Indecomposability of entanglement witnesses constructed from symmetric measurements

Abstract We propose a family of positive maps constructed from a recently introduced class of symmetric measurements. These maps are used to define entanglement witnesses, which include other popular approaches with mutually unbiased bases and mutually unbiased measurements. A particular interest is...

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Bibliographic Details
Main Author: Katarzyna Siudzińska
Format: Article
Language:English
Published: Nature Portfolio 2022-06-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-14920-5
Description
Summary:Abstract We propose a family of positive maps constructed from a recently introduced class of symmetric measurements. These maps are used to define entanglement witnesses, which include other popular approaches with mutually unbiased bases and mutually unbiased measurements. A particular interest is given to indecomposable witnesses that can be used to detect entanglement of quantum states with positive partial transposition. We present several examples for different number of measurements.
ISSN:2045-2322