Conditions for Anomalous Weak Value
Quantum Physics
2014-10-21 v1
Abstract
We show that the weak value of any observable in pre- and post-selected states can be expressed as the sum of the average of the observable in the pre-selected state and an anomalous part. We argue that at a fundamental level the anomalous nature of the weak values arises due to the interference between the post-selected state and another quantum state which is orthogonal to the pre-selected state. This provides a necessary and sufficient condition for the anomalous nature of the weak value of a quantum observable. Furthermore, we prove that for two non-commuting observables the product of their anomalous parts cannot be arbitrarily large.
Cite
@article{arxiv.1410.5221,
title = {Conditions for Anomalous Weak Value},
author = {Arun Kumar Pati and Junde Wu},
journal= {arXiv preprint arXiv:1410.5221},
year = {2014}
}