What is it about?
In the framework of quantum information signals are quantum observables (Heisenberg picture). A new transform, based on the Fourier transform, is introduced. It allows one to define the regularity of a quantum observable. As it turns out, the regularity is preserved during natural evolution, e.g., via the Markovian master equation. Also, any given regularity class of variables (an analog of a Sobolev class of functions) forms an infinite-dimensional Lie algebra. In addition, the article examines the phenomenon of broadband redundancy in a quantum context.
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Why is it important?
In the practical sphere of quantum engineering, the notion of regularity allows an estimation of the amount of quantum resources needed to process quantum signals of a given type.
Perspectives
The article explores qualitative aspects of quantum information, e.g., the structure of a quantum signal, beyond its sheer size.
Dr Artur P Sowa
University of Saskatchewan
Read the Original
This page is a summary of: A nonlocal transform to map and track quantum dynamics, Journal of Physics A Mathematical and Theoretical, July 2019, Institute of Physics Publishing,
DOI: 10.1088/1751-8121/ab2a93.
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