Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
134 tokens/sec
GPT-4o
9 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Relational objectivity in presence of finite quantum resources (2407.04391v2)

Published 5 Jul 2024 in quant-ph

Abstract: The no-go theorems of Bell and Kochen and Specker could be interpreted as implying that the notions of system and experimental context are fundamentally inseparable. In this interpretation, statements such as "spin is 'up' along direction $x$" are relational statements about the configurations of macroscopic devices which are mediated by the spin and not about any intrinsic properties of the spin. The operational meaning of these statements is provided by the practically infinite resources of macroscopic devices that serve to define the notion of a direction in three-dimensional space. This is the subject of "textbook quantum mechanics": The description of quantum systems in relation to an experimental context. Can one go beyond that? Relational quantum mechanics endeavors to provide a relational description between any quantum systems without the necessity of involving macroscopic devices. However, by applying "textbook quantum mechanics" in such situations, it implicitly assumes infinite resources, even for simple quantum systems such as spins, which have no capacity to define an experimental context. This leads to conceptual difficulties. As an alternative, we analyse Penrose's spin network proposal as a potential formalisation of quantum theory that goes beyond the textbook framework: A description in presence of finite resources, which is inherently relational and inseparable in the system-context entity.

Summary

We haven't generated a summary for this paper yet.

X Twitter Logo Streamline Icon: https://streamlinehq.com