What is it about?
An equiangular tight frame is a set of finite-dimensional unit vectors with the same angle between any two. Such lines have found use in signal and image processing, data compression, sampling theory, quantum information science, and so on.
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Why is it important?
Discrete structures of particular states with notable properties are widely used in quantum information. Equiangular lines in a finite-dimensional space are one of interesting cases. Symmetric informationally complete measurements already recognized are a special class of equiangular lines. Hence, equiangular tight frames deserve more quantum applications than they obtained. The paper is devoted to uncertainty relations for measurements assigned to such frames. It aims to push quantum information science in this direction.
Perspectives
Uncertainty relations for special measurements are interesting in their own rights as well as for building feasible schemes to detect non-classical correlations.
Dr Alexey Eduardovich Rastegin
Irkutsk State University
Read the Original
This page is a summary of: Entropic uncertainty relations from equiangular tight frames and their applications, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, June 2023, Royal Society Publishing,
DOI: 10.1098/rspa.2022.0546.
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