Standard and Null Weak Values

TL;DR

This paper introduces null weak values (NWVs), a new quantum measurement protocol that offers advantages over traditional weak values (WVs), with alternative derivations and comparisons.

Contribution

The paper defines null weak values, presents two derivations, and compares them to weak values, highlighting their advantages in quantum measurement.

Findings

Null weak values are a new measurement protocol.

NWVs have advantages over traditional WVs.

Two alternative derivations of NWVs are provided.

Abstract

Weak value (WV) is a quantum mechanical measurement protocol, proposed by Aharonov, Albert, and Vaidman. It consists of a weak measurement, which is weighed in, conditional on the outcome of a later, strong measurement. Here we define another two-step measurement protocol, null weak value (NVW), and point out its advantages as compared to WV. We present two alternative derivations of NWVs and compare them to the corresponding derivations of WVs.