Visibility Stokes parameters as a foundation for quantum information science with undetected photons

Fuente: arXiv
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Hauptverfasser: Kysela, Jaroslav, Gräfe, Markus, Fuenzalida, Jorge
Format: Preprint
Veröffentlicht: 2024
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author Kysela, Jaroslav
Gräfe, Markus
Fuenzalida, Jorge
author_facet Kysela, Jaroslav
Gräfe, Markus
Fuenzalida, Jorge
contents The framework of measurement operators plays a fundamental role in extracting information about quantum systems. Recently, techniques based on induced coherence have been developed to access the same information for undetected photons. However, there has been a lack of consistent reformulation of quantum operators for these techniques. In this work, we introduce a set of parameters that quantify the polarization of undetected photons based on measured visibilities. Given their similarity to classical counterparts, we refer to them as visibility Stokes parameters. We apply these parameters and the corresponding quantum operators to the problem of quantum state tomography, thoroughly analyzing the environment of undetected photons and its role in the reconstruction process. Because these parameters provide a more intuitive and consistent understanding of the measurement process, we believe that some established quantum information protocols could be adapted for undetected photons.
format Preprint
id arxiv_https___arxiv_org_abs_2409_10740
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Visibility Stokes parameters as a foundation for quantum information science with undetected photons
Kysela, Jaroslav
Gräfe, Markus
Fuenzalida, Jorge
Quantum Physics
The framework of measurement operators plays a fundamental role in extracting information about quantum systems. Recently, techniques based on induced coherence have been developed to access the same information for undetected photons. However, there has been a lack of consistent reformulation of quantum operators for these techniques. In this work, we introduce a set of parameters that quantify the polarization of undetected photons based on measured visibilities. Given their similarity to classical counterparts, we refer to them as visibility Stokes parameters. We apply these parameters and the corresponding quantum operators to the problem of quantum state tomography, thoroughly analyzing the environment of undetected photons and its role in the reconstruction process. Because these parameters provide a more intuitive and consistent understanding of the measurement process, we believe that some established quantum information protocols could be adapted for undetected photons.
title Visibility Stokes parameters as a foundation for quantum information science with undetected photons
topic Quantum Physics
url https://arxiv.org/abs/2409.10740