Non-disturbance criteria of quantum measurements

TL;DR

This paper develops new criteria for non-disturbance in quantum measurements using a generalized sequential product, extending previous results to include unsharp measurements.

Contribution

It introduces three novel criteria for non-disturbance in quantum measurements based on a generalized sequential product framework.

Findings

Derived three criteria for non-disturbance in quantum measurements.

Generalized Gudder's results to unsharp measurements.

Applicable to a broader class of quantum measurement scenarios.

Abstract

Using the general sequential product proposed by Shen and Wu in [J. Phys. A: Math. Theor. 42, 345203, 2009], we derive three criteria for describing non-disturbance between quantum measurements that may be unsharp with such new sequential products, which generalizes Gudder's results.