NDLI: The Role of Bounded Memory in the Foundations of Quantum Mechanics

Content Provider	Springer Nature Link
Author	Cabello, Adán
Copyright Year	2010
Abstract	If quantum mechanics is correct and there is a finite upper bound for the speed of causal influences (e.g., the speed of light), then quantum mechanics is complete (i.e., it does not admit a more detailed description in terms of hidden variables). Here I show that the conclusion holds if we replace the assumption of bounded velocity by the assumption that there is a finite upper bound to the memory a finite physical system can store (e.g., the Holevo bound). On the way to this conclusion I first show that, although the quantum violation of an inequality valid for any non-contextual model can be explained with a classical contextual model, the inequality can be promoted to a Bell inequality in which, if the model is contextual, then it must be also non-local. This suggests that there is something non-classical in any contextual explanation of the individual systems, and leads us to the question of which are the minimum resources (and specifically memory) any contextual explanation should consume.
Starting Page	68
Ending Page	79
Page Count	12
File Format	PDF
ISSN	00159018
Journal	Foundations of Physics
Volume Number	42
Issue Number	1
e-ISSN	15729516
Language	English
Publisher	Springer US
Publisher Date	2010-09-16
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physical principles of quantum mechanics Quantum contextuality Kochen–Specker theorem Quantum non-locality Bell’s theorem Bounded memory Mechanics Quantum Physics History and Philosophical Foundations of Physics Classical and Quantum Gravitation, Relativity Theory Philosophy of Science Statistical Physics, Dynamical Systems and Complexity
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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