fact that the assigned descriptions respect the measured constraints, the descriptions differ in scenarios that go beyond the traditional system-environment structure.
  arXiv  Detail & Related papers  (2022-05-16T19:42:24Z)
• Quantum nonreciprocal interactions via dissipative gauge symmetry [18.218574433422535]
  One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation. We present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems.
  arXiv  Detail & Related papers  (2022-03-17T15:34:40Z)
• QBism and Relational Quantum Mechanics compared [0.0]
  subjective Bayesian interpretation of quantum mechanics (QBism) and Rovelli's relational interpretation of quantum mechanics (RQM) are both notable for embracing the radical idea that measurement outcomes correspond to events whose occurrence (or not) is relative to an observer.
  arXiv  Detail & Related papers  (2021-08-31T17:00:50Z)
• Qubits are not observers -- a no-go theorem [0.0]
  The relational approach to quantum states asserts that the physical description of quantum systems is always relative to something or someone. We show, in the form of a no-go theorem, that in RQM the physical description of a system relative to an observer cannot represent knowledge about the observer.
  arXiv  Detail & Related papers  (2021-07-07T22:48:16Z)
• Sets of Marginals and Pearson-Correlation-based CHSH Inequalities for a Two-Qubit System [22.1737984719789]
  We characterize a set of jointly classicable variables of a graphical model. A crucial feature of this inequality is its nonlinearity, which poses difficulties in the proof.
  arXiv  Detail & Related papers  (2021-07-05T06:52:49Z)
• Assessing Relational Quantum Mechanics [0.0]
  Quantum Mechanics (RQM) is an interpretation of quantum theory based on the idea of abolishing the notion of absolute states of systems. We find that RQM fails to address the conceptual problems of standard quantum mechanics--related to the lack of clarity in its behavior. We conclude that RQM is unsuccessful in its attempt to provide a satisfactory understanding of the quantum world.
  arXiv  Detail & Related papers  (2021-05-27T17:47:28Z)
• 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)
• Symmetric distinguishability as a quantum resource [21.071072991369824]
  We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources. We study the resource theory for two different classes of free operations: $(i)$ $rmCPTP_A$, which consists of quantum channels acting only on $A$, and $(ii)$ conditional doubly (CDS) maps acting on $XA$.
  arXiv  Detail & Related papers  (2021-02-24T19:05:02Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)

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.