Response to Comment on Non-representative Quantum Mechanical Weak Values by Ben-Israel and Vaidman

TL;DR

This paper defends the original argument that certain quantum weak values do not always accurately represent the system, clarifying the scope of previous conclusions despite addressing objections.

Contribution

It refines the understanding of when quantum weak values can be considered non-representative, specifically for projection operators, and clarifies previous generalizations.

Findings

Weak values of projection operators may not always represent the system.

Previous conclusions hold for specific cases despite objections.

Clarifies the scope of weak value interpretations.

Abstract

Ben-Israel and Vaidman (Found Phys (2017). doi:10.1007/s10701-017-0071-x) have raised objections to my arguments that there are cases where a quantum mechanical weak value can be said not to represent the system to which it pertains. They are correct in pointing out that some of my conclusions were too general. However, for weak values of projection operators my conclusions still stand.