The amplification of weak measurements under quantum noise

TL;DR

This paper studies how different types of quantum noise affect the amplification in weak measurements, revealing that some noises significantly reduce amplification while others do not, guiding experimental noise management.

Contribution

It provides a detailed analysis of the impact of three typical quantum noises on weak measurement amplification, highlighting conditions for optimal signal amplification.

Findings

Depolarizing and phase damping noises sharply reduce maximum pointer shifts.

Amplification remains unaffected by amplitude damping noise.

Preselection quantum systems should avoid certain noises for effective amplification.

Abstract

The influence of outside quantum noises on the amplification of weak measurements is investigated. Three typical quantum noises are discussed. The maximum values of the pointer's shifts decrease sharply with the strength of the depolarizing channel and phase damping. In order to obtain significant amplified signals, the preselection quantum systems must be kept away from the two quantum noises. Interestingly, the amplification effect is immune to the amplitude damping noise.