On the Validity of the Weak Value Approximation

Fuente: arXiv
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Auteur principal: Bauml, Benjamin Noë
Format: Preprint
Publié: 2023
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author Bauml, Benjamin Noë
author_facet Bauml, Benjamin Noë
contents The weak value approximation has been in use for thirty-five years, but it has not as of yet received a truly complete derivation, leaving its mathematical validity in a state of limbo. Herein, I fill this gap, deriving the weak value approximation under the von Neumann and qubit probe models. Not only does this provide a level of mathematical support to the weak value approximation not attained in previous works, but the techniques demonstrated in the process might be usable by others to forge similar derivations for alternative models, thus teasing the possibility of even broader validation in the future.
format Preprint
id arxiv_https___arxiv_org_abs_2312_10397
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the Validity of the Weak Value Approximation
Bauml, Benjamin Noë
Quantum Physics
The weak value approximation has been in use for thirty-five years, but it has not as of yet received a truly complete derivation, leaving its mathematical validity in a state of limbo. Herein, I fill this gap, deriving the weak value approximation under the von Neumann and qubit probe models. Not only does this provide a level of mathematical support to the weak value approximation not attained in previous works, but the techniques demonstrated in the process might be usable by others to forge similar derivations for alternative models, thus teasing the possibility of even broader validation in the future.
title On the Validity of the Weak Value Approximation
topic Quantum Physics
url https://arxiv.org/abs/2312.10397