Three-observer classical dimension witness violation with weak measurement

TL;DR

This paper introduces a novel three-observer dimension witness protocol using weak measurement technology, demonstrating the possibility of classical dimension witness violation and its implications for quantum information applications.

Contribution

It presents the first three-observer dimension witness protocol in a prepare-and-measure setup utilizing weak measurements, expanding the understanding of quantum dimension witnesses.

Findings

Double classical dimension witness violation is achievable with proper weak measurement parameters.

The protocol provides new insights into multi-observer quantum dimension witness interactions.

Potential applications in semi-device-independent quantum random number generation and quantum key distribution.

Abstract

Based on weak measurement technology, we propose the first three-observer dimension witness protocol in a prepare-and-measure setup. By applying the dimension witness inequality based on the quantum random access code and the nonlinear determinant value, we demonstrate that double classical dimension witness violation is achievable if we choose appropriate weak measurement parameters. Analysis of the results will shed new light on the interplay between the multi-observer quantum dimension witness and the weak measurement technology, which can also be applied in the generation of semi-device-independent quantum random numbers and quantum key distribution protocols.